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3 years ago

8

Find the value of x.

1 answer:

vichka [17]3 years ago

8 0

Answer:

free points

Step-by-step explanation:

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Determine the area of the given region under the curve <br> (1/x^4) [1,2]

Nikolay [14]

Answer:

$\displaystyle \frac{7}{24}$

General Formulas and Concepts:

<u>Algebra I</u>

Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

<u>Calculus</u>

[Area] Limits of Riemann's Sums - Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2]$ <u />

<u />

<u>Step 2: Find Area</u>

[Integral] Set up area: $\displaystyle \int\limits^2_1 {\frac{1}{x^4}} \, dx$
[Integral] Rewrite: $\displaystyle \int\limits^2_1 {x^{-4}} \, dx$
[Integral] Reverse Power Rule: $\displaystyle \frac{-1}{3x^3} \bigg| \limits^2_1$
[Area] Fundamental Theorem of Calculus: $\displaystyle \frac{7}{24}$

Topic: Calculus

Unit: Basic Integration/Riemann Sums

Book: College Calculus 10e

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3 years ago

How do you write 19% as a fraction in simplest form?

zmey [24]

19% is 19/100 and there is nothing that can go into these numbers evenly so this is the simplest form

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4 years ago

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Ratio in simplest form 8 pounds to 10 pounds

FinnZ [79.3K]

Answer:

4:5

Step-by-step explanation:

You can divide two to each number.

8 divided by 2 equals 4.

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Step-by-step explanation:

The number next to the parenthesis means that you multiply everything inside the parentheses by that number.

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3 years ago

Which graph has a coefficient correlation r closeest to -0.95

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