6. 6.2.11 The curves intersect when 3x, or 3x2(x2 +1) = 6. This can be written as 3z4+3x2-6 = 0, x2 +1 %3D or (r + 2? - 2) = 0. Factoring gives (r2 +2)(x² – 1) = (x² + 2)(x – 1)(x + 1) = 0, so the curves intersect at r = -1 and z = 1. Using symmetry, the area is given by 3x2 dx = 2 (6 tan-- x) = 2 4 x2 + = 3T – 2.

Jika f(x) = X-1 maka f'(x) adalah %3D x-1 a. X+1 d. b. с. X-1 е. x+1 O A В C O E 1/8 a.

If the function y = 2x² is integrated between the limits of x = - 3 and x = + 3, the result is ____.

2. The proportion, of the wind's energy that can be obtained from a windmill is given by E(x) = 4x – 8x² +4x, where x is the proportion by which wind is slowed as it passes through the windmill. Find the proportion x that maximized the proportion of the wind's energy function on the interval [0,1]. (Give exact answers in the lowest terms) Ans.