Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. f(x)=√√x (3-x); [0,3] Choose the correct answer. OA. Yes, f(x) is continuous at every point in [0,3] and differentiable at every point in (0,3). OB. No, f(x) is continuous at every point in [0,3] but is not differentiable at every point in (0,3). OC. No, f(x) is differentiable at every point in (0,3) but is not continuous at every point in [0,3]. O D. Yes, f(x) is continuous at every point in (0,3) and differentiable at every point in [0,3].
Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. f(x)=√√x (3-x); [0,3] Choose the correct answer. OA. Yes, f(x) is continuous at every point in [0,3] and differentiable at every point in (0,3). OB. No, f(x) is continuous at every point in [0,3] but is not differentiable at every point in (0,3). OC. No, f(x) is differentiable at every point in (0,3) but is not continuous at every point in [0,3]. O D. Yes, f(x) is continuous at every point in (0,3) and differentiable at every point in [0,3].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer.
f(x)=√√x (3-x); [0,3]
Choose the correct answer.
A. Yes, f(x) is continuous at every point in [0,3] and differentiable at every point in (0,3).
OB. No, f(x) is continuous at every point in [0,3] but is not differentiable at every point in (0,3).
OC. No, f(x) is differentiable at every point in (0,3) but is not continuous at every point in [0,3].
OD. Yes, f(x) is continuous at every point in (0,3) and differentiable at every point in [0,3].
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Transcribed Image Text:Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer.
f(x)=√√x (3-x); [0,3]
Choose the correct answer.
A. Yes, f(x) is continuous at every point in [0,3] and differentiable at every point in (0,3).
OB. No, f(x) is continuous at every point in [0,3] but is not differentiable at every point in (0,3).
OC. No, f(x) is differentiable at every point in (0,3) but is not continuous at every point in [0,3].
OD. Yes, f(x) is continuous at every point in (0,3) and differentiable at every point in [0,3].
...
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