10. ²x+6 (Partial Fractions) (Ans: 2 In x- - - in |x + 3| - arctan () + C) 3 x + 3x

Q: When the interest on an investment is compounded continuously, the investment grows at a rate that…

A: When the interest on an investment is compounded continuously, the investment grows at a rate that…

Q: 3 Find the velocity and position vectors for the particle whose acceleration is given by a' (t) =…

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Q: ease show work and all steps clearly. Thank you. ind the volume of the solid formed by rotating the…

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Q: 1. If i = [2,-4, −1] and v = [1, −2, 4] find: a) 30-u c) Find G, where F(2, −3, 4) and FG = 3v b)…

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Q: Find the general solution of the given second-order differential equation. y" + 36y = 0 y(x) =

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Q: ∞ k=1 2e-4k

A: The given series is .We have to determine whether the series is converge or diverge.

Q: Find the area of the region cut from the plane 9x + 2y + 6z = 3 by the cylinder whose walls are x =…

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Q: The value of a timber forest after t years is V(t) = 490√t - 35t (for 0 ≤ t ≤ 50). Find when its…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: 4. Use implicit differentiation to find the equation of the tangent line to z²+zy + y² = 3 at the…

A: The slope of the tangent line to the given curve is equal to the derivative of the given function at…

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: Change the order of integration. 16 4 [." [√x The answer should be in the form f (x) f(x, y) dy dx,…

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Q: If f(x,y,z)= xyz and (x, y) changes from (2, 3,1) to (2.1, 3.1, 0.9),..... compare the values of dz…

A: To find:-

Q: S x² sin 2x dx (Integration by Parts) (Ans:-xcos2x + xsin2x + cos2x + C)

A: we have given integration

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: O Find the to Nowings trignometric integrations dx (sin23 Scos x S

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 4. The diagram is a rectangular prism. Let ủ = AB, v = AD and w = AE. Express each vector as a…

A: Given ,  and

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Find an equation of the tangent plane to the given surface at the specified point.. z=x²y-y,…

A: To find an equation of the tangent plane to the given surface at the given point.,

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim 1+- X→∞…

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Q: Use the derivative f' to determine the local minima and maxima of f and the intervals of increase…

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: The linear approximation of a function  at  is .

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y =: =…

A: Given the function z,x and y.

Q: Solve the given initial-value problem. y(x) = y" + 4y' + 5y = 35e-4x, y(0) = −6, y'(0) = 1

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Q: 49. 1/2 cos(x-²) X3 - dx

A: The given integral is 49) cos(x-2)/x3, limit from 1/2 to 1.According to bartleby guidelines we solve…

Q: Find the area of the shaded region below. Area = (-3, 3)- YA x=y² - 4y x=2y-y² X

A: To find the area of the shaded region below.

Q: Write the given linear system in matrix form. Assume X = X' = dx dt dy dt = 3x - 7y = 4x + 2y X +

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Q: Let f(x) = 3x²-2 and let g(x) = 5x + 1. Find (f+g)(3). (f+g)(3) = (Simplify your answer.)

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Q: Solve it on paper!

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Q: For the function graphed below, complete the following. (Enter your answers using interval…

A: we have given the graph of the function.

Q: O O O 4π- 4 4π+4 4+ 3π Find the area between y = 1 and y = 2cosx + 5 for 0 ≤ x ≤ T

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Q: (3) Find 5 the followings interation by Fraction partial [x²+x+3 dx x²4++ 6x² +9 (b) s X+2…

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Q: Use the given transformation to evaluate the integral. J 9xy dA, where R is the region in the first…

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Q: Solve the given differential equation by undetermined coefficients. y" - 3y" + 3y' - y =x - 5ex y(x)…

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Q: Each iterated integral is an integral over a region D. Match the integral with the correct region of…

A: The given iterated integral are:-

Q: Problems: 1. Find the derivative of each function. Show your work by splitting the function into…

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Q: Explain how the graph of Y = COS X can help you sketch the graph of y = sec x in the interval 0 ≤ x…

A: The solution is shown in step-2

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Of all rectangles with a perimeter of 12, which one has the maximum area? (Give the dimensions.) The…

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Q: Find the critical points of f. Assume a is a constant. 1 13 12 = -√3x¹3 - a¹²x 13 f(x):

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: Find (6x²–5x+4) dx. Use C for the constant. (a) What is f'(x)? (b) Find f(x), then write out the…

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Q: Sandra is a 25-year-old woman who weighs 120 lb. She burns 300 - 50t cal/hr while walking on her…

A: Given calories burn (300-50t) calories per hr.Calories intake 80t in t hr.

Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

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Q: For the function, f(x) = -2x+5, complete parts a through c. a) f(x + h) = b) f(x+h)-f(x)=…

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Q: Find the exact area of the region between y = 3x² + 12and y = 4x + 4 over [- 3, 3]. Show all work.

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Q: Write a double integral that represents the surface area of z = f(x, y) that lies above the region…

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Q: (c) S (tanx) dx

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