9. [0.5/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 6.1.028. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Sketch the region enclosed by the given curves. y = 2 cos(x), y = 2 - 2 cos(x), OSX S n N N 1 1 2 O.S 1.0 X.5 2.0 2.5 3.0 0.5 1.5 2.0 2.5 3 0.5 1.0 1.5 2.0 2.5 3.0 -1 -1 - 2 -2 1.0 1.5 2.0 2.5 3.0 -3 -3 -1 10-4 @o-2/ Find the area of the region. Need Help? Read It10. [-/1 Points] DETAILS SCALCET9 6.XP. 1.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Sketch the region enclosed by the graphs of the given functions. y = 7 cos(nX), y = 12x2 - 3 00 -1.0 -1.0 -05 d.5 1.0 -8 Find the area of the region. Need Help? Read It Watch It11. [-/1 Points] DETAILS SCALCET9 6.1.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use calculus to find the area A of the triangle with the given vertices. (0, 0), (5, 1), (1, 8) Need Help? Read it Watch It 12. [-/1 Points] DETAILS SCALCET9 6.1.043. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the integral and interpret it as the area of a region. */2 16 sin(x) - 6 cos(2x) | dx Sketch the region. 4/ 4 2 N 2 X OIN- NIX -21 -21 - 2 -2 -4 - 6- -6 -61 O Need Help? Read It Watch It13. [-/1 Points] DETAILS SCALCET9 6.1.056. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The widths (in meters) of a kidney-shaped swimming pool were measured at 4-meter intervals as indicated in the figure. 10.2 8.4 7.5 7.2 7:2 9.3 10.8 Use the midpoint rule with n = 4 to estimate the area (in m ) of the pool. m 2 Need Help? Read It14. [-/1 Points] DETAILS SCALCET9 6.1.061. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions. A B t (min) (a) Which car is ahead after three minutes? car A car B Explain your reasoning. The area under curve A is greater than the area under curve B. The area under curve B is greater than the area under curve A. (b) What is the meaning of the area of the shaded region in the context of this problem? It is how much faster A is traveling than B after 3 minutes. It is how much faster B is traveling than A after 3 minutes. It is the distance by which A is ahead of B after 3 minutes. It is the distance by which B is ahead of A after 3 minutes. (c) Which car is ahead after six minutes? car A car B Explain your reasoning. The area under curve A is greater than the area under curve B. The area under curve B is greater than the area under curve A. (d) Estimate the time t (in min) at which the cars are again side by side. t = min Need Help? Read It Watch It15. [-/1 Points] DETAILS SCALCET9 6.1.065. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the number b such that the line y = b divides the region bounded by the graphs of y = 4x and y = 25 into two regions with equal area. (Round your answer to two decimal places.) b= Need Help? Read It Watch It
