A. Verify if the given equation is a solution of the given differential equation: (Show your complete solution:

Q: 2. Determine the general value of the following. tan(2 - 5j)

A: According to the guideline, only one question can be answered. Please repost other question…

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Q: 7. tions Compute the general solution of the system of differential equa- 3 x-(-8-29), 0-20 y. -6 27…

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Q: 2. Use differentials to approximate the following: (b) f(x, y, z)=√√√x + y + 52² at (x, y, z) =…

A: Solution :-

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Q: 15. Which of the following vectors in Rº, if any, are parallel to u = (-2, 1, 0, 3, 5, 1)? (a) (4,…

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Q: Calculate the line integral F. dr, where F (3y, -3z, 2x + 2) and C' is the boundary of a triangle…

A: We will find line integral by using stokes theorem .

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A: Given subspace 042, 55-5

Q: 17. Evaluate f. dr, where F(x, y) = centered at the origin. (²²²²), and C is the circle of radius 5

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Q: - 27. Determine k so that lim (3e-kt — k) = 8118 I T 5

A: We have to find the value of k for which given limit is true.

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 7. A spring has a mass of 1 kg and its spring constant is k = 100. The spring is released at a point…

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Q: Let F = (3z + 3x²) i + (6y + 4z + 4 sin(y²)) 3+ (3x+4y+6e²²) k (a) Find curl F. curl F = (b) What…

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Q: Y" - 5y" + 3y' +9y = 0, y (0) = 0, y'(0) = -1, y" (0) = 1 (use Laplace Transforms)

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A: Cauchy residue theorem is used to find the integral of a closed curve. Cauchy residue theorem says…

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A: Solution :-

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Q: 4. Find the Laplace transform of the following function. if 0 4. f(t) = t, 4e-t+4,

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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A: Solution :-

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Q: Task 2 (Spec 1.j). Suppose What is p(t)? L[p](s) = e-4s s(s² - 92)*

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Q: 6) Find the area of the part of the sphere X² + y² + Z² = 4 that that lies above the plane Z = 1

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Q: AN

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Q: Question 3. Let S denote a solid with the shape of a right circular cone of height h and radius of…

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Q: c2π cos² t 13+ 12 cost dt

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