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olga55 [171]
3 years ago
6

550000000000000000 • 0.00000000044

Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0

Answer:

550000000000000000 0.00000000044

Step-by-step explanation:

000000Oo

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What is the total area of the regions between the curves y = 6x2 − 18x and y = −6x from x = 1 to x=3?.
kvasek [131]

Using integration, it is found that the area between the two curves is of 22 square units.

<h3>What is the area between two curves?</h3>

The area between two curves y = f(x) and y = g(x), in the interval from x = a to x = b, is given by:

A = \int_{x = a}^{x = b} |f(x) - g(x)| dx

In this problem, we have that:

f(x) = 6x^2 - 18x, g(x) = -6x, a = 1, b = 3.

Hence, the area is:

A = \int_{1}^3 |6x^2 - 12x| dx

A = |x^3 - 6x^2|_{x = 1}^{x = 3}

Applying the Fundamental Theorem of Calculus:

A = |3^3 - 54 - 1^3 + 6|

A = 22

The area between the two curves is of 22 square units.

More can be learned about the use of integration to find the area between the two curves at brainly.com/question/20733870

8 0
3 years ago
An asset is purchased for $100,000. What is the value after the first three years using a depreciation rate of 5%? A. $12,500 B.
melisa1 [442]
A=100,000×(1−0.05)^(3)
A=85,737.5
8 0
3 years ago
3×+2×^2-9Evaluate the expression below when x=9
Blizzard [7]

The answer is 180.

Hope that helped!

8 0
4 years ago
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Three numbers are in ratio 2:5:7. <br> The middle number is 75. What are the other two numbers?
Tatiana [17]

Answer:

First number - 30

Second number - 105

Step-by-step explanation:

2/5 of 75 would be 30, so it is the answer.

7/5 of 75 would be 105, so it is the answer.

This is how you would solve this problem.

3 0
3 years ago
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Evaluate the promblem. 3x+6+5x=86
Mashcka [7]

Answer:

10 or x=10

Step-by-step explanation:

First we can combine like-terms.

8x+6=86

Then subtract 6 from both sides

8x=80

Divide by 8

x=10

8 0
3 years ago
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