Prof. S. Brick Math 120

Spring ’02 Applied Calculus; Quiz 6 – redone section 2

0. Print your name:

1. Suppose you know for a fact that the derivative of f(x) = x3is f0(x)=3x2. Find the

equation of the tangent line at x= 2.

2. Suppose P(t) is the price of a stock as a function of time. What does the statement

“The price of the stock is falling but leveling oﬀ” say about the sign of P0(t) and P00 (t) ?

3. Sketch two copies of the graph of y=x2from x= 1 to x= 2 and in one draw

two evenly-spaced rectangles using left-hand endpoints, in the other two evenly-spaced

rectangles using right-hand endpoints. Which one underestimates the area ? Which one

overestimates the area ?

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Mathematics

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Allahabad University

Subject:
Calculus

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31/03/2013