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Schach [20]
2 years ago
11

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

Mathematics
1 answer:
yuradex [85]2 years ago
6 0

Answer:

Converges to 0

Step-by-step explanation:

Given is an improper integral  where a= -infinity, b = infinity and

ff(x) = \frac{x}{x^2+1}

\int\limits^a_b {f(x)} \, dx

This resembles the above integral where a = -b

f(x) let us check whether odd or even or neither

f(-x) = \frac{-x}{x^2+1}=-f(x)

Since f(x) is odd function and integral is of the form -a to a by properties of integrals, this value is 0

Hence answer is 0

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Answer:

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Step-by-step explanation:

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3 years ago
The ratio of the number of boys to the number of girls in a school is 5:7.If there are 600 students in the school,how many girls
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The secret to solving problems with ratios is to find the value of one unit.

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To find one unit, divide the total number of students by the total number of units.
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I hope this helps you



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3 years ago
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Answer:

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Step-by-step explanation:

In this question, we are asked to determine what type of triangle will be formed given the length of the pieces which was used to form the triangle.

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According to the values in the question, we can see that the lengths of the pieces given are different. Now what does this mean for the triangle formed?

The type of triangle formed here would be a scalene triangle. A scalene triangle is a type of triangle in which all of its 3 sides have different lengths. Consequentially, the angles formed by these three sides also are different.

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