Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x %3|

Q: n!(n+1): (2n+1)! n=0

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Q: -2 2 dy 7e" + 5. -5

A: Given :∫-5-27ey+2ydy

Q: 3 – z = y +1 = 2.

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Q: s of the ellipse O is

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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: A candy company makes two types of chocolate bars: milk and dark. The milk requires 9 minutes in a…

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Q: Зп? — п+3 ? +1 2n EM

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Q: Solve the given initial-value problem y' + (tan.x)y = cos²x, y(0) = -1

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Q: '9 — х? dx x2

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Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: vertical asymptote z=0 S'(z) > 0 for z -3, (z # 0) f"(z) 0 for z > 0

A: Let's find.

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

A: Given:-the region bounded by y=sinx, x=0 and y=1revolving about y=1using washer/disk…

Q: Determine dydx of function g 1 g(x, y) = cos (Tx ) + log3 (x – y)

A: We will use simple differentiation rules to solve this question.

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A: Given : f(x) = x⁴ - 4x²    -----(i) We have to find point of inflection and the concavity of the…

Q: 3e" da V4-e2a

A: We have to find out the integral

Q: 4-P(1+) che model A=Pe or A=P|1+- ] ,where A is the future value of P dollars invested at nuously or…

A: we have to find the interest rate

Q: Find the arclength of r = (1+sin(2θ))^(1/2) for 0 <= θ <= π

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Q: Question 1 (a) Given the function h(x) = sin|x/3|. (i) Sketch the graph of the function. (ii)…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: relative maximum (x, y)

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Q: 1-x2 So Si S dz dy dx 0. 0.

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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: Find the derivative. Write the final answer without negative or fractional exponents. a. f(x)=…

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Q: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

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Q: DEFINITION

A: We will find the Laplaces Transform.

Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: for disperesed of data we have to find median for weight 59 65 65 67 69 here odd number of…

Q: Find the area of the region which is inside the circle r = 2 and outside the cardioid r = 2(1-cos+).…

A: Given

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: Solve the system. If the system has one unique solution, write the solution set. Otherwise, deter…

A: The objectives to find the solution of the system.

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (- 3, 4, 3), Q = (6, 6,…

A: .

Q: Acos'e -3=-4cos0

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Q: By considering different paths of approach, show that the function below has no limit as (x,y) ->…

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Q: (-) Suppose the following expression gives us how much a certain investment accou worths after some…

A: Topic-:- compund interest

Q: (t – 1)* 24 24 12 1 24 24 12 1 83 83 Option 1 Option 2 24 – 24s – 12s² + 4s³ + sª 24 – 24s + 12s² –…

A: The given function is: ft=t-14   Use the Laplace transform identity. Ltn=n!sn+1

Q: e2" (18 + 5t – 2) 6 + 5(s – 2)² – 2(s – 2)³ (8 – 2)ª 2 - (8 – 2)* (s – 2)² Option 2 Option 3 6 (s +…

A:

Q: Define f : R2 → R by f(x) = -9 x2 + 10 æy – 6 y² + 100 x – 62 y – 20. 1. Obtain Vf and give each…

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Q: dx x3+27 8. Evaluate

A: We have to find the integral

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

A: Given  Marginal cost = $2.50

Q: 2x e dx 4е2х —8е" +5 -

A: The integration of the integral is  e2x/(4e2x-8ex+5).

Q: Triangle BAC is a 30°°-60°°-90°° right triangle. В 600 300 A C If BC = 15, what is the measure of…

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Q: 1. f(x) = V3x +2 2. f(x) = 2х-3. 4 %3D 5x+1

A: We know quotient rule of differentiation as follows  ddx{f(x)g(x)} = g(x) f'(x) - f(x) g'(x){ g(x)}2…

Q: 1. Find the equation of the plane containing the lines L1 and L2 given below: z = 4t + 3 z = -4s – 1…

A: Given :L1:  x=2t+1, y=3t+2, z=4t+3L2 : x=s+2, y=2s+4, z=-4s-1

Q: (x, y) = (1, –1) { 1 Show that the function f defined by f(x, y) x2 + y (x, y) # (1, –1) x + y is…

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Q: Find the producers' surplus at a price level of p= $57 for the price-supply equation below. p= S(x)…

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Q: Describe all absolute extreme points of P. Select the correct choice below and, if necessary, fill…

A: Let's find.

Q: 1. 3p² tan¯p dp

A:

Q: 4. Find the directional derivative of f (x, y, z) = e* cos(yz) the point (1,-2.0) in the direction…

A: I have authority to answer only one question, so  I am posting answer for 1 st question

Q: sinocose-3 Sune =0

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Q: Let f: R2 → R. At some point, a , we have that f(a) = 5 and that Vf(a) : What is the equation of the…

A: answer is in next step

Q: 3 - 6t +1 x =ť° +• ;teRat t= 4 y=t° - 3t² – 9t –1

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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.