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# Test2 - meters above the ground(Assume the balloon rises...

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Name: _______________________ Exam #2 - Chapter 3 Show all work for full credit! 1. Sketch the derivatives: (5 points each) a. b.

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2. (10 points each) Find dy dx for each of the following: a) ( 29 ( 29 x x y sin sin = b) 2 2 3 3 y x y x = +
c) x x y 1 = d) 2 3 x y x =

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3. (10 points) A particle’s position at time t is given by the function 3 2 ( ) 12 36 s t t t t = - + for 0 t a. Find all times when the particle is moving in the positive direction and is slowing down. b. Find all times when the particle is moving in the negative direction and speeding up. 4. (10 pts.) A balloon rises at a rate of 3 meters per second from a point on the ground 30 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 30

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Unformatted text preview: meters above the ground. (Assume the balloon rises straight up) Write your answer in a sentence and use the word “increase” or “decrease” in your answer. 5. (15 points) A four -function calculator can only add, subtract, multiply and divide. Using a four-function calculator and ideas from this class, approximate 99.4 . 6. (15 points) Using the following graphs, find the answers to parts a and b: a) Find the derivative of ( 29 ) ( ) ( x g f x y = when 1-= x b) Find the equation of the tangent line to y(x)=f(x)/g(x) at x = 3...
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