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Marina86 [1]
3 years ago
6

Find the average value of the function over the given interval and all values of x in the interval for which the function equals

its average value. (Round your answer to three decimal places.) f(x) = 4x3 − 3x2, [−1, 3]
Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

The average value of f(x)=4x^3-3x^2 over [-1, 3] is

\displaystyle\frac1{3-(-1)}\int_{-1}^3(4x^3-3x^2)\,\mathrm dx=\frac14\left(x^4-x^3\right)\bigg|_{-1}^3=\frac{(3^4-3^3)-(1+1)}4=\boxed{13}

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Which counting rule would you use to determine total seating arrangements for a group of 8 people at a table with 6 chairs? Sele
Stolb23 [73]
To determine the number of possible arrangements for 6 out of 8, we should use combinations. That is
ₐC₆ = 8!/(6!2!)

Answer: b. Combination
5 0
3 years ago
30 POINTS FOR THE GENUIS WHO CAN ANSWER THIS!!
bearhunter [10]

Answer:

Answers are below in bold

Step-by-step explanation:

1) A = 1/2bh          Use this equation to find the area of each triangular base

A = 1/2(8)(6)         Multiply

A = 1/2(48)           Multiply

A = 12cm²           Area of each triangular base

2) A = L x W        Use this equation to find the area of the bottom rectangular face

A = 20 x 8          Multiply

A = 160 cm²       Area of the bottom rectangular face

3) A = L x W        Use this equation to find the area of the back rectangular face

A = 20 x 6          Multiply

A = 120 cm²       Area of the back rectangular face

4) A = L x W        Use this equation to find the area of the sloped rectangular face

A = 20 x 10         Multiply

A = 200 cm²      Area of the sloped rectangular face

5) To find the total surface area of the triangular prism, add together all of the numbers.

A = 12 + 12 + 160 + 120 + 200       Add

A = 504 cm²       Total area of the triangular prism

6 0
3 years ago
Is 0.5 greater than 9/18
frutty [35]

No. 
It's not smaller either.
0.5  is exactly equal to  9/18 .
Both of them are different ways to write "one half".

6 0
3 years ago
Read 2 more answers
Determine whether the graph can represent a normal curve. If it cannot, explain why.
FromTheMoon [43]

Answer:

The answer would be C

Step-by-step explanation:

The answer would be C because It is the most resnible and becaue I took that not to long ago.

Hope this helps

Please give me Brainliest

7 0
3 years ago
PLEASE HELPPP, its timed. NO BOTS please i want serious answers.
Rzqust [24]
CDAB

4.2 (convert to frac on ur own)

12.5=x

CB= 14.5

AB= 8.82
6 0
3 years ago
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