m'+4m (1-m*)7

Q: y" + 4y= cos'x

A: Given: y"+4y=cos2x

Q: Find the solution of the given differential equation

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Q: b.

A: answer is in next step

Q: Find the arc length parameter along the given curve from the point where t= 0 by evaluating the…

A: answer is in next step

Q: ley'z ds, Cis the line segment from (3, 1, 2) to (1, 2, 5)

A: Given ∫c y2z ds Where c is the line segment from (3,1,2) to (1,2,5) Parameterize the line  r(t) =…

Q: In each part, evaluate the integral, given that SIx - 61, x 2 0 f(x) : x + 6, x < 0 ' %3D

A: The solution is given in the next steps.

Q: Plot the point that has the given polar coordinates.  2,  3π 4

A: We have to show the given point on the graph.

Q: Suppose z is a function of x and y, and tan Vy? +x² = ze6y. Solve for and dx ду

A: Here, given that z is a function of x and y and tan y2+x2=zxe6y⇒tan y2+x2=ex ln ze6y...(1)

Q: Σ Suppose the Maclaurin series f(x) is f(x) =£ n=0 Find the Maclaurin series for the following.…

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Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

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Q: y" + y= tanx

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Q: 4) lim (5x-1 + 1)4x x00

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Q: Solve the equation on the interval 0s0< 2n. 8 cos 20 = 4 What are the solutions in the interval 0s0<…

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

A: Solved below.

Q: Find and classify all critical points of the function defined by h(x,y)=x^3−3x+3xy^2.

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Q: Evaluate the integral using integration by parts. Do not use any other method. You must show your…

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Q: - If f(r) = e² is a solution of xy" – (r + 1)/ + y = 0. Then, the general so (A) y = c1e² + c2e=z…

A: Answer is in next step     option  E is correct.

Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, 1)…

A: Concept: Concavity: If the line connecting two points is above the graph, or if the first derivative…

Q: Evaluate the double integral over the given region. 9x sin xy dA, R: OSXST, Osy<1 R

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Q: h(x) = (2x2 - 5x)2 / √3x-2 1. Explain how the function you chose can be rewritten in such a way…

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Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (22, 324, 13.54)…

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Q: Use the transformation u = 4x + 3y, v = x + 3y to evaluate the given integral for the 4 4 region R…

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Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

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Q: cos (20)= 2

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Q: S Зх-7 dx 10х2+3x+11

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Q: 2 | (csc 0)(1 + sin? 0 + sin 0 cot? 0) do

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Q: 1. Find the lim f(x), value of f(-1). Is the function continuous everywhere? If not, where is it…

A: The objective is to solve the above question.

Q: dr

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Q: 3) lim-) 1 х-1 \x-1 In x)

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Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation x –…

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Q: Evaluate: 1) [x.e*c

A: We will solve the integration using integration by parts.

Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to…

A: answer is in next step

Q: Ryan is puréeing different fruits and freezing the purées in ice cube trays. He knows that the…

A: Volume of each frozen cube = 1.5 cubic inches. We have to find the volume of the kiwi fruit and then…

Q: Integrate sze" • fa". de Answer:

A: We have to find the integral

Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: 6. ( alv.y s. Match each of the following formulas with the given graphs. Justify your answers as…

A: We have to match functions with the graph

Q: n3 + n? ) Σ 00 (n – 1)! n=1 2n + 3 n2 In n n=1

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: evn+2 2+3 n=1

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Find all the second order partial derivatives of the given function. ​f(x,y)=xy2 + yex^2+5

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Q: (D² – 2D – 3)y = 64xe³*

A: The given differential equation is:D2-2D-3y=64xe3xWe will solve this by method of undetermined…

Q: x=t² +3t +5 Determine the arc – length of the curve: y = (2t- +2

A: solution:-given curve x=t2+3t+5y=232t+43/2+2dxdt=2t+3dydt=22t+4

Q: What is the exact area bounded by the curve f (x) = = and the x-axis on the interval [1, 8]? Write…

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Q: Sunecose - Sune=0

A: The objective of the question is solve the given equation.

Q: Convert the angle to a decimal in degrees. 78°24'17" 78°24'17" =° (Do not round until the final…

A: We have to convert an angle of 78°24'17" in degrees.    Before converting, let us see first two…

Q: 1. Using double integrals find moment of inertia about the x-axis of the area enclosed by the lines…

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Q: _1. What is the integral that describes the enclosed region between y = 4x- x and the x- axis ? A.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Set A: Problem # 6 Fnd the eaquation of the line tangent to FG) = cos?x- sin*G) sin ) at

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Q: aw aw aw I. Find дх and and (whenever possible) for the following functions. ду dz 1) w = 5x*y –…

A: Since, you have posted multiple questions. As per guidelines we"ll solve only first part. If you…