1. (08.03 08.04 HC) For the regions A and B shown in the graph: Part A: Discuss the limits of integration. (3 points) Part B: Set up an integral expression that represents the total area. (4 points) Part C: Calculate the total area. (3 points) 4 y = x2+1 A B x = (y-3)2-2 0 - -1 26 -3 -4 -3 -2 -1 2 3 4 52. (08.01 MC) What is the average value of f(x) = _ on the closed interval [1, 5]? (6 points) O In5 O In 5 O 24 25 3. (08.03 MC) Which definite integral represents the area of the region that is bounded by 2x + 4y- = 0 and y = 2x + 3? (6 points) O 3 Key -3+2y?) dy O O O ( 2)2 _ by + 3)dy5. (08.01 MC) For time t 2 0, the velocity of a particle moving along the x-axis is given by v(t) = t - 412 + t. The initial position of the particle at time t = 0 is x = 4. Which of the following gives the total distance the particle traveled from time t = 0 to time t = 4? (6 points) 4+ 10 x3 - 4x2 + x dx O 4+10(x3 -4x2 + x )dx O (x3 -4x2 + x )dx 0 6/x3 - 4x2 + x dx 6. (08.03 MC) Which of the following describes the area of the region in quadrant II bounded by f(x), g(x), and the y-axis, if f(x) = x2 - 2x and g(x) = -3x - x2 + 3? (6 points) O [is(-X-2x2 +3) dx = 27 O pis(-x-2x2 + 3)dx = 27 [is(x + 2x2 -3) dx = 11 [is(x +2x2 -3)dx = 171 rue-:12 ME} A certain mesquite population changes at the rate ME) = 12.1{123t mesquites per day, wheret represents time in days. If the mosquito pepulatien is I549 at t = G] then how many mesquitc-s are there an day 5? Round to the nearest whole number. [6 r