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ZanzabumX [31]
3 years ago
5

Let the function f be continuous and differentiable for all x. Suppose you are given that f(−1)=−3, and that f'(x) for all value

s of x. Use the Mean Value Theorem to determine the largest possible value of f(5).

Mathematics
1 answer:
Monica [59]3 years ago
8 0

Answer:

Step-by-step explanation:

By MVT,

f'(c) = \frac{f(5)-f(-1)}{5-1}

4f'(c)= f(5) + 3\rightarrow f(5) = 4f'(c) - 3

Moreover, f'(x)\leq 4~~~~~~ \forall x,

f(5) \leq 16 - 3 =13

Hence the largest possible value of f(5) is 13

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Refer to the number line. Find the coordinate of point D that is 7/16 M to J. of the distance from M to J.​
Usimov [2.4K]

The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let us assume that point M is at (20, 1) and point J is at (4, 17), hence:

If point D(x, y) is 7/16 M to J, then:

x = (7/16)(4 - 20) + 20 = 13

y = (7/16)(17 - 1) + 1 = 8

The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

Find out more on equation at: brainly.com/question/2972832

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4 0
1 year ago
Which expression can be used to find the volume of the sphere?
Kryger [21]

Answer:

They used 3.14 for pi:

V=\frac{4}{3} \pi r^3

V=\frac{4}{3} (3.14)(5)^3

Step-by-step explanation:

V=\frac{4}{3}\pi r^3 is the volume of a sphere with radius r.

I think that is the diameter given in the picture.

The radius is half the diameter.

So the radius is 5 since the diameter is 10.

Plug in this gives you:

V=\frac{4}{3} \pi (5)^3

4 0
3 years ago
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Attendance at last year's show was 16,000 people. This year 16,800 people attended the show. What was the percent change in atte
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The percent change in attendance, relative to last year's show is a 5% increase.

<h3>What is a percentage? </h3>

A Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

<h3>What is the percentage change in attendance? </h3>

The value of the percentage change in attendance can be determined by subtracting the number of people in this year's show from the number of people at last year's show. The result would be divided by the number of people at last year's show and multiplied by 100.

[(16,800 - 16,000)/16,000] x 100 = 5%

To learn more about percentages, please check: brainly.com/question/25764815

3 0
2 years ago
Can anyone help with this?
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1. Is 8 seconds
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