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Fynjy0 [20]
3 years ago
7

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

The integral diverges

Step-by-step explanation:

Consider the integral from 0 to infinity of

xe^{4x}

We can do this in parts

\int {xe^{4x} } \, dx =\int {x} \, d(e^{4x})/4\\ = x/4 e^{4x}-e^{4x}/16

When we substitute limits infinity we find that the values become infinity

Hence the integral diverges

The given improper integral diverges

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djverab [1.8K]

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yes

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3 years ago
If Jay had 5 cards and Jill had 10 cards. What is the product?
cupoosta [38]
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3 years ago
Solve the compound inequality,
Feliz [49]

Answer:

\large\boxed{y\in(-6,\ \infty)}

Step-by-step explanation:

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(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4

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7 0
3 years ago
A polynomial function has roots –5 and 1. Which of the following could represent this function? f(x) = (x + 5)(x + 1) f(x) = (x
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here roots are x = - 5 and x = 1 hence factors are (x + 5) and (x - 1)

the polynomial is the product of the factors

f(x) = (x + 5)(x - 1)


3 0
3 years ago
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