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(Zpts) Free Response #3: Suppose we desire to approximate v 15 using a linear approximation. a. (4 pts) Let f(a) = 2x and center

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(Zpts) Free Response #3: Suppose we desire to approximate v 15 using a linear approximation. a. (4 pts) Let f(a) = \\ 2x and center at c = 8. Write the linearization, L, for the given function at the indicated center, where I(ac) = f(c) + f' (c)(x - c). Your final response should be a linear function. b. (3 pts) Using L as found in part (a), calculate the approximation of 15. Your final response should be a fraction. c. (2 pts) Given that f" (ac) = -1 is this an underestimate or an overestimate V8x3 of the true value? Justify with an appropriate calculation. HINT: when > > 0, then Vx > 0. O Mark Finished

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