7. Show that the function r(0) = 0+ sin2 -8 has exactly one zero in the interval (-o,00). Rolle's Theorem states that for a function f(x) that is continuous at every point over the closed interval [a,b] and differentiable at every point of its interior (a,b), if f(a) = f(b), then there is at least one number c in (a,b) at which f (c) = 0. Find the derivative of r(0) =0 + sin2 -8. r'(0) = Can the derivative of r(0) be zero in the interval (-0,0)? O Yes O No in the interval (-0,00). According to Rolle's Theorem, since the derivative of r(0) is never zero in the interval (- 0,00), there cannot be two points e= a and 0=b for which r(a) =r(b) in this interval. In other words, the function r(0) has (1) Which theorem can be used to determine whether a function has any zeros in a given closed interval? O A. Mean value theorem O B. Extreme value theorem OC. Intermediate value theorem

7. Show that the function r(0) = 0+ sin2 -8 has exactly one zero in the interval (-o,00). Rolle's Theorem states that for a function f(x) that is continuous at every point over the closed interval [a,b] and differentiable at every point of its interior (a,b), if f(a) = f(b), then there is at least one number c in (a,b) at which f (c) = 0. Find the derivative of r(0) =0 + sin2 -8. r'(0) = Can the derivative of r(0) be zero in the interval (-0,0)? O Yes O No in the interval (-0,00). According to Rolle's Theorem, since the derivative of r(0) is never zero in the interval (- 0,00), there cannot be two points e= a and 0=b for which r(a) =r(b) in this interval. In other words, the function r(0) has (1) Which theorem can be used to determine whether a function has any zeros in a given closed interval? O A. Mean value theorem O B. Extreme value theorem OC. Intermediate value theorem

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Description: Can i get help step by step? 7.Show that the function r(0) = 0+ sin2-8 has exactly one zero in the interval (-o,00).Rolle's Theorem states that for a function f(x) that is continuous at every point over the closed interval [a,b] and differentiable at

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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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.

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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.

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

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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?

7.
Show that the function r(0) = 0+ sin2
-8 has exactly one zero in the interval (-o,00).
Rolle's Theorem states that for a function f(x) that is continuous at every point over the closed interval [a,b] and differentiable at every point of its interior (a,b), if f(a) = f(b), then there is at least one number c in (a,b) at which f (c) = 0.
Find the derivative of r(0) =0 + sin2
-8.
r'(0) =
Can the derivative of r(0) be zero in the interval (-0,0)?
O Yes
O No
in the interval (-0,00).
According to Rolle's Theorem, since the derivative of r(0) is never zero in the interval (- 0,00), there cannot be two points e= a and 0=b for which r(a) =r(b) in this interval. In other words, the function r(0) has (1)
Which theorem can be used to determine whether a function has any zeros in a given closed interval?
O A. Mean value theorem
O B. Extreme value theorem
OC. Intermediate value theorem

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