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MATH 16A QUIZ 7-
(1) Circle T(rue) or F(alse). No work required.
(a) T / F: Let f(x) be a differentiable function. Then f(x) + 3 is an anti-derivative of f'(x).
(b) T / F: There exists a constant k such that kx3 is an anti-derivative of (x + 1)2.
(2) Find all functions f(x) with the property that f(x) = √x + 1 and f(4) = 0.
(3) Compute
0∫ln 6e2x + (3/2)ex dx
and simplify your answer until you get a whole number.
(4) Find the area under the curve f(x) = (x - 1)2 + 1/6 between x = 0 and x = 2. Simplify your answer until you get a whole number.
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