When the degree of a polynomial ƒ(x) is less than the degree of a polynomial g(x), how do you write ƒ(x)/g(x) as a sum of partial fractions if g(x) What do you do if the degree of ƒ is not less than the degree of g?

Q: How to solve using partial fractions

A: To find: -Solve the given integral using partial fractions.

Q: 2. Write out the form of partial fraction decomposition and then evaluate the integral [Apply the…

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Q: When the degree of a polynomial ƒ(x) is less than the degree of apolynomial g(x), how do you write…

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Q: 4x+10 J (x-2)(x²-2x+1)

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Q: 3x2 + 8x - 12 x3 + 7x2 + 12x

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200,…

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Q: Find the critical points of the functionf (x) = 4x³ – 48x+2. а. 2,3 b. -3,3 C. -2,2 d. -2,-1

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Q: Use partial fractions to evaluat ∫dx/x(x2 + 1)2

A: Given, The integral is,               Differentiate both the sides with respect to x,

Q: The total costs for a company are given by C(x) = 2700 + 90x + x2 and the total revenues are given…

A: The Break-even point occurs when total cost equals total revenue. So, we have to solve C(x)=R(x)

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

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Q: x2 +x+1 dx 2x2 +2+x³+x

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Q: * Use Partial Fraction method to evaluate "y4 + y² - 1 dy y3 + y

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Q: If the profit function for a firm is given by P(x) = −1600 + 170x − x2 and limitations on space…

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Q: A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue…

A: Given ,Revenue from x1 units of running shoes and                           x2 units of basketball…

Q: 4. 2 dp- 2 x -1

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Q: Expand the quotients by partial fractions. x + 4/(x + 1)2

A: Given expression is x+4(x+1)2 We will expand the quotients by partial fraction as follows.…

Q: Expand by partial fractions. x2 + 3x – 4

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Q: 10x dæ x4 + 4x2 + 3

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Q: Example 10. Find maximum profit. If R = 30x – x² and C = 20 + 4x. %3D %3D

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Q: 5y h7x+15 X-3x-7

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Q: Giventheprice-demandfunction p(x)=−2x+75, and Total cost function C (x) = 4x +165 . Find the…

A: Given: Price-demand function p(x)=−2x+75, and Total cost function C (x) = 4x +165. Let us plot the…

Q: x2+x+1 2x2+2+x3+x

A: Solution: ∫x2+x+12x2+2+x3+xdx factor the denominator ∫x2+x+1x+2x2+1dx

Q: Maximize Z = 2x1 + x2; Subject to x2 ≤ 10 2x1 + 5x2 ≤ 60 x1 + x2 ≤ 18 3x1 + x2 ≤ 44 and x1 ≥ 0, x2 ≥…

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Q: Partial Fractions) x+4 dx x2 +x

A: In the question we have to find integral using partial fraction.

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

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Q: x3 – 2x2 + 1 (x2 – 2x + 5)2 ax

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Q: Expand the quotient by partial fractions. X +2 (x + 1)2 X +2 (x + 1)2 (Simplify your answer. Use…

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Q: A firm can produce 500 units per week. If its total cost function is  C = 500 + 1200x  dollars and…

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Q: When the degree of a polynomial ƒ(x) is less than the degree of apolynomial g(x), how do you write…

A: Suppose g(x) is product of distinct linear factors, say

Q: Explain one application of partial equations in detail

A: According to the given information, it is required to explain the application of partial equation.…

Q: Expand the quotients by partial fractions. 2x + 2/x2 - 2x + 1

A: Given fraction is 2x+2x2-2x+1. 2x+2x2-2x+1=2x+1x-122x+1x-12=Ax-1+Bx-122(x+1)=Ax-1+B     ......(1)

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: If the profit function for a firm is given by P(x) = −5700 + 220x − x2 and limitations on space…

A: NOTE: Refresh your page if you can't see any equations. . to find the break-even, take P=0

Q: Maximize Z = 2x1 + x2 – 2x3 - Subject to -2xı + x2 + x3 2 -2 - x1 + x2 - x3 2 –4 X1 +x2 + 2x356…

A: Given: Maximize Z=2x1+x2-2x3 Subject to constraints -2x1+x2+x3≥-2        ......(A) -x1+x2-x3≥-4…

Q: A small generator burns two types of fuel–low sulfur and high sulfur-to produce electricity. For one…

A: Here we find the minimize cost.

Q: SOLVE FOR THE UNKNOWN USING GAUSS-JORDAN REDUCTION METHOD: X1+ 2X2 – 1 = -X3 3X1 + 3X2 + X3 = 2 -3 +…

A: The system of  equations can be written asX1+2X2+X3=13X1+3X2+X3=2X1+2X2-X3=3Matrix form…

Q: 25x (r + 2) (x – 3)² 1. Write out the partial fraction decomposition for please write out solution…

A: It is given that, Above function can be written in partial fraction is,

Q: 4x3-x dx x²-x-30

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Q: x²- 11x +G dx )(x+2) (x²-4x +4)

A: To find: Integration by partial fraction ∫x2-11x+6x+2x2-4x+4dx. Formula used: ∫1x+adx=lnx+a Power…

Q: 3. Find the maximum/minimum value of y = 2x² + 7x - 10 and where it occurs using partial factoring.

A: Given function is y=2x2+7x-10 we can write it as y=x(2x+7)-10

Q: If R(x) =400x-0.25X^2 and C (x) = 150x + 0.25x^2 +8500 are the total revenue and total cost (both in…

A: Solution:-  R(x)=400x-0.25x2C(x)=150x+0.25x2+8500

Q: Expand the quotients by partial fractions. z/z3 - z2 - 6z

A: Given, zz3-z2-6z

Q: Find the solution of the following partial diffrential equations by variable separable method.

A: Separation of variables

Q: If the profit function for a firm is given by  P(x) = −3800 + 210x − x2  and limitations on space…

A: According to the question,  Profit function for a firm is given by equation: P(x) = −3800 + 210x −…

Q: The partial fractions of these two equations and the work.  Thanks

A: Hello there! We’ll answer the first question since the exact one was not specified. Please submit a…

Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum…

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Q: Suppose x and y are positive integers such that the sum of x^2 and y is 10x. Find the values of x…

A: Given x^2+y=10x.From there find y.

Q: When the degree of a polynomial ƒ(x) is less than the degree of apolynomial g(x), how do you write…

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