Monday, May 25, 2009

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forum # 2 Graphs: software tool for learning and solving real problems.

Graphs: A software tool for building, editing and analysis that can be useful for teaching, learning and problem solving also for related disciplines such as operations research, network design, industrial engineering, logistics and transportation among others. A graph can be represented as a network model a business reality. This model can be analyzed from different points of view because the algorithms and functions built into the tool. In computer science, can be used without restrictions.
graphs are the natural representation of the networks, which are each again included.
are mathematical artifacts that allow visually express a very simple and effective relationships that exist between elements of various kinds. A simple graph consists of two sets:
• A set V of points called vertices or nodes.
• A set of pairs of vertices called edges or arcs that indicate which nodes are related.
In a more informal way we can say that a graph is a set of nodes with links between them, called edges or arcs.
Example:
A graph consists of a set of nodes (or vertices) and a set of arcs. Each arc in a graph is specified by a pair of nodes.
The set of nodes is {A, B, C, D, F, G, H} and the set of arcs {(A, B), (A, D), (A, C), (C, D) (C, F), (E, G), (A, A)} for the following graph

TERMINOLOGY
*.- The number of nodes in the graph is called the order of the graph.
*.- A null graph is a graph of order 0 (zero). *.-
Two nodes are adjacent if there is an arc that joins them.
*.- In a directed graph, if A is adjacent to B, B is not necessarily adjacent
*.- A Path is a sequence of one or more arcs that connect two nodes.
*.- A graph is called connected when there is always a path linking any two nodes
and disconnected otherwise.
*.- A graph is complete when each node is connected with every one of the remaining nodes.
*.- The path of a node and it is called a cycle.
The philosophy of this tool is the following: drawing, model, solve and analyze. " This is intended that the user has absolute freedom to discuss and address problems. You can draw freely without worrying graph analysis or algorithm to be used later. The program will warn you if it is impracticable or any other requirement for a particular analysis. The graphs using a learning experience based on their freedom and-error testing stages (Learning through play).
Example: Graph Implementation in means of transport.



Video:
http://www.youtube.com/watch?v=iMJXWYz9vE0

According to the concept graph, apply a daily life example.

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Forum # 1 Establish values, functions and operations of the different data types

To delve into the point of exposure is not exposed to "set the values, functions and operations of different types of data," presents the following text.

Expressions are combinations of constants, variables, operation symbols (mathematical, logical and relational) and function names used in the body algorithm. Expressions have values, while values \u200b\u200band properties have types. The values \u200b\u200byou can set and get a property class must be compatible with the property and the type of functions is determined by its arguments and return value. In case of default arguments is considered that the latter did not have these values, as to the various operators can be both arithmetic and logical expressions, such as the (+) sum, (-) subtraction, (+ + ) increase, (-) decrease (<) menor, (>) or lower (=) Like others, we also mention the sqrt function returns the result of the square root of x. As an example we can add two numbers together and present the sum. See if the word sum is not in quotes, which tells C + + which is a variable and that the program should write the value of that variable, not the word sum (which would happen if in quotes, like "The sum is: "). Important: When performing an arithmetic operation, which first runs to the right of the equal sign (=) and the resulting value is stored in the variable that is left of the equal sign.


# include main ()

{int num1 = 5;
int num2 = 3;
int sum;
sum = num1 +
court << “La suma es: “ << suma << endl;
num2 return (0);}


• Do According to the explanation and the example given, name at least two operations can be performed using these parameters?
• If we are going to make a multiplication sentence should change in the program?
• What contributions can give more information of this item?

Sunday, May 24, 2009

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HOW TO USE THE SCALE ON THE DRAWING. ANGLE TRIANGLES

Scale is the relationship between an object and the real object drawn. It is used as scale, usually a fractional number whose numerator is unity, for example, 1 / 50, in this example the real object is 50 times larger than the object drawn.

The instrument used to measure the scale in the drawing is called scaler and can find various scales ranging has allowed us to draw different objects in different sizes, but accurate measurements.

Each basic scale has variations that are generated by adding or removing a zero to the basic scale derecah, eg

base scale: 1 / 100
variations: 1 / 1 - 1 / 10 - 1 / 1000 - 1 / 10000 scale

base: 1 / 50
variations: 1 / 5 - 1 / 500 - 1 / 5000 - 1 / 50000 scale

base: 1 / 75
variations: 1/7.5 - 1 / 750 - 1 / 7500 - 1 / 75000 scale

base: 1 / 125
variations: 1/12.5 - 1 / 1250 - 1 / 12500

base scale: 1 / 20
variations: 1 / 2 to 1 / 200 - 1 / 2000 - 1 / 20000 scale

base: 1 / 25
variations: 1/2.5 - 1 / 250 to 1 / 2500 - 1 / 25000

There are other scales that are not as commercial how are you which are generally used in surveying

How we use the scale to draw?

1 -. When we are given a drawing exercise, we identify the scale at which we are asking that we draw, then we must locate the scaler Jan scale of measurement that can be used.

2 -. We must remember that everything is drawn concerning the exercise that being conducted must be drawn on the scale that we indicated (line, circle radii, diameters, quadrilaterals, distances, coordinates of points, etc).

3 -. The only element that does not support drawing scale and always measured the same way, regardless of the scale on which are the angles work. These will be measured co simpre a carrier and with the same grading system.

4 -. in the case of the exercise indicates a fucking coordinate (X, Y), this should be measured on the same scale that are working the exercise.

Saturday, May 16, 2009

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Triangle the flat is between three (3) straight cut pairs.
Triangles are classified according to:

the relative length of its sides:
· Equilateral Triangle: If you have three (3) equal sides.
· Isosceles Triangle: if you only have two (2) equal sides.
· Scalene Triangle: If you have any side alike.

by Angles:
· triangle: if you have a right angle and two (2) treble. The sides forming the right angle are called legs. The side opposite the right angle is called the hypotenuse.

· obtuse triangle: If you have an obtuse angle and two (2) treble.
· acute triangle: If you have three acute angles.

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angle is the flat portion between two (2) calls straight sides that meet at a point called the vertex. The straight line starting from the vertex divides the angle into two equal parts is called a bisector.
Angles are classified according to:
sides:
· Angle Rectilinear: is formed by two (2) straight lines.
· Angle Curvy: is formed by two (2) curved lines.
· Angle mixtilineal: is formed by a line and a curve.

YOUR OPENING:
· Angle Right: is half a straight angle and is 90 °, is formed when two (2) lines are perpendicular.
· Angle Acute: is an angle whose opening is less than 90 º.
· Angle Obtuse: is an angle whose opening is greater than 90 º.
· Angle Llano, is one that measures exactly 180 degrees, in this case its sides are opposite rays with the same vertex.

KEEP THE RELATIONSHIP BETWEEN THEM:
· Angle Supplemental: when the sum or difference is a right angle, ie is 90 º. Supplemental
· Angle: those whose total worth 180 or more.
· Angle vertical angles: two (2) angles are vertical angles when the sides of one are extensions of the other side.

Monday, May 11, 2009

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REVIEW GUIDE FOR MATHEMATICS SEMESTER IV SEMESTER

SEMESTER EXAM GUIDE MATHEMATICS IV

NOTE: Remember that answered phone is required to submit review. On Monday 18 will review progress with their guide and clarify doubts

SOLVE WHAT IS ASKED

1. Find the distance between pairs of points whose coordinates are:
a) (4, 1), (3, -2)
b) (-7, 4), (1, -11)
2. Find the perimeter of the triangles whose vertices are
a) (0.5), (-3,4), (0, -3)
b) (-2.5) (4.3), (7 , -2)
3. Prove that triangles given by the coordinates of its vertices isosceles
a) (2, 4), (5, 1), (6, 5)
b) (6, 7), (-8, -1), (-2, -7)
4. Demonstrate, by the distance formula, the following points are collinear
(0, 4), (3, -2) (-2, 8)
5. Find the coordinates of the midpoints, the segment bounded by the following
a) (-2.3) (-6, 1)
b) (1, 2), (-3, 10)
6. Find the slope and angle of inclination of the lines through the following
a) (1.3) (7.1)
b) (-5.3) (2, -3)
7. Find one of the interior angles of triangles whose vertices are
a) (4.2), (0.1), (6, -1)
b) (-3, -1), (4.4), (-2.3)
8. Find areas of polygons, the coordinates of the vertices are:
a) (0.4), (-8.0), (-1, -4)
b) (1.5), (-2.4 ), (-3, -1), (2, -3), (5.1)
9. Find equations of lines that meet the following conditions
a) P (0, -3), m = -2
b) P (0.4), m = 1 / 3
c) (2, -3) and (4.2)
d) (-4.1) and (5, -3)
e) a = 5, b = 1
f) a = 7, b = -5
g) m = -4 , b = 5
h) m = 2, b = 3
10 Find the equation of two lines through A, one parallel and one perpendicular to the line that corresponds to the given equation:
a) A (7, 0), 9x + y - 3 = 0
b) A (-4, 0), 4x + 3y - 2 = 0
11. Find the distance from the line at any given point
a) x + y -3 = 0, (4, 5)
b) 3x + y - 10 = 0, (-3, -1)
12. In the triangle of vertices A (-5.6), B (-1, -4), C (3.2), Find a) the equations of the medium and the point of intersection of the same b) their bisectors and
intersection point 13. Find the equations of the altitudes of the triangle whose vertices are A (-5.6), B (-1, -4), C (3.2), and their point of intersection
14. Find the equation of the circle:
b) center point (0.5) and radius 5
c) center point (-4.2) and diameter 8
d) center point (4, -1 ) and passing through the point (-1.3)
e) across the segment joining the points (-3.5) (7, -3)
15. Find the center and radius of the circles below. Determine if each of them is real, imaginary or reduced to a point.
a) x2 + y2-8x + 10y - 12 = 0
b) 2x2 + 2y2 - x = 0
16. A circle has its center at point C (0, -2) and is tangent to the line 5x - 12y + 2 = 0. Halle its equation
17. Find the equation of the circle whose radius is 5 and whose center is the point of intersection of lines
3x - 2y - 24 = 0 and 2x + 7y + 9 = 0
18. Write the equation of the parabola with vertex at the origin and satisfies the condition in each case
a) focus on (-4.0)
b) focus on the axis and passes through (2.8)
c) opens to the right and straight length is 16
lada 19. Find the coordinates of the focus, the coordinates of the extreme right side and the equation of the guideline in each case
a) y2 =-16x b) x2 = 12y
20. Write the equation of the parabola, which satisfies the following conditions
a) vertex (0.3), focus (4.3)
b) vertex (5, -2), focus (-2, -2)
c) vertex (4, -1), right side 8, is opened to the right
21. Determine for each equation of the parabola the coordinates of the vertex, focus, and the extreme right side
a) y2 + 12x - 48 = 0
b) and 2 - 8y + 6x + 16 = 0
c) x2 - 8x + 6y - 8 = 0

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GUIDE TO PHYSICS II EXAM GUIDE TO PHYSICAL IV

SEMESTER EXAM GUIDE FOR PHYSICS II

NOTE: Remember that answered phone is required to file test. On Monday 18 will review progress with their guide and clarify doubts

THEORY (understanding and interpreting these concepts)

kinematics, dynamics, movement, trajectory, distance, displacement, velocity, speed, average speed, acceleration , force, Newton's laws, free body diagram, action line, mass, weight, uniform circular motion, angular displacement, radian, revolution, grade, angular velocity, period, frequency, work, energy, kinetic energy, potential energy , power.
II. SOLVE THE FOLLOWING PROBLEMS
1. Determine displacement in meters from a car going at a speed of 80 km / h to the east, for 0.5 min
2. Calculate the time in seconds it takes a train to travel straight 3 km to the south with a speed of 70 km / h.
3. The speedometer of a car registered a reading of 22 687 km at the beginning of a journey and 22 791 km at the end. The trip takes 4 hours. What was the average speed of travel?
4. A broker gives complete 1.5 revolutions around a circular track in a time of 50 s. The diameter of the track is 40 m and the circumference (perimeter) is 126 m. Encuéntrense (a) the average speed of the corridor and (b) the magnitude of the average velocity of the corridor.
5. A plane starts from rest and reaches a speed of 95 km / h in 7s for takeoff. What is its acceleration?
6. A car has an initial speed of 20 km / h north and 4s speed is 50 km / h. Calculate its movement in that time
7 A motorcyclist who goes to the South has a velocity of 10 km / h, then accelerates uniformly 3 m/s2 for 5 s, calculate the velocity obtained at the end of 5 seconds.
8. A car traveling at 60 km / h strikes a tree. Its front end is compressed and the driver comes to rest after traveling 0.70 m. What was the average deceleration of the driver during the collision?
9. It dropping an object from the mouth of the well bottom and takes four seconds to calculate the depth of the well
10. A stone is thrown downward from a height of 30 meters with a speed of 4 m / s. Calculate the time it hit the ground
11. A projectile is launched vertically upward with a speed of 25m / s, calculate the time it takes to increase
12. What initial velocity must shoot an arrow straight up to a depth of 110 m in 5.4 s?
13. A ball is thrown straight upward and returns to the ground in a time of 16 seconds, calculate the maximum height the ball.
14. A diver runs at 1.8 m / s is thrown horizontally from the edge of a ravine, and into the water 2.0 s later. How high was the cliff?
15. A tiger leaps horizontally from a rock 15 m high with a speed of 4.0 m / s. How far from the base of the rock will reach the ground?
16. A ball is thrown from a window at a speed of 10 m / s What are the components of the velocity of the ball after 2 seconds?
17. A stone is thrown horizontally with a speed of 20 m / s from a height of 70 m. Calculate the time it takes to reach the ground
18. A ball with a horizontal speed of 15 m / s wheel of a bench with a height of 1.5 m. What is its impact velocity?
19. It fires a mortar shell with an elevation angle of 30 degrees and an initial velocity of 40 m / s on level ground. Calculate the components of its velocity after 2.3 seconds
20 .. A cannon fires a projectile with an elevation angle of 50  and an initial velocity of 400 m / s on level ground. Identify the components of its position after 1.7 seconds
21. A golf ball is hit and get an initial speed of 40.0 m / s at an angle of 40 ° to the horizontal. Determine the maximum height
22. A long jumper leaves the ground at an angle of 30 degrees and travels 8.90 m. What was the takeoff speed?
23. It throws a stone at a speed of 40 m / s at an angle of 26  to the horizontal. Calculate your total flight time
24. Draw a free body diagram (forces of action and reaction) corresponding to the figure below (the same task three)


25. Find the tension of the strings A and B for the settlement of the figure below
(the same task three)

26. Calculate the weight of a body whose mass is a) 2 kg b) 2500 gc) 3 utm d) 20 slug
27. Calculate the mass of a body whose weight is a) 150000 dynes b) 800 N c) 10 pounds d) 45 kiloponds
28. A body of 110 N is raised by a lightweight cable. Cua1 " is the tension in the cable when the acceleration is equal to (a) zero, (b) 2 m/s2 upwards and (c) 5 m/s2 down?
29. A load of 50 kg cement is lifted by a cable to an acceleration of 1.8m/s2. What is the string tension?
30. A load of 8 kg hanging on the end of a rope. Find the acceleration of the load if the tension in the cord is 85N

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REVIEW GUIDE FOR PHYSICS SEMESTER IV

NOTE: Remember that the guide answered a requirement to submit review. On Monday 18 will review progress with their guide and clarify doubts

THEORY ( understand and interpret these concepts)
Elasticity, Hooke's general law, effort, yield, hydraulics, hydrostatics, hydrodynamics, specific gravity, density, relative density, pressure, Pascal's principle, Archimedes' principle, laminar flow, expenses, temperature , heat, heat, Boyle's Law, Charles Law, Gay-Lussac, mol, calorie, kilocalorie, British thermal unit, latent heat of fusion, latent heat, first law of thermodynamics, adiabatic process, process isochoric, isothermal and second laws of thermodynamics.

B) MEET THE FOLLOWING PROBLEMS
1. When a 500 g mass hangs from a spring, it extends 3 cm. What is the spring constant?
2. At one end of a spring 6 has crashed in a weight of 4 lb, so the new length of the spring is 6.5 in What is the spring constant?
3. The cross-sectional area of \u200b\u200ba copper rod is 4.5cm2. What is the weight or maximum force that can stand? RL = 338x106 Pa
4. A mass of 500 kg is hung from the end of a metal wire whose length is 2 m and is 1 mm in diameter. If the wire is stretched 1.40 cm, what have been the stress and strain? What is the Young's modulus in the case of this metal?
5. An aluminum wire 150 cm in length and 2.46 cm 2 cross sectional area is suspended from the ceiling. What weight at its lower end supports if you have an aspect ratio of 0.5x10-4 m? Y = 68.900 x106Pa
6. A shear force of 26 000 N is uniformly distributed over the cross section of a pin of 1.3 cm in diameter. What is the shear stress?
7. A pressure of 3 x 108 Pa is applied to a block whose volume is 0,500 m3. If the volume decreases by 0,004 m3, which is the bulk modulus?
8. The bulk modulus for a particular type of oil is 2.8 X1010 Pa. How much pressure is required for volume decrease according to a factor of 1.2%?
9. The air has a density of 1.29 kg/m3 at standard conditions. What is the mass of air in a room with dimensions 10 mx 8 mx 3 m?
10. Determine the mass of an aluminum cube that is 5 cm per side. The density of aluminum is 2700 kg/m3.
11. Find kilopascals pressure produced by a column of mercury 55 cm high
12. A tube containing water at a gauge pressure of 400, 000Pa. If you cover a hole of 4 mm in diameter in the tube with a piece of tape, what force must be capable of withstanding the tape?
13. The pressure gauge in an automobile tire is of 28 Ib/in2. If the wheel supports 1 000 lb, what is the area of \u200b\u200bthe tire in contact with the ground?
14. A force of 400N is applied to the small piston of a hydraulic press whose diameter is 4 cm. What should be the diameter of the large piston so you can lift a load of 200 kg?
15. A solid object weighs 8 N in the air. When this object is hung from a spring balance and submerged in water, its apparent weight is only 6.5 N. What is the density of the object?
16. A solid piece of aluminum ( = 2.70 g/cm3) "weighs" 8.35 g in the air. If it is submerged in a tank of oil ( = 0.75 g/cm3) by a rope, what is the tension in the rope?
17. To fill a gasoline storage tank was sent an expenditure of 0.1 m3 / s during a time of 200 s. How large is the tank?
18. Calculate the diameter must have a pipe, so that spending is of 0,025 m3/sa a speed of 5m / s
19. For a pipe of 5.08 cm in diameter, water flow rate of 1.6 m / s. Calculate the speed you carry the water passes through a narrowing of the pipe where the diameter is 4 cm.
20. Through a horizontal tube of variable cross section provides a flow of water. In a place of absolute pressure is 140,000 Pa and speed is 0.8m / s. Determine the pressure elsewhere in the same tube, where speed is 4m / s
21. The boiling point of oxygen is -297.35 ° F. Express this temperature in degrees kelvin and degrees Celsius.
22. A gas sample is cooled to -120 to -180 ° C. Express the temperature variation in degrees kelvin and
23. A piece of copper pipe is 6 m in length at 20 ° C. What will increase in length when heated to 80 ° C?  = 1.7x10-5 / C
24. The diameter of a hole in a steel plate is 9 cm when the temperature is 20 ° C. What is the diameter of the hole at 200 ° C?  = 1.2x10-5 / C
25. A silver square plate measures 8 cm per side at 20 ° C is heated to 100 ° C, what is the new area of \u200b\u200bthe copper plate?  = 1.7x10-5 / C
26. If 200 cm3 of benzene exactly a cup filled with aluminum at 40 ° C and the system is cooled to 7 ° C, how much benzene (at 18 ° C) can be added to the cup without spilling?  Al = 2.4x10-5 / C, β = 12.4x10-4 / C
27. Pyrex flask has an internal volume of 600 ml at 20 ° C. What temperature is the interior volume of 603 ml?
28. An ideal gas occupies a volume of 4.00 m3 at an absolute pressure of 200, 000Pa. What will the new pressure if the gas is compressed slowly to 2.00 m3 at constant temperature?
29. A steel cylinder contains an ideal gas at 27 ° C. Gauge pressure is 140,000 Pa. If the pot temperature rises to 79 ° C, what will the new pressure gauge?
30. An air compressor receives 2 m3 of air at 20 ° C and pressure of one atmosphere (101.300Pa). If the compressor discharge in a 0.4 m3 tank at an absolute pressure of 200.000 Pa 1, what is the temperature of discharged air?
31 .. Three moles of an ideal gas have a volume of 0,026 m3 and a pressure of 300.000 Pa. What is the gas temperature in degrees Celsius?
32. How many pounds of nitrogen gas (M = 28 g / mol) fill a volume of 2 000 liters at an absolute pressure of 202.000 Pa and a temperature of 80 ° C?
33. How much heat is required to change the temperature of 400g of asbestos (c = 0.2cal/gC °) 20 ° C to 70 ° C
34. How much aluminum (c = 0.22cal/gC °) at 20 ° C will be added to 400 g of hot water at 80 ° C for the equilibrium temperature is 30 ° C?
35. A piece of metal of 450 g is heated to 100 ° C and then dropped into the bowl of an aluminum calorimeter contains 50 g to 100 g of water. The initial temperature of the cup and water is 10 ° C and the equilibrium temperature is 21.1 ° C. Find the specific heat of metal.
36. A worker pulls a piece of iron of 2 kg of an oven and places it in an aluminum container of 1 kg, which was partially filled with 2 kg of water. If the water temperature rises from 21 to 50 ° C, what was the initial temperature of iron?
37. In a smelting oven is a cast fully up to 540 kg of copper. If the initial temperature of copper was 20 ° C, how much total heat needed to melt copper?
38. How much heat is released cuando300 g total steam at 140 ° C into ice at -10 ° C?

Friday, May 8, 2009

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1 -. Divide a line into N equal parts (Extrapolation).
· Sea the line AB is to be divided into N equal parts.
· For A we draw a ray assistant anyone.
· with an opening either of the compass and from A and the auxiliary ray, we note as many segments as we want to divide the line AB.
· We combine the latest measured with the B end of the line.
· Then we draw lines parallel to this for each one of the marking, so the line AB is divided into N equal parts.



2 -. Draw two (2) common external tangents to two (2) different radio circles.
· Given the circles K and K 'of different radii.
· Joining the centers of these circles with a line KK '.
· Wanted the midpoint of the line KK 'and U. gets the point
· Using K center and with radius smaller than the circumference K, draw a concentric circle .
· Making U-center and radius equal to the UK, is an arc intersecting the concentric circle, getting the points A and B.
· straight Uniting through K with A and B and the length to cut the circle K, obtaining the points R and S.
· On the point K 'trace parallel radii KR and KS, cutting the circle K' and obtaining the Sections I and L.
. We join the points by a straight line RI and SL respectively, obtaining the two tangents.




3 -. Connect the end of a line, an arc that passes a given point.
· Given the AT segment and point B.
· Join point A to B draw a perpendicular segment indefinitely AB in the middle, getting the fist I.
· Draw a perpendicular to the segment AT, by the point A.
· Where the two intersecting perpendicular obtain the H center point of the arc AB.
. Using center opening H and has set the arc, giving the joint.


4 -. Connect two arcs with a given segment.
· Since the two (2) arches of the segment AB.
· Draw rays AC and BD perpendicular to segment AB and opposite directions .
· determine the midpoints of the segments AM and MB respectively, obtaining the points P and Q.
· Using P center and draw a PA opening arc, getting the point R.
· center Using Q and QB draw an arc opening, getting the point T.
. Join R T, obtaining the joint.