6. Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. f(x) = /x (4 - x); [0,4] Choose the correct answer. O A. No, f(x) is differentiable at every point in (0,4) but is not continuous at every point in [0,4]. O B. Yes, f(x) is continuous at every point in [0,4] and differentiable at every point in (0,4). OC. Yes, f(x) is continuous at every point in (0,4) and differentiable at every point in [0,4]. O D. No, f(x) is continuous at every point in [0,4] but is not differentiable at every point in (0,4).

6. Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. f(x) = /x (4 - x); [0,4] Choose the correct answer. O A. No, f(x) is differentiable at every point in (0,4) but is not continuous at every point in [0,4]. O B. Yes, f(x) is continuous at every point in [0,4] and differentiable at every point in (0,4). OC. Yes, f(x) is continuous at every point in (0,4) and differentiable at every point in [0,4]. O D. No, f(x) is continuous at every point in [0,4] but is not differentiable at every point in (0,4).

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Description: Can i get help step by step? 6. Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer.f(x) = /x (4 - x); [0,4]Choose the correct answer.O A. No, f(x) is differentiable at every point in

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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Can i get help step by step?

6. Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer.
f(x) = /x (4 - x); [0,4]
Choose the correct answer.
O A. No, f(x) is differentiable at every point in (0,4) but is not continuous at every point in [0,4].
O B. Yes, f(x) is continuous at every point in [0,4] and differentiable at every point in (0,4).
OC. Yes, f(x) is continuous at every point in (0,4) and differentiable at every point in [0,4].
O D. No, f(x) is continuous at every point in [0,4] but is not differentiable at every point in (0,4).

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