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OLga [1]
3 years ago
10

Write and solve an equation to

Mathematics
2 answers:
Leno4ka [110]3 years ago
8 0

Answer:

a. 13; Equation = 2N - 7 = 19

b. 2; 8 - 3N = 2

Step-by-step explanation:

a. 2N - 7 = 19

  - 2N - 7 + 7 = 19 + 7

  <u>- 2N</u> = <u>26</u> = 13

     2       2

b. 8 - 3N = 2

 8 - 8 - 3N = 2 - 8

 <u>- 3N</u> = <u>-6</u> = 2

    -3      -3

Harman [31]3 years ago
3 0

Answer:

who knows what is going on with you

Step-by-step explanation:

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Find the length of the following curve. If you have a​ grapher, you may want to graph the curve to see what it looks like.
stepladder [879]

The length of the curve y = \frac{1}{27}(9x^2 + 6)^\frac 32 from x = 3 to x = 6 is 192 units

<h3>How to determine the length of the curve?</h3>

The curve is given as:

y = \frac{1}{27}(9x^2 + 6)^\frac 32 from x = 3 to x = 6

Start by differentiating the curve function

y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x

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The length of the curve is calculated using:

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L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx

Expand

L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx

This gives

L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx

Express as a perfect square

L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx

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L = x^3 + x|\limits^6_3

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

Read more about curve lengths at:

brainly.com/question/14015568

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Step-by-step explanation:

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Step-by-step explanation:

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