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3 years ago

Find M<1, 32 degrees and 120 degrees

Mathematics

1 answer:

notsponge [240]3 years ago

3 0

Answer: 88

Step-by-step explanation:

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

Nikolay [14]

Answer:

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

General Formulas and Concepts:

Algebra I

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

Calculus

[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:

Step 1: Define

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

Step 2: Find Area

[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

6 0

3 years ago

A reporter collects a random sample of 50 runners from all the runners who finished the Cherry Blossom Ten Mile Run in 2009 and

goldenfox [79]

Answer:

Option D

Step-by-step explanation:

A reporter collects a random sample of 50 runners from all the runners who finished the Cherry Blossom Ten Mile Run in 2009 and constructs a 99% confidence interval for the true mean finish time to be (86.05, 99.38) minutes.

Assuming the reporter performed the calculations correctly, which of the following statements are appropriate interpretations of this confidence interval?

We can expect that 99% of confidence intervals created using the same method the reporter used will contain the true mean run time for runners of this race.

4 0

3 years ago

The total cost C for p pounds of plutonium if each pound costs $3.32

fgiga [73]

Each pound cost $3.32

p pounds would cost = p*3.32 = 3.32p

Total cost C = $3.32p

I hope this explains it.

3 0

3 years ago

What is the difference of the fractions? Use the number line to help find the answer. - T0

dybincka [34]

Answer:

-7/10

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.

musickatia [10]

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

3 0

3 years ago