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Please show your work. (incorrect) ( A ) [ S( x)dx= 13. (1 point) (B) ['s (x)dx a. Given the graph of y = 1

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Please show your work.

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(incorrect) ( A ) [ S( x)dx= 13. (1 point) (B) ['s (x)dx a. Given the graph of y = 1 + x, indicate on the graph below the rectangles used to calculate the right endpoint approxima- (9) [ f ( x )dx = tion to the integral / 1 + xdx. with three subintervals (R3). (D) [ f ( x)dx = Answer(s) submitted: (incorrect) 16. (1 point) Even before the invention of calculus, Archimedes using an ingenious method, discovered that the area A under a parabolic arch is two-thirds the base b times the height h: A = =bh Use calculus to verify by finding the area under the curve y = h(1 - 2x2) for -b/2 u. Find the speed that minimizes the energy E. Be sure to show (incorrect) that you do have a local min. 11. (1 point) The following graph is the graph of f' (x). Answer(s) submitted: (incorrect) 9. (1 point) The Reaction R(x) of a patient to a drug dose of size x de- pends on the type of drug. For a certain drug, it was determined that a good description of the relationship is: R(x ) = AX( B -x), OKX 1, lim - xIn(x) Assuming the P is a function of v and that all the other pa- * -+ 00 xa rameters are constant and positive, determine the velocity that (g) lim - makes the power a maximum, and find a formula for this maxi- hoh Answer(s) submitted: mum power. Max power when velocity is. Answer(s) submitted: . . . . (incorrect) Generated by WeBWork, http:/webwork.maa.org, Mathematical Association of America

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