Solution manual calculus 8th edition varberg, purcell, rigdon ch03

... = by 36 Let the x-axis lie on the diameter of the semicircle and the y-axis pass through the middle Then the equation y = r − x describes the semicircle Let (x, y) be the upper-right corner of... is decreasing throughout I 32 38 Since x + = has no real solutions, f ′( x ) exists and is continuous everywhere x – x + = has no real solutions x – x + > and x + > for all x, so f ′( x) > for... relative maximum and a relative minimum, we must have two solutions to the above quadratic equation That is, we must have B − AC > = −5 x The two solutions would be − B − B − AC 3A − B + B − AC Evaluating