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Juliette [100K]
2 years ago
15

Let f be the function given by f(x)=3ln⁡(2+x2)cos⁡x. What is the average value of f on the closed interval 2≤x≤6?

Mathematics
1 answer:
ladessa [460]2 years ago
4 0

The average value of f(x) over [2, 6] is given by the definite integral,

\displaystyle f_{\rm ave[2,6]} = \frac1{6-2} \int_2^6 3\ln(2+x^3)\cos(x) \, dx

and is approximately -1.67284.

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B3BB
skad [1K]

Answer:

C is correct

Step-by-step explanation:

Firstly, we have to solve for x in the solution set of the inequality

We have this as follows;

x + 2 ≥ 6

x ≥ 6-2

x ≥ 4

To graph this, we consider the middle sign which is greater than or equal to

So, the inequality sign has to face the right side

secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol

so, the correct answer here is option C

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2 years ago
Monica and her parents spend $170 on new swimsuits Monica swimsuit cost $35 her mom swimsuit cost twice as much as Monica's how
Tju [1.3M]
Her dads swimsuit cost $65
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2 years ago
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BlackZzzverrR [31]

Answer:- 1) there are three terms

2) 3,4,1

6 0
3 years ago
The dishwasher Marlin wants costs $720. This week only, the dishwasher is discounted by 25%. Marlin must pay 6% sales tax. Which
Mkey [24]

Answer:

C, both methods save the same amount of money

Step-by-step explanation:

First, we need to calculate what each answer choice will equal.

For A, it asks us to add the sales tax and then take the discount off. So, to find out what the sales tax is equal to, we multiply 720 x 0.06 (because 6% is equal to 0.06).

720 x 0.06 = 43.2

Add the sales tax to the original amount and you get 763.2.

Now we take the discount, which is 25% or 1/4.

1/4 of 763.2 is 190.8.

Subtract the discount from the price and you get 572.4.

For B, it says to take the discount first and then add the sales tax.

25% = 1/4, so 1/4 of 720 is equal to 180.

Subtract 180 from 720, and you get 540.

Now add the sales tax.

540 x 0.06 = 32.4.

540 + 32.4 = 572.4.

The answer is C, both methods save the same amount of money!

7 0
2 years ago
What is 8.143 * 10 to the 3rd power
Sphinxa [80]
Ten to third power is 1,000 :)

3 0
3 years ago
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