2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ + x3 = 3

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Q: [4 1 5. Find the eigenvalues and eigenvectors the system X'= 0 4 Lo 0 Use the eigenvalues and…

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Q: Find the divergence of the vector field At the point (2,4,1). F(x, y, z)=x²2√√yi + -j + zk

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A: Given: S=200x5+y+100y10+y To find: Solution

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Q: 10. Consider the differential equation x" + 16x = f(t) where f(t) = 2- |t| for -2 < t < 2 which is…

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Q: 10. Consider the differential equation x" + 16x = f(t) where f(t) = 2- |t| for -2 < t < 2 which is…

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Q: T Q2/ Reversing the order of integration fxsinydydx.

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Q: Q3: Approximate the integral using Taylor series method: TU 2 S x. cos²x dx

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Q: How to find the Laplace transform of this equation? f(t)=sinh^2 t

A: Let us find the Laplace transform of the given equations in the next step.

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Q: 1. Consider the following first-order ordinary differential equation 2,2 2x²y cos x dy + (2xy² cos x…

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Q: = {1,2,3,4,5} and define a relation R on S x S by (a, b)R(c,d) if ad = bc. Show that R is an…

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Q: (c) Continuing from part (b), suppose we can find functions and z so that (uoz)(x, y) is an μ…

A: Note: : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Multiply the following fractions using the array model method described in the video lesson. Make…

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Q: The Z inverse of 3z/(z-2) is:

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Q: Exercise 2 Using the Laplace transform and showing the details, sovle the IVP y" + 3y + 2y = { 1¹ 0…

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Q: Solve the ODE y(4) - 4y" + 8y" - 8y + 4y = 0.

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Q: Find the angle between the two vectors A = i +j+ k and B = 2i+j-k

A: By using the formula of angle between two vector, we solve the given problem as in next step.

Q: The Laplace inverse of 5/(s^4) is: O Non of These O 5^3 Ot*4/5 O 415 51^3/6

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Q: (3) Let A be commutative ring with identity, then A has just trivial ideals iff A is ........ O…

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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A: Given a figure and some statements. To provide a conclusion for each statement. The given figure is

Q: Reversing the order of integration fxsinydydx.

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Q: the angles between the vectors u = 2i - 2j+ k, v = 3i + 4k = O 84.2 O 40.2 O 48.2 80.3

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Q: What calculator (things) shows one mathematical pattern? Make a brief explanation. a. bilateral…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Q1/ Find maximum,minimum OULE ,and saddle point of the surface Z = x³y³ - 12x + 3y + 12.

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Q: Q5: find the possible solutin area: Max Z= 8x+ 6Y S.To 2X+ 2Y ≤60 2X +4Y ≤ 48 X,Y20

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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Q: Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other two…

A: Given, Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the…

Q: .Condense the logarithmic expres 3 log5 3x + 2log5 (x - 2)

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Q: For the following three graphs, (a) compute the sum of the degrees of all the vertices, and (b)…

A: For the given three graphs, We have  (a) To compute the sum of the degrees of all the vertices (b)…

Q: B)ls w = z²1² analytical function or not?

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Q: Use the product rule to find the derivative. y = (2x²+5)(3x - 2)

A: Here given that y=(2x2+5)(3x-2) We have to find the derivative of the function y i.e. y' by using…

Q: Show all your work to receive full credit. Write your answers as complete sentences. 1. Use the…

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Q: 3. A resistance of 11 Q2 is connected to a battery having an electromotive find: a. current b.…

A: Please see the attachment

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Q: Questions about Singular Valued Composition (SVD) and vector subspace.   If the value of the…

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Q: Q3. Solve the following differential equation by method of power series: d²y dx² dy +x+9y = 0 dx

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Q: Jatrix |AJ = 6 2 he rank of matrix is 3 4 10 7 1

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Q: Evaluate the following double integral using the composite Simpson's 1/3 rule with one interval in…

A: To find- Evaluate the following double integral using the composite Simpson's 1/3 rule with one…

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: B)is w = 2²1² analytical function or not?

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Q: Prove that S. 8 dx √π 2

A: This question is related to integration using gamma function.