This question is about the function f(8) = (0 – 3) cos(@). (a) Explain why the graph of f lies on or above the 0-axis for all values of 0 in the interval [37/2,5/2]. (b) Write down an expression, involving a definite integral, that gives the area between the graph of f and the 0-axis, from 0 = 37/2 to 0 = 5x/2. (c) Use integration by parts to find the area described in part (b), giving both the exact answer and an approximation to three decimal places.
This question is about the function f(8) = (0 – 3) cos(@). (a) Explain why the graph of f lies on or above the 0-axis for all values of 0 in the interval [37/2,5/2]. (b) Write down an expression, involving a definite integral, that gives the area between the graph of f and the 0-axis, from 0 = 37/2 to 0 = 5x/2. (c) Use integration by parts to find the area described in part (b), giving both the exact answer and an approximation to three decimal places.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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