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6) Joe invests $5000 in an account with an interest rate of 3.5%, compounded annually. Find an equation to represent the amount of money in
6) Joe invests $5000 in an account with an interest rate of 3.5%, compounded annually. Find an equation to represent the amount of money in Joe's account as a function P(t) of time t. (a) P(t) = 5000e3.5t (b) P(t) = 5000(1.035) (c) P(t) = 5000e 0.035t (d) P(t) = 5000(3.5)t 7) Given the following graph of f'(x), the derivative of f(x), which of the following is NOT true? (a) f(x) is increasing on (-0o, -2) U (4, too). (b) x = 1 is an inflection point of f(x). (c) f(x) is concave up on (-0o, too). (d) f(x) is concave down on (-0o, 1). 8) Find the equation of the tangent line to the function f(x) = ex + x2 + 1 at x = 0. (a) y=x+1 (b) y = 2x +1 (c) y = 2x + 2 (d) y = x+2
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