Variation of parameters: Solve the DE y " +y = sec x O y = c₁ cos x + c₂ sin x + Incos x cos x + x sinx + cos x + sin x O y = c₁ cos x + c₂ sin x + Incos x + cos x sin x O y = C₁ cos x + c₂ sin x + Incos x O y = C₁ cos x + c₂ sin x + Incos x + sinx

Q: ƒ(s) = 4s - 18 9-s² What function f(t) has Laplace transform: 5s (s - 2)² +

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Q: Solve the following linear programming problem.   ​Maximize: z= 39x+10y subject​ to: 8x+6y ≤48…

A: Given that, Maximize: z= 39x+10y subject​ to: 8x+6y ≤48   13x+y ≤48…

Q: 73. an = (2n + 2)! (2n-1)!

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Q: 1 3x (2x + = + ₁). x+1 Find k'(x) if k(x) = 3x (2x + Provide your answer below: k'(x) =

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Q: car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A: Given initial velocity (u)=45 ft/secFinal velocity, as brakes are applied (V)=0Acceleration=-7…

Q: 11. Integral sin³ R cos R dR

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Q: 1. (a) Write the following set of equations in matrix form. 8=6X3+ 2X2 2-X₁=X3 5X₂+2X₁ = 13 (b)…

A: Here we have to write the equations in matrix form and then we have to do matrix multiplication.

Q: prove the following properties of the laplace transform, knowing that L{f(t)} = f(s)

A: Prooof of the above properties of laplace is given by

Q: *²+√** dx x2

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

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Q: Solve the system of equations by any method. -3x+6y= 27 x - 2y = -9 Enter the exact answer as an…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: We will use calculus of two variables to find the required information about the function.

Q: 4. Solve the following DE using a suitable type of transformation. y' = x + y (let v = x + y) O y =…

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Q: = A region bounded by f(x) 9 8 Find the volume of the solid formed by revolving the region about the…

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: here we have to find probability of given  total ticket = 19  we have to find two ticket both are…

Q: Find the area of the region bounded by a = y³ - 4y2 + 3y and the x = y²-y. 77 square units 12 (b) A=…

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Q: B: Solve the following integrations: fx³e-2x¹ dx b-S. -dx x³ +10 c-f 3sec³x. tanx dx arks

A: a) ∫x3e-2x4dx Let x4=t Then, 4x3dx=dtOr, x3dx=dt4 By substitution,…

Q: 2) By using Lagrange multiplier method, find the maximum value of f(x, y, z)=x+ z subject to the…

A: Given function:-     f(x, y, z) = x + z subject to condition x2 + y2 + z2 = 10

Q: CHECKPOINT 1.13 Find the average value of f(x) = 6 - 2x over the interval [0, 3] .

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) y = 5 -4 -3 2 -- 1 4…

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Q: The first left-endpoint of any partition of an interval [a, b] is

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Q: Find the equation of the tangent to the curve at the point where x = 1. f(x) = √x 2√x+1

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Q: ror(4)). 95. Find the restrictions in the domain, if any, for If there is more than one restriction,…

A: Note: The first question that is question 90 seems incomplete. So, solving 95 for you.

Q: CHECKPOINT 1.24 Integrate the function [²₂x³dx.

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Q: If u = 4j - 2k and v = 27 − j + 7k, find ū. v. Select one: √110 O -18 O √18 O 18

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Q: Complete two iterations of Newton's Method for the function using the given initial guess. (Round…

A: Given :f(x)=cosxx1=1.6

Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fraction…

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Q: Maximizing the Volume of a Box An open-top box is to be made from a 30 in. by 40 in. piece of…

A: Let's solve given maximizing volume of a box problem.

Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm…

A: Our Aim is to find the amount of paint required to coat thickness of 0.04 cmby considering a…

Q: The right-endpoint approximation of the area under the curve of f(x) = x² over the interval [0, 2]…

A: fx=x2 over the interval 0,2 for n=4

Q: 3. Evaluate the definite integral (a) (b) (c) (d) 256 15 15 256 Cr 62 f(x+ (x+2)√x+1 dx.

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Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

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Q: Find the derivative of the following function. 8x e y= In 4x y'=

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Q: 2. Evaluate the definite integral|z- 3| dr. (a) (b) (c) (d) 25 2 25 2 29 29

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Q: Solve the initial value problem y" - 2y' — 35y = 0, y(0) = a, y'(0) = −10. Find a so that the…

A: Here we have to solve the differential equation.

Q: Find the z - transform of IN k

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Q: [sin x √9+ cos² rdr

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Q: Let f(x, y, z) = x arctan z. Then solution.] af Əzəy (2,3,1)= a In 2 where a = [Show

A: Find the value of a

Q: A region bounded by f(x) 8 7 6 Find the volume of the solid formed by revolving the region about the…

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Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 0. f(x)=x² - 4x…

A: Given :f(x)=x4-4x-3+3

Q: Write the partial fraction decomposition of Do not determine the numerical of the coefficients. x2…

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Q: Evaluate the following antiderivatives. f (x sinh x + 1) dx

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Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

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Q: A region bounded by f(x) = 5 — x, y = 0, and x = 1 is shown below. Find the volume of the solid…

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Q: Q5: Solve the equation by Grammars rule: 2x + 3y - 4z = -3x+2y + 3 = 3 . 3x-y-z = 6

A: Calculating determinant of a matrix is the key requirement for this problem.

Q: Using the Simpson's rule, the approximated value for the integral: f, dx, is equal to -3 O O O O O 0…

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Q: 13. Integral √x dx

A: Here we have to find the integral.

Q: Use the quotient rule to evaluate h'(a) for the given function h(x) and a. 7x 9 - 2x Provide your…

A: A detailed solution is given below.

Q: Find the location and value of each local extremum for the function. 28) + -3 3 -4 -M

A: To find location and value of each local extremum of given function.

Q: A region bounded by f(y) = √√√, y = 1, y = 4, and x = 0 is shown below. Find the volume of the solid…

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