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3 years ago

Find the average value of the function f(t)=(t-2)^2 on [0,6]

Mathematics

1 answer:

pentagon [3]3 years ago

4 0

Answer:

Step-by-step explanation:

The "average value of function f(x) on interval [a, b] is given by:

f(b) - f(a)

ave. value = ---------------

b - a

Here f(t)=(t-2)^2.

Thus, f(b) = (b - 2)^2. For b = 6, we get:

f(6) = 6^2 - 4(6) + 4, or f(6) = 36 - 24 + 4 = 16

For a = 0, we get:

f(0) = (0 - 2)^2 = 4

Plugging these results into the ave. value function shown above, we get:

16 - 4

ave. value = ------------ = 12/6 = 2

6 - 0

The average value of the function f(t)=(t-2)^2 on [0,6] is 2.

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What is the input-output table for the function f(x) = 3x^2-x+4

mojhsa [17]

Answer:

Step-by-step explanation:

The input-output table can be made by putting value of x and finding the value of f(x)

f(x) = 3x^2-x+4

f(0) = 3(0)^2-0+4 = 0-0+4 = 4

f(1) = 3(1)^2-1+4 = 3-1+4 = 2+4 =6

f(2) = 3(2)^2-2+4 = 3(4)-2+4 = 12-2+4 = 10+4 = 14

f(3) = 3(3)^2-3+4 = 3(9)-3+4 = 27-3+4 = 24+4 = 28

So put value of x and find f(x) and fill the input-output table.

x f(x)

0 4

1 6

2 14

3 28

3 0

3 years ago

What is the written form of the fraction 1/3 ? Patty stirred 1/3 cup of milk into the macaroni and cheese. A. one-third B. one t

yKpoI14uk [10]

One third is the written form.
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3 0

3 years ago

Read 2 more answers

After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:

NemiM [27]

Answer:

The option of 6 minutes with 8 tickets given more time for the money.

Step-by-step explanation:

Which one gives you more time for your money?

We have to find the time per ticket, which is the number of minutes divided by the number of tickets.

6 minutes: 8 tickets

6/8 = 0.(60/8) = 0.75 minutes per ticket.

8 minutes:12 tickets

8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.

So the option of 6 minutes with 8 tickets given more time for the money.

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2 years ago

I will mark you the brainiest for the correct answer, please be correct, Have a good day and take care, thanks. ( VIEW THE IMAGE

makkiz [27]

Mistake in Line 2 : Was in the determining the values for a ,b,c

Mistake in Line 4 : Not taking the square roots of both sides.

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2}$

First Mistake : Line 2

$a = x \\ b = 6 \\ c = 10$

Second Mistake : Line 4

$136 = {x}^{2} \\ not \\ 136 = x$

Correct Solution :

${x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x}^{2} = 100 - 36 \\$

${x}^{2} = 64 \\ \sqrt{ {x}^{2} } = \sqrt{64} \\ x = 6$

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2 years ago

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Harlamova29_29 [7]

Answer:

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Step-by-step explanation:

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2 years ago