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1.4 1.5 2.1 *Doc PAD ( X 2.1 2.2 2.3 .Doc Car'S PAD O X 25 4 (3, 14) (1(x)--x2+6.x+5 13(x)--2. x2+6.x 0,51 12(x)=x 2+5

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1.4 1.5 2.1 *Doc PAD ( X 2.1 2.2 2.3 .Doc Car'S PAD O X 25 4 (3, 14) (1(x)--x2+6.x+5 13(x)--2. x2+6.x 0,51 12(x)=x 2+5 text Sally is interested in finding the area between f(x) = - x^2 + 6x + 5 and g(x) = x^2 + 5, as bounded at the points of intersection where x = 0 and x = 3. The desired area is the shaded region in the first given graph. Sally knows that the desired shaded region is equivalent to finding the area under the curve of (-2x^2 + 6x), shown on a different scale in the second given graph. If she evaluates S(-2x^2 + 6x)dx between x = 0 and x = 3, what area should she find? O can not be determined with the given information O [-(2/3)"(3)^3 + 3*(3)^2] - [-(2/3)*(0)^3 + 3*(0)^2], which turns out to be 9 O [-(2/3) (0)^3 + 3*(0)^2] - [-(2/3)*(3)^3 + 3*(3)^2], which turns out to be -9 O [-2*(3)^2 + 6*(3)] - [-2"(0)^2 + 6*(0)], which turns out to be 0

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