7. Make a substitution to express the integrand as a rational function (a quotient of polynomials) and then evaluate the integral using partial fractions. 55¹ tant sec² t tan²t + 3 tant+2 You might need a pratial fraction of the form x+2 x+1 -dt

Q: 25-40 Find the critical numbers of the function. 25. 27. f(x) = x³ + 3x² - 24x + x T5X

A: The given function fx=x3+3x2-24x We have to find the critical numbers of fx.

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A: Question 1,Given,            2x+2y10To find : The coefficient of x5y5 in the given expansion.We know…

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A:

Q: The profit function for a certain commodity is P(x)=120x-x²-1100. Find the level of production that…

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A: We need to choose correct option.

Q: ind the area between y = 12 sin (x) and y = = 12 cos (x) over the interval [0, π] Jse decimal…

A: Point of intersection⇒12sinx=12cosx⇒tanx=1⇒tanx=tanπ4⇒x=π4

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A: Find the relative maximum and minimum values. f(x,y)=x2+y2-10x+10y-7

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A:

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A: Given query is to find the computer usage for first 14 weeks.

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Q: Find the area of the graph enclosed by y=7x and y=4x2

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Q: 3. f(x) 3x - 4 x2 + 1 [-2,2]

A: Given function:- fx=3x-4x2+1

Q: 95. Hours of daylight in Boston. The number H of hours of daylight in Boston t days after the vernal…

A: iven H = 12 + 3 sin2πt365where H = numbers of hours of daylight

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A: Solution:

Q: 6. Use a series to find the limit. x-In(1+x) x² a. lim x-0

A: Not Since you have asked multiple question As per our policy, we will solve the first question for…

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A: To state the sign change of the function at the point C.

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Q: Show that M8 Σ n=1 1 is divergent without using any of the tests you have seen so far. Use the…

A: We need to show sum is divergent.

Q: 4. FIND THE 2ND DERIVATIVE f(x)= (3x²-2)bog (3x²-2); x Solution: x=1

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Q: Evaluate the integral 28 fx³ (26 – 9) ²8 d. - = – 9. by making the substitution u= 26 + C

A: To solve the following problem of Integration

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A: Given: The future value, F = $50000 Interest rate, i = 8% Time, t = 15 years

Q: 1. Determine whether the following series are convergent. If convergent, find the sum. A. B. n=1 1…

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Q: Problem 5. the Ratio Test. (a) M18 πη n! n=1 State whether each of the following series converges or…

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Q: 2. Find the values of r for which the differential equation has a solution of the given form. a.…

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Q: Consider the indefinite integral (25 - 2)5 This can be transformed into a basic integral by lettin…

A: ∫xndx=xn+1n+1+cdxndx=nxn-1

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A: Question 1,Given,            ∫3x3x+2+4x4+2x2dxTo find : Solve using partial fraction.

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A:

Q: Question Determine the second derivative of the parametrically defined curve represented by the…

A: Given query is to find indicated derivative.

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Q: 4. FIND THE 2ND DERIVATIVE f(x)= (3x²-2)log (3x²-2); x

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

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Q: Evaluate the following integrals. 1. 2 xe e²x dx

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Q: P 1/^ (1) J 8.

A: Given query is to find the integral.

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Q: 42. Given that "sin'x dx-, what is sin¹0 do?

A: