questions below:

Sketch the region of integration and evaluate the integral. x2 dy dx - 4x Sketch the region of integration. Choose the correct graph below. O A. O B. 20- O C. Ay 20- OD. 20 7 Ay 207 -20 Evaluate the integral. x 2 160 dy dx = 3 (Type an integer or a simplified fraction.) - 4xThe integral gives the area of the region in the xy-plane. Sketch the region, label each bounding curve with its equation, and give the coordinates of the points where the curves intersect. Then nd the area of the region. 12 y Io yz/sdXdy Choose the correct answer below. 0 A. o B. o c. (48,12) \\ * * (48.10) Q The area of the region is 96 . (Simplify your answer.) If f(x,y) = 160(y + 4) represents the "population density" of a planar region on Earth, where x and y are measured in miles, nd the number of people in the region bounded by the curves x = y2 and x =4y - y2 Express the number of people in the region as an iterated integral. 1'} Evaluate the integral in the previous step. 6400 The exact value of the integral is T . Approximate the answer in the previous step and choose the correct units. The number of people in the region is approximately 2133 people . (Round to the nearest integer as needed.)