Approximate the area under a curve using midpoint approximation Question Approximate the area under the curve f(x) = sin- (ax) using the midpoint approximation rule with 3 rectangles over [0, 1]. Give your answer in decimal form. Provide your answer below:

Exercises 77-81. Find the area between the curves. 77. y = cos x, y = - sinx, x = 0, x= 1.

functions as a function of y. This Refresher will help you grasp some prerequisite material. Question The tortoise versus the hare: The speed of the hare is given by the function H(t) = sin(t) and the speed of the tortoise is T(t) = cos(t), where t is time measured in hours and the speed is measured in miles per hour. Find the area between the curves from time t = 0 to the first time after one hour when the tortoise and hare are traveling at the same speed. Round your answer to three decimal places and do not include units. Provide your answer below: 10 7 4 1 O 8 5 2 4 9 6 3 3 4 ÷ X ' + X X O To ± : XI $ C E