1. Solve the nonhomogeneous equation by using the method of variation of pa- rameters. d'y dy + 2y = e cosec dr² dx -2-

Q: The terminal side of an angle 0 in standard position has slope m= -1/2. If 0 is in quadrant IV, find…

A: Result: If the terminal side of an angle θ in standard position has slope tan θ. Pythagorean…

Q: Evaluate the iterated integral 1 y² [¹ [³* (4x + 10y) dady. Y O 11 10 O 11 10 O-1 0 1 O All of the…

A: Answer:- 1> D 2> A   Explanation??

Q: Consider the region S shown in the figure below and take note of the following points of…

A: We use vertical strip to find area of given region.

Q: The system of equations []=[ -1 -2 -5 ³3] [#] is is to be solved using the forward Euler method with…

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Q: A quarter weighs about 6 grams. A dime weighs about 2 grams. What is the difference in weight…

A: It is known that 1 dollar=4 quarters and 1 dollar=10 dimes.

Q: 25. (3x²y + 2xy + y³) + (x² + y²)y' = 0

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Q: Find real constants a and b so that the given function is analytic. f(2)= 9x -y + 2+ i(ax + by - 3)…

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Q: Q: Discuss find following surfaces Traces. the intercepts and 4x₁²² + 44.² + Z² - 16 = 0

A: Given: Equation of surface 4x2+4y2+z2-16=0 To find: The value of intercept and traces.

Q: 10 in. 26 in.- A B 24 in.- The figure shown is made from a piece of thin, homogeneous wire.…

A: Solution :-

Q: (3x² − 2xy + 2) + (6y² − x² + 3)y′ = 0

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Q: Write the convers If you visit your g

A: In this question, the concept of converse and inverse is applied. The converse of the statement p→q…

Q: of the function. 4. Find the Fourier transform of of 1/(1+t²).

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Q: Is PA (QV R) logically equivalent to (P^Q) v (PAR)? O yes no

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Q: Ten international students who include four males and six females are friends. Each of the four male…

A: Given, There are 4 males and 6 females . Each of the four male students wants to invite one of six…

Q: If A is a normed subspace of E, proof that bd(A) is a subspace of X.

A: Please check the answer in the next step

Q: (b) Find the points on the line r(t) = (t, 1+2t, 1-2t) whose distance from the plane 2x - 2y+z=1 is…

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Q: Find the area of the region that bounded by r=1- cos(0)

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Q: Find a Fourier series solution to the boundary value problem: X" + 4X 4t, X(0) = X(1) 0 Find the…

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Q: Find the following Z and Inverse Z transform. 8. Evaluate the inverse z-transform of x(z)= 2z-1…

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Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = -2

A: Solution to the differential equation

Q: Convert the following Linear Programming problem into Standard LPP form.       Minimize P = 5x1 –…

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Q: . Find the inverse of the following matrix by using Gauss-Jordan eliminations 0 1 21 -1 2 3 1122₂₂…

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Q: For the given periodic function f(t)= - coefficient a, can be computed as -0.9119 O -8.1275 -0.5116…

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Q: (a, b, c, or d): . The shaded range on the right can be described using: a. (X>=0 || X=100) Using…

A: Here we will give the solution by looking at the picture only i. e. the shaded area.

Q: Exact Equations. In each of Problems 1 through 12: (a) Determine whether the equation is exact. If…

A: The given differential equation is 2x+3+2y-2y'=0 To find:(a) the given differential equation is…

Q: f(x,y) = (x + y ³) - Sin (x4) (0,0) { 1/₁2 X- 1 (x₁4) = (0,0) is given which of the following…

A: The given problem is to check the existence of the partial derivatives of the given function at…

Q: Find the number in the interval [−1, 1] such that the sum of the number and its square is a maximum.

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Q: Use variation of parameters method to find the following differential equations: (i) y" + 16y = 32…

A: Solution i:  Given differential equation is y''+16y=32sec(2x)           (1) Auxiliary equation of…

Q: 3. With the transformation matrix (A) given by (4.20), explicitly verify that 3 Σaijaik = δjk, i=1…

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Q: * Q9 If y = cos(x + y)dx + (3y² + 2y + cos(x + y)) dy = 0, then M = cos(x + y), N = 3y² + 2y Ttue…

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Q: Solve the differential equation (24xy + 40y²) + (8x² + 40xy)y' = 0 using the integrating factor µ(x,…

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Q: Determine whether the statement is a tautology, self-contradiction, or neither. -PA (94-9)

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Q: 3. Success! You have saved Mr. Henville from the burning tower! Now you must get him safely back to…

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Q: Q1 Determine S if the following integral converges or diverges: 1 dx. (2x-1)³

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Problem 2. Let U = {a+bx+ca²+dr³ € P3 (R): a-b+d=0}, 2(i) Find a finite subset S of P3 (R) such that…

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Q: The general solution of the system of coupled equations =2a+ay, be + cy can be written as D 3 [8] =…

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Q: Maximize: z=5x+y subject to: x-ys3 5x + 3y ≤ 75 x20, y20

A: Given,           Maximise: z=5x+y    subject to:                      x-y≤3…

Q: What parameter is this question asking for? What deposit made at the end of each month will…

A: Given data:  Future value FV =$10000 number of periods n=5*12 =60 Periodic rate of interest r = 4%

Q: 26 24 22 20- 18- 16- 14 12 10 8 6- 4 2 2 Estimate the instantaneous rate of change at x = 2

A: Instantaneous rate of change

Q: Name: Questions 3) 5) 7) 57 Describing Rotations Describe the rotations. Shape A is the original…

A: Given, Shape  A. We have to describe the rotation of shape A to get position of shape B  in same…

Q: Consider the following system. -1 5 X' X -5 9 Find the repeated eigenvalue of the coefficient matrix…

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Q: Find the Inverse Fourier transform of Tre-la.

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Q: the above equal to (.....)16

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Q: Determine if the vector 2 b = 3 5 can be written as a linear combination of the vectors V₁ = 1 and…

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Q: D The general solution of the system of coupled equations =2a+ay, be + cy can be written as 3 [8] =…

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Q: Suppose the row echelon form of a system of equations is x+2y-72 = 4 y-92 = 9 Enter the components…

A: We will use here the free variable t to get the solution of the given row echelon form of a system…

Q: Whenever a system of linear equations has a free variable, the system has infinitely many solutions.…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 1. A mass spring system has a mass of 1kg, a damping constant of 7 Ns/m and a spring constant of 10…

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Q: Solve the initial value problem y"+y=f(t), y(0)= y'(0) = 0, 2t if 0 1

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Q: Find the solution of the differential equation Dy" +1-(y')² = 0 ▷ y(0) = y'(0) = 0 V ▷ y' (co) = 1

A: The given differential equation is                                  y'''+1-y'2=0 where y0=y'0=0 and…