28 Answered Questions for the topic Mean Value Theorem
Mean Value Theorem Calculus
03/23/22
Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f’(c) in the conclusion of the Mean Value Theorem for the function and intervals.
Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f’(c) in the conclusion of the Mean Value Theorem for the function and intervals.g(x) = {x³, -2 ≤ x ≤ 0; x², 0 < x ≤ 2
Mean Value Theorem Calculus
02/04/22
Using the Mean Value Theorem, how small can f(10) be, given the conditions below? f(2)=20 and f'(x)≥9 for 2<x<10
11/01/21
If the speed limit is 60 mph, can the police cite you for speeding.
At 10:17 am you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 am, which is located 39 miles from the first police car. If the speed...
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Mean Value Theorem
01/29/19
AP Calculus AB; Mean Value Theroem homework
Hey guys, I am in AP Calculus and, so far, I finish like 85-90% of my work, but I am stuck with two questions, which is mainly about Mean Value Theorm, and I thought it gonna be easy and fast. But,...
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01/15/19
How is sin (5π/4) - cos (5π/4) = 0
In the question verify rolles theorem for the function f(x) = e^x ( sin x - cos x ) on [π/4, 5π/4],I can't understand why sin (5π/4) - cos (5π/4)=0?
Mean Value Theorem
09/03/18
if the mean of the data set 12, 19, 2, 4, 11 and x is 11 , what is the value of x?
I don't know how to answer this . how would I go about finding the value of x?
Mean Value Theorem
04/23/18
Let f(x) = (x − 3)^−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1).
Could someone please solve for c? I have solved it and I get c is equal to 7 but apparently it is wrong.
Thank you
Mean Value Theorem
04/22/18
Mean Value Theorem; f(x) = e^(-4x) on the interval [0,2]
Can somebody please help me find the value where f'(c)= f(b)-f(a)/b-a
I know f(x) does satisfy the hypothesis for the mean value theorem and the the derivative is -4e^(-4x)
How do I solve...
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11/28/17
Consider the function f(x)=x^n for positive integer values of n. (b) For what values of n does the function have a point of inflection at the origin?
I also have to explain my reasoning
Mean Value Theorem Calculus
11/28/17
Consider the function f(x)=x^n for positive integer values of n. (a)what values of n does the function have a relative minimum at the origin? (b) what values o
I also have to explain my reasoning
Mean Value Theorem
02/09/17
Need help with a mean value theorem problem
Does the Mean value theorem apply to the given function on the given interval? Is so, find "c". If not, why not?
f(x) = x - sin(pi x), [-1,1]
Mean Value Theorem
03/24/16
Mean Value Theorem
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 4x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem
Mean Value Theorem
11/27/15
y = - x ^2/ 2 + x - 1/ 2 ; [-2, 1] , find the value of c that satisfies the mean value theorem
I am trying to understand this calculus problem but I am stuck. Please help me.
Mean Value Theorem
08/26/15
mean value theorem
let f(x)= x3 + 3x2 -10x , so that f(1)= -6 and f(2)= 0. by the mean value theorem, there exist a number y in the open interval (0,1) such that f ’(1+y) = 6. the value of y turns out to be
a)...
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08/11/15
application of mean value theorem
The function f(x)= x(2/3) on [-8,8] does not satisfy the conditions of the mean-value theorem because... A. f(0) is not defined. B. f(x) is not continuous on [-8,8]. C. f ‘...
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Mean Value Theorem Calculus 1
08/02/15
Mean Value Theorem
a.) Verify that the hypotheses of the Mean Value Theorem are satisfied for each of the functions on the given interval, and b.)find the value of "c" which Mean Value Theorem...
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Mean Value Theorem Calculus
06/21/15
MEan value Theorem help!?
Verify that the hypotheses of the Mean Value Theorem are satisfied for each of the functions on the given interval, and find the value of "c" which Mean Value Theorem guarantees. f(x)= 4 − √x on...
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05/27/15
MEAN VALUE THEOREM AND AVERAGE SLOPE
Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open...
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05/27/15
Consider the function f(x)=8sqrt(x)+7
Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open...
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Mean Value Theorem
12/30/14
how to find mean value theorem?
is there any condition that f(a) and f(b) must equal thn we will find f'(c)?.otherwise not
11/05/14
HELP HELP HELP
Cosider the quadratic function f(x) = Ax2 +Bx +C, where A,B,and C are real numbers with A≠ 0. Show that when the Mean Value Theorem is applied is applied to f on the interval [a,b],the number c...
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11/04/14
Finding f'(c) With an Inequality
Suppose that f'(x)≤2 for 2≤x≤4. Show that f(4)-f(2)≤4.
Assume that f does satisfy the conditions of the Mean Value Thereom on the interval [2,4].
I'm using f(b)-f(a)/b-a=f'(c). So I'm assuming...
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10/12/14
Mean Value Theorem Help!
Verify the function f(x)=1/x satisfies the hypothesis of the mean value theorem on [1,3]. Then find all numbers c that satisfy the conclusion of the mean value theorem.
Mean Value Theorem
04/03/14
mean value theorem
find the value(s) of c that satisfy the mean value theorem for the given function and interval.
f'(x)= √(x-3) [3,8]
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