uate the integral. 9. (x2 + 2x – 5) dx 4.

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Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) Choose the Maclaurin series. 6"x" In…

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Q: 4 + 9x is x2 The antiderivative of the function f(x) %3D

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(s) :…

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Q: Paramount Electronics has an annual profit given by P = -100,000 + 5,000q – 0.25q? dollars, where q…

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Q: The value C for the solution of the initial value problem f'(x) = x³ – 7x + 3, given that f(0) = 0.

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Q: x sec (3x) tan (3x)dx

A: ∫ xsec3xtan3xdx

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Q: 24. Find the area of the triangle having vertices at (4, 5, 6), (4. 4, 5), and (3, 5, 5).

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Q: Write the partial fraction decomposition of the improper rational expression. x4 + 2x3 + 8x² + 13x +…

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Q: 2 x²e¬2® dx. Compute

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Q: Example: A pilot is flying over a straight highway. He determines the angles of depression to two…

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Q: Exercise 4: Marilou and Karen are biking in their subdivision. From the center of the clubhouse,…

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Q: Find the degree 3 Taylor polynomial T3 (x) of function f(x) = (-7x + 46)³/2 %3D at a = 6. T3(x) =

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Q: 2) Vy + 2x = (e – 1)3

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Q: 1. Write z = 2/2 +2/2i in polar form. Oz = 42 cos +isin 4 Oz = 4 cos-+isin 57 Oz = 4 cos +i sin 4 4…

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Q: Use a plane transformation to evaluate ∫∫R x dA, where R is the region enclosed by x − 2y = 3, x −…

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Q: S 3n? + 2n + 1 n2p-1 + 137 n=1

A: The given series is: ∑n=1∞3n2+2n+1n2p-1+137 Let, an=3n2+2n+1n2p-1+137, bn=n2n2p-1=1n2p-3; n≥1

Q: For the following population model (in billions):…

A: As we can see these three are different questions and do not depend on each other. According to the…

Q: 4x + 1 x + 5x a. lim 8x - x - 6 x ( 3x - 4) b. lim Зх + 9 3x 4x - 7 lim С.

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 4· 10…

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Q: 1. Use cylindrical coordinatcs Find the Volume of the solld that ies within both the cylinder…

A: To find the volume. Using cylindrical coordinate.

Q: 10. Find the average value of the function f (x) 1 = -x + Vx on the interval xe[0,8]. Graph on…

A: The average value of the function is given by;favg =1b-a ∫abf(x) dxTo plot the average function…

Q: Suppose we know that the power series )an(x - 8)" converges for x = 4. What other values of x n=1…

A: we will use ratio test to check convergence of power series.

Q: A table of values for f, g, f', and g' is given. f(x) g(x) f '(x) g'(x) 3 4 6 2 8 5 7 3 7 2 7 9. (a)…

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Q: 8. Which of the following is the solution to the equation sin? x + 3sin x - 4 = 0 0° 90° + 360k 90°…

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Q: te a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) = 25…

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Q: 4. Evaluate y = sin¬1 (x) when x = 1 %3D O 37 2 -1

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

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Q: Example: A pilot is flying over a straight highway. He determines the angles of depression to two…

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Q: The value C for the solution of the initial value problem f'(x) = r - 7r + 3, given that f(0) = 0.…

A: We have to find value of c