A company finds that the marginal profit in dollars per foot

Problem 3 Find the arc length of the graph of x e e from y 1 to y 1

Problem 2 Find the arc length of the graph of y from x 1 to x 3

Compute the following derivative using the method of your choi cos x5 sin 5x dx cos x5 sin 5x

Find the arc length of the curve below on the given interval y In x x 1 for 1 x 65 Hint Integrate with respect to y The length of the curve is Simplify your answer

Use the inverse relations between In x and e exp x and the properties of In x to prove the following properties a exp 0 1 b exp x y exp x exp y c exp x exp xy y rational a How can exp 0 be calculated Choose the correct answer below OA Find In exp 0 B Calculate exp 0 as the product of a constant and 0 c Find a value a for which In a 0 and substitute In a for 0 D Calculate the limit of exp x as x approaches 0 X S dt Recall that Inx X dt For what value is Type an exac answer X S dt 0

Find the volume of the solid generated when R shaded region is revolved about the given line 1 x y 1 x 1 about y 1 The volume of the solid obtained by revolving the region about 1 i 5x

Determine the following indefinite integral Check your work by differentiation S5 dr dr

Find the value of T S 2 esin a cos q dq 1 C 2

Find the value of S 2 esin a cos q dq 2

Find the following integral Note that you can check your answer by differentiation S 7 e2z dx