Page 4 of 7 Problem 3 MATH-1326-THQ 4, 2017-01-30 12:57 (a) Find the area of the region bounded by f (x) = x2 + 1, X-axis and the lines x = (b) Find the area of the region bounded by f (x) = x2 9, X-axis, x = 0 and x = 6. 1 and x = 2. Page 5 of 7 Problem 4 Compute area of the region bounded by f (x) = x2 , g(x) = MATH-1326-THQ 4, 2017-01-30 12:57 p x, x = 0 and x = 2. Page 6 of 7 Problem 5 (a) Find the area enclosed by functions f (x) = x2 MATH-1326-THQ 4, 2017-01-30 12:57 4 and g(x) = 4 (b) Find the area of the region enclosed by f (x) = x2 and g(x) = 2x. x2 . Page 7 of 7 MATH-1326-THQ 4, 2017-01-30 12:57 Problem 6 Karla Harby communications, a small company of science writers, found that its rate of profit (in thousands of dollars) after t years of operations is given by 1 P 0 (t) = (3t + 3)(t2 + 2t + 2) 3 (a) Find the total profit in the first three years. (b) Find the profit in the fourth year of operation. (c) What is happening to the annual profit over the long run? Enjoy