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(solution) Problem 1: At 11:00am, a car (1) leaves city "A" at a


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Problem 1:

 

At 11:00am, a car (1) leaves city "A" at a constant rate of 60 mi/hr toward city "B". At the same

 

time a second car (2) leaves city "B" toward city "A" at the constant rate of 50 mi/hr. The

 

distance between cities A and B is 220 miles and these cities are connected by a highway used by

 

the two cars. At what time will the two cars cross each other?

 

formation of both images, to show how this is possible. (b) Find the height and image distance

 

for the first image. What is the x-coordinate of the first image, using the x-axis shown on the

 

diagram? (c) Find the radius of curvature of the concave mirror. (d) Find the position and height

 

of the final image. What is the x-coordinate of the second image?

 

An underground coaxial cable is being used for communication between stations A and B. The

 

stations are 10 km apart. The cable develops a short circuit somewhere between A and B. a. How

 

can you determine the position of the short circuit? Write down the step by step procedure and

 

the relevant equations. b. How can you justify that the problem is a short circuit and not an open

 

circuit?

 

1. Select b = 0 and find values of a and c for which the vertex is at (0,4) and f has x-intercepts (2,0) and (2,0). 2. Select a = 1 and c = 2. For which values of b is the x-coordinate of the vertex

 

positive? 3. Select a = -1 and c = 2. For which values of b is the x-coordinate of the vertex

 

positive? 4. Select y-intercept and find the coordinates of the y-intercept in terms of a, b, and c.

 

5. Select tangent line at x = 0 and find the c

 


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