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3 years ago

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

Mathematics

1 answer:

kiruha [24]3 years ago

3 0

Answer:

Diverges

Step-by-step explanation:

For the improper integral to converge the limit must exist, if the limit does not exist or is infinite the integral diverges;

$\int\limits^a_b {(2x+4)/x^2+4x+5} \, dx$ #

Where a and be is infinity

The solution of this is infinity and therefore the integral diverges because the first expression is undefined because ∞/∞, the second term is 4·∞ which is infinity and infinity added to any number is infinity

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Can someone help me pls it due In the next two hrs

Lubov Fominskaja [6]

Answer:

1. More magnets are longer than 2 1/2

2. 10 magnets measure in whole numbers and 5 magnets between 2 whole numbers

3. Because the shortest magnet is 1 inch and the longest magnet is 4 inches.

Step-by-step explanation:

1. There are 7 magnets that are longer than 7 1/2 and only 6 magnets that are shorter than 2 1/2. (The 2 magnets that are exactly 2 1/2 are neither longer nor shorter therefore they do not apply to the question.)

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3 years ago

Sheila has 12 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds

NeX [460]

Answer:

6 containers needed

Step-by-step explanation:

Given

$Total = 12\frac{1}{2}\ lb$ ----- Size

$Container = 2\frac{1}{4}\ lb$ ----- Size

Required

Determine the number of containers needed

This question illustrates the knowledge of fraction and division.

To get the number of containers needed, we simply divide the total size by the size of the container as follows;

$Number = Total/Container$

$Number = 12\frac{1}{2}/2\frac{1}{4}$

Convert to improper fractions

$Number = \frac{25}{2}/\frac{9}{4}$

$Number = \frac{25}{2}*\frac{4}{9}$

$Number = \frac{100}{18}$

$Number = 5.5555556$

$Number = 6$ --- Approximated

4 0

3 years ago

What fraction is equal to 5/8

tatuchka [14]

0.625 that’s the answer cause u have to divide the top and the bottom

6 0

4 years ago

Read 2 more answers

) What should be subtracted from -5/3 to get 5/6?

kumpel [21]

Answer:

$-\frac{5}{2}$

Step-by-step explanation:

Step 1: Put this into an equation

$-\frac{5}{3} - x = \frac{5}{6}$

Step 2: Solve for x

$-x = \frac{5}{6} + \frac{5}{3}$

$-x = \frac{5}{2}$

$x =- \frac{5}{2}$

Therefore you need to subtract $-\frac{5}{2}$ from $-\frac{5}{3}$ to get $\frac{5}{6}$

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4 years ago

How to find the derivative of an integral with bounds.

Free_Kalibri [48]

Answer:

The statement of the fundamental theorem of calculus shows the upper limit of the integral as exactly the variable of differentiation. Using the chain rule in combination with the fundamental theorem of calculus we may find derivatives of integrals for which one or the other limit of integration is a function of the variable of differentiation.

Step-by-step explanation:

3 0

3 years ago