Prof. S. Brick Math 120
Fall ’02 Applied Calculus; Quiz 5 section 52
0. Print your name:
1. Estimate the rate of change of y=√xat x= 4 using the interval [4,4.1].
2. Suppose you know for a fact that the derivative of y=x3
−x2is y0= 3x2
−2x. Find the
equation of the line tangent at x= 2 and graph both the function and the tangent line on a
single graph.
3. You go out out on a bike ride. Your velocity versus time is graphed. Positive means
you are going north. Negative means going south. Indicate the time of the northern
most point of your trip and when you’re going north the fastest. Explain your reasoning.