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2 years ago

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[Please Help ASAP!]

1 answer:

viva [34]2 years ago

4 0

<h2>Answer:</h2>

Part A

<u>The area is 20x5+16x4−26x3+22x2+32x−24 sqaure units</u>

Part B

<u>Yes the answer is polynomial</u>

Part C

<u>The degree is 5</u>

<h2>Step-by-step explanation:</h2><h3>Part A</h3>

The solution is given in the attached figure

<h3>Part B</h3>

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. So the answer is a polynomial in our case.

<h3>Part C</h3>

The degree of a polynomial is the highest degree of its individual terms with non-zero coefficients. The degree of an expression is the sum of the exponents of the variables that appear in the polynomial, and thus is a non-negative integer. In our case the degree of the polynomial is 5.

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Step-by-step explanation:

Given

$\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx$

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as

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so

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$\mathrm{Substitute\:back}\:u=x-1$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)$

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$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

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$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

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