Chapter 6.3, Problem 32E

Determine the area bounded by f(x)=x²-X and x-axis. 1 A unit² 4 B unit² (C) unit² D ~/m 6 unit²

Use linear approximation to approximate the value of In(0.83) two decimal places. In(0.83)

y = 4 (2,4) A y = 2x x = 2 B y =x (0,0) Region A is bounded by the lines y= 2x, y= 4 and the y-axis. Region B is bounded by the line y = 2x and the parabola y = x?. Region C is bounded by the parabola y = x?, the line x = 2 and the x-axis. 13. Which definite integral represents the area of region A? A. f (4 – 2x)dx B. f(4 – 2x)dx D. dy - dy 14. What is the area of region A? A. s. u. B. s. D. s.u 3 S. u. C. - s. u. 15. What is the area integral for region B? A S(/y-?)dy B. S (x-2«)dx D. f (2.x – x² )dx 16. What is the area of region B? A. s.u. B. 4 s.u. C. s.u. D. 2 s.u. 17. What is the area of region C? A. s.u. B. s.u. C. s.u. D. s.u. 18. Which definite integral represents the combined areas of regions A and B? ² – 4 )dx B. [ 5dy С. 2- dy (4-x2