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Let f'(x)=ex+x and let H(X) be the equation of the tangent line to f(x) at x = a. If H(x) is used to produce an estimate for f(a+0.1), then which of the following statements is true? Select one: Oa. H(a+0.1) < f(a+0.1) for all values of a. b. H(a+0.1) > f(a+0.1) for all values of a. c. H(a+0.1) = f(a+0.1) for at least one value of a. X Incorrect Od. H(a+0.1) > f(a+0.1) for some values of a and H(a +0.1)

Let f'(x)=ex+x and let H(X) be the equation of the tangent line to f(x) at x = a. If H(x) is used to produce an estimate for f(a+0.1), then which of the following statements is true? Select one: Oa. H(a+0.1) < f(a+0.1) for all values of a. b. H(a+0.1) > f(a+0.1) for all values of a. c. H(a+0.1) = f(a+0.1) for at least one value of a. X Incorrect Od. H(a+0.1) > f(a+0.1) for some values of a and H(a +0.1)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Question
Let f'(x)=ex+x and let H(X) be the equation of the tangent line to f(x) at x = a. If H(x) is used to produce an estimate for f(a+0.1), then which of the following statements is true? Select one: Oa. H(a+0.1) < f(a+0.1) for all values of a. b. H(a+0.1) > f(a+0.1) for all values of a. c. H(a+0.1) = f(a+0.1) for at least one value of a. X Incorrect Od. H(a+0.1) > f(a+0.1) for some values of a and H(a +0.1) <f(a+0.1) for other values of a.
Transcribed Image Text:Let f'(x)=ex+x and let H(X) be the equation of the tangent line to f(x) at x = a. If H(x) is used to produce an estimate for f(a+0.1), then which of the following statements is true? Select one: Oa. H(a+0.1) < f(a+0.1) for all values of a. b. H(a+0.1) > f(a+0.1) for all values of a. c. H(a+0.1) = f(a+0.1) for at least one value of a. X Incorrect Od. H(a+0.1) > f(a+0.1) for some values of a and H(a +0.1) <f(a+0.1) for other values of a.
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