Q5) Find the integration by using (by part method): S e3X sin X dX

Q: B.Verify if the relation 1. y =xe* is a solution to y"-2y'ty=0 3X 2. y = e?%cos (2x)is a solution to…

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Q: Evaluate the following algebraically. csc? x lim 1 O 1 O -1 8. 8.

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Q: Determine the general solutions of the following differential equations. 1. (2x - xy2 - 2y + 3)dx –…

A: We can solve 1 problem only.

Q: Evaluate the line integral, where C is the given curve. xy ds, C: x = t2, y = 2t, 0sts 3

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Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: Given query is to find series converges or diverges.

Q: Determine how many acres are in 6.7312 x 10" square kilometers. What is your calculated answer most…

A: Given query is to convert square kilometres to acres.

Q: im

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Q: dy

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Q: Find the volume between the cone y = Vx² + z² and the sphere x2 + y² + z² = 25. volume =

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Q: Kelley and Stuart each have a sweet tooth and bought candy at the same store. Kelley spent $2.65 for…

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Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

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Q: 6. What is the general solution of the following differential a²ycdy d²y dx2 dy equation -5 +4y=0)(4…

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Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: Use partial fractions to find the sum Σ (2n- 1)(2n+ 1) n = 1

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Q: Find the radius of convergence, R, of the series. xn + 6 7n! Find the interval, I, of convergence of…

A: For the series ∑an radius of convergence we will follow the following stepslimn→∞an+1an<1  and…

Q: Find the sum by adding each term together. Use the summatlon capabilitles of a graphing utility to…

A: we have to find sum.

Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: Given query is to find the derivative of the expression.

Q: S(e3t + e-3t)2 dt

A: To evaluate the value of given integral.

Q: Consider the function f(x) = 8/a + 1 on the interval [4, 6]. Find the average or mean slope of the…

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Q: Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you…

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Q: 1 over the interval (3, 6] using five approximating Estimate the area under the graph of f(x): x2 +…

A: Solve the following

Q: Step

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Q: Use Disk Method only Find the volume of the solid formed by revolving the region bounded by the…

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Q: g(x) If f(x) then h(x)'

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Q: dx lim dx %3D

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Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: The given differential equation,     dydt=16t7

Q: Select the best answer. (2e + 1)= lim (tan(x))- O DNE O -00

A: We have to find out limit

Q: Find the area bounded by y = x + 4 and y = x² - 2. Answer:

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

A: Area of the region bounded by the curves :      If f(x) and g(x) are two continuous function on a,b…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given:-the region bounded by x=y4,  x=1rotating about the line x=7using washer/disk…

Q: 5. Í sin 2e de 6. ſer cosh x dx

A: We have to integrate and have to check the answer

Q: +, ×

A: Given problem:-

Q: If a rock is dropped from a height of 45 ft, its poistion t seconds after it is dropped until it…

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Q: 7) Convert the coordinate (213,2) to point in' polar Coordinates. polar coordinetes.

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Q: The graph of the function f (2) = 2 arcsin(x – 4) +1, is best pictured by:

A: We will put the x values and get the f(x) values.

Q: Solve the differential equation below using series methods. y'' – xy' – 5y = 0, y(0) = 4, y'(0) = 2…

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Q: 1. Consider the function f(x) =-2(3x– 3)* + 1. a) State transformations. b) Use TWO of the following…

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Q: For x = t3 + 2, y = 3 – t, give an equation in terms of x and y.

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Q: Consider the following equations. f(y) = y(7 – y) g(y) = -y Sketch and shade the region bounded by…

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Q: Three forces are simultaneously acting on an object. The first force is 1200 N downward, the second…

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Q: Find F as a function of x and evaluate It at x = 0, x = 7/6, and x = 1/2. F(x) = sin 0 de %3D F(x) =…

A: We have to find out the integral

Q: 7. (n'-6n +32) (n- 4)

A: Follow next step

Q: Evaluate the definite integral 2x2 + 2

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Q: Use differentlals and the graph of f to approximate the following. (Round your answers to three…

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Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the lin l1…

A: Let's find.

Q: X+3 Q4) Find the integration by using: dx 2x3-8X

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Q: 10) Eind the eçuation of the plane Contaihins the two vectors 2and ,and the point PU2ー)

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Q: x +1 Evaluate the given limit of lim if it exists. 2→-1 x4 – 1 O limit does not exist 4 O -1

A: We have to find the limit

Q: 5) Find cos (20) if tan @) =Ž and e is in quadrant 3.

A: