Use variation of parameters to find the general solution to the following system: dx dt dy dt = = 2x + y +6t² 4x + 2y +4t

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Q: Ransford and Alda Mariano own a home recently appraised for $422,500. The balance on their existing…

A: Answer  80% of appraised value = 0.8 × $422,500 = $338,000

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Q: 1. Find the Equation of a Parabola that has its vertex at the origin and satisfies the following…

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Q: A radio station runs a promotion at an auto show with a money box with 13 $50 tickets, 11 $25…

A: Answer)  Giventhat : From given information,  13 tickets = $50 11 tickets = $25 11 tickets = $5 20…

Q: Proof that ²³e¹b. O for Cylinder Coordinates Where ² √² +d² d2² dy² e³p. rcos $ +j sind

A: We can prove the given equation for cylindrical co-ordinate.

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Q: Find the Laplace transform of the following functions: 1. t-5/2 2. t5/2 sinh 4t

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Q: 1. (Q-R) (R-S) = Ø 2. [(CND) U (D' n C')] = (CD)'

A: This is a question from the Set Theory.

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Q: ← A manufacturing company performs a quality-control analysis on the ceramic tile it produces.…

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Q: 8 n=1 8 n=1 Determine if series converges absolutely and/or conditionally. sin³ n + cos n 2n (-1)"n…

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A: Given: Pigeonhole Principle and 3D grid with integral coordinates. To prove : If we take nine points…

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Q: 1. y" - 2y' e* sin x = 2. y" - 6y' +9y = x-²e³x 3. y" - 4y' + 3y = 2 cos x + 4 sin x

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Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

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A: Quadric surface: A graph in the three dimensional space is called a quadric surface and the equation…

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Q: Consider the surface S₁ with equation 2² -4 = 2z. a) Sketch the graph of S₁ in R³. Indicate proper…

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Q: U₂ = k Uxx + ax (0<x<c, txo) with 4(o₁t)=0₁ U(C₁t)=0, 1(x,0)=0 L

A: (4) We solve the non-homogeneous heat equation by using separation of the variables.

Q: Problem 2. Consider the following two graphs: G₁ V₁=(a,b,c,d,e,f,g) E₁={{a,b),(a,d),(b,c}), (b,d),…

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Q: If B2×2 is a scalar multiple of I2, then AB = BA ∀A2×2

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Q: For each of the following three systems of equations: (a) Construct the associated augmented matrix…

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Q: | 57. What fraction of the diagram is shaded? Write the fraction as a percent. a. 7 24 58. Evaluate.…

A: Answer (57)  In given diagram, we see that  There is 21 shaded part. The total number part is 24.…

Q: Let Find an orthonormal basis of the row space of A. { [ 1 1 A = [424] -2 -3 ]]. [

A: Row space of a matrix is the vector subspace  spanned by the rows.

Q: By using formulation in Newton Method, show that the solution of the secant method p can be…

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Q: Given that log₂ a + log₂ b=3, calculate all the possible integer values of a if b is also an integer…

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Q: Find (3x + 2y)dA where R is the parallelogram with vertices (0,0), (3,-1), (4,-4), and R (7,-5). Use…

A: Given: R is the parallelogram with vertices 0 , 0 , 3 , -1 , 4 , -4 and 7 , -5. To find: I=∬R 3x+2y…