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l. (4 points} Suppose that L(x) is the linearizaon of a differentiable function f{x) at x = a . Suppose that f'(a) >1} and f(a}
l. (4 points} Suppose that L(x) is the linearizaon of a differentiable function f{x) at x = a . Suppose that f'(a) >1} and f"(a} 0 2. (4 points} The diameter of a sphere is measured to be 6 inches with a possible error of 1105 inches. Use differentials to estimate the maximum error in the calculated volume. Circle the correct answer. (A) :r in3 (B) 0.05 in3 (e) 5.05 in3 (D) 0.9:: in3 (E) 0.13013 3. (4 points} "Which of the following condition is n_ot necessary for a function f(x) to be continuous at x = a '2' Circle the correct answer. (A) f(a} is dened (B) 13.11} f(x] exists (C) lira? f(x) = fz) (D) 33;! fix) = 333 {00 (E) 103%?\" exists
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