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Mathematics

1 answer:

Naddik [55]3 years ago

3 0

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

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Need help question #3. Show steps please

Oksana_A [137]

Answer:

Step-by-step explanation:

We are given:

$\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx$

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

$\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx$

Distribute. Recall exponent properties;

$\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx$

Simplify:

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This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

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2 years ago

Whats 2 plus 2? Whats 10 plus 10? And whats 8 plus 8?

Ivenika [448]

$\bold{THE \: ADDITION}$

or addition is the mathematical operation of composition that consists of combining or adding two or more numbers to obtain a final or total quantity. The addition also illustrates the process of joining two collections of objects in order to obtain a single collection

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