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4 years ago

Please help!posted picture of question

Mathematics

1 answer:

motikmotik4 years ago

3 0

Answer:
5x⁴ + 5x³

Explanation:
We are given that:
f (x) = 5x³
g (x) = x + 1

Now, (f · g)(x) means that we will simply multiply the two functions as follows:
(f · g)(x) = f (x) · g (x)
(f · g)(x) = 5x³ (x + 1)
(f · g)(x) = 5x⁴ + 5x³

Hope this helps :)

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−5x, [0, 1] Yes, it does not m

Temka [501]

$f(x)=e^{-5x}$ is continuous on [0, 1] and differentiable on (0, 1), so yes, the MVT is satisfied.

By the MVT, there is some $c\in(0,1)$ such that

$f'(c)=\dfrac{f(1)-f(0)}{1-0}$

The derivative is

$f'(x)=-5e^{-5x}$

so we get

$-5e^{-5c}=e^{-5}-1\implies e^{-5c}=\dfrac{1-e^{-5}}5\implies-5c=\ln\dfrac{1-e^{-5}}5$

$\implies\boxed{c=-\dfrac15\ln\dfrac{1-e^{-5}}5}$

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4 years ago

3/4 of the students in a classroom are girls. If there are ten boys in the class, how many total students are there?

Arte-miy333 [17]

Answer:

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Check: Is (1/4)(40) = 10? Yes.

Is (3/4)(40) = 30? Yes

Is 10+30 = 40 (students)? Yes

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3 years ago