Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. f(x)=√x (9-x): [0,9] Choose the correct answer. OA. No, f(x) is continuous at every point in [0,9] but is not differentiable at every point in (0,9). B. No, f(x) is differentiable at every point in (0,9) but is not continuous at every point in [0,9]. C. Yes, f(x) is continuous at every point in (0,9) and differentiable at every point in [0,9]. OD. Yes, f(x) is continuous at every point in [0,9] and differentiable at every point in (0,9).
Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. f(x)=√x (9-x): [0,9] Choose the correct answer. OA. No, f(x) is continuous at every point in [0,9] but is not differentiable at every point in (0,9). B. No, f(x) is differentiable at every point in (0,9) but is not continuous at every point in [0,9]. C. Yes, f(x) is continuous at every point in (0,9) and differentiable at every point in [0,9]. OD. Yes, f(x) is continuous at every point in [0,9] and differentiable at every point in (0,9).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Pls solve this question correctly instantly in 5 min i will give u 3 like for sure
![Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer.
f(x)=√x (9-x); [0,9]
Choose the correct answer.
OA. No, f(x) is continuous at every point in [0,9] but is not differentiable at every point in (0,9).
B. No, f(x) is differentiable at every point in (0,9) but is not continuous at every point in [0,9].
C. Yes, f(x) is continuous at every point in (0,9) and differentiable at every point in [0,9].
OD. Yes, f(x) is continuous at every point in [0,9] and differentiable at every point in (0,9).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a0d4915-7a7e-40a4-9b8d-cbb54bdfde13%2Fb9d575e8-c143-4abf-add4-ff522ee805e4%2Fsw3ulrl_processed.jpeg&w=3840&q=75)
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 (9-x); [0,9]
Choose the correct answer.
OA. No, f(x) is continuous at every point in [0,9] but is not differentiable at every point in (0,9).
B. No, f(x) is differentiable at every point in (0,9) but is not continuous at every point in [0,9].
C. Yes, f(x) is continuous at every point in (0,9) and differentiable at every point in [0,9].
OD. Yes, f(x) is continuous at every point in [0,9] and differentiable at every point in (0,9).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
