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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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Svet_ta [14]

f(n+1)=f(n)-8\\\\ f(2)=100-8=92\\ f(3)=92-8=84\\ f(4)=84-8=76\\ f(5)=76-8=68\\ f(6)=68-8=60

8 0
3 years ago
A $50 item is discounted 30%. How much is the discount?​
DaniilM [7]

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$15

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Step-by-step explanation:

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3 years ago
Please help.
kondor19780726 [428]

Answer :

27.5 minutes

Steps:

1) put into fraction form:

160/20 = 220/x

2) simplify:

160/20 = 8/1

3) cross multiply:

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4) divide on both sides:

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6 0
3 years ago
The lengths of the sides of a triangle are 4,5 and 6 if the length of the longest side of a similar triangle is 15,what is the l
prisoha [69]

Answer:

The length of the shortest side of the triangle is 10.

Step-by-step explanation:

Given that the lengths of the sides of a triangle are 4, 5 and 6, if the length of the longest side of a similar triangle is 15, to determine what is the length of the shortest side of the triangle, the following calculation must be performed :

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10 = X

Therefore, the length of the shortest side of the triangle is 10.

8 0
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