1. Consider the vector field F(x, y, z) = (2e2" cos(3y), –3e²" sin(3y) + Y a. Find divF(x, y, z) and curlF(x, y, z).

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Q: х — у 3. f(x, у, 2) %3D y? + z? а. f(3, —1, 2) b. с. d. f(2, 2, 100)

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: To find the surface area of the below plane if it is in the first octant. 15x−5z+20y=35

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Q: Use Lagrange multipliers to find the points on the cone z2 = x2 + y2 that are closest to (8, 2, 0)…

A: Given: Equation of the cone: z2 = x2 + y2 Given point: (8, 2, 0)   To find: The points on the cone…

Q: x - y 3. f(x, y, z) = y? + z? f(3, –1, 2) b. с. d. f(2, 2, 100)

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Q: (1) lim,o In (sec x) 3x (2) lim, (tan x)*

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Q: The Taylor series for f(x) = sin(x) at a = is n (x )". n=0 Find the first few coefficients. CO C1 C2…

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Q: solve the following first order differential equations (Variable separable)

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A: We have to find the general solution of the differential equation dydx+4x5=yx5.

Q: e following telescoping series 1 sin-1 1 sin-1 n + 1 n + 2,

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Q: Symbols Write the equation of the tangent line to the graph of y = (6x2 - 6x + 3)(1 + 2x) at x = 1.…

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Q: A stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 10…

A: Here a stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of…

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Q: (п + 1)(2х + 1)" Σ (2n + 1)2" n=1 8

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Q: 10. If it is known that the periodic function f(t) contains even harmonics only, which Fourier…

A: Given:If it is known that the priodic function f(t) contains even harmonics only

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Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: Question 21 Write the partial fraction decomposition of the rational expression. 23. 3x2.10x+ 8 2.43…

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Q: Using 7 consonants and 5 vowels, how many words consisting of 4 consonants and 3 vowels can be…

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Q: 12. Solve the second-Order differential equation: a²y dx2 -y = e* (use method of variation of…

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Q: Example 2: Solve for the DTFS coefficient of each fundamental periodic with respective period N of…

A: Given,X[k]=1+sin2πNk+5cos2πNk+cos4πNk+π3To find:  Discrete-time Fourier series coefficients

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Q: -4 *- 6x + B 3. Sketch the functionf (x) = Using intercept(s), hole(s), asymptote(s), end|…

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Q: COSX y2 dy e 8- Cotx COSX

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Q: The expression 5cos 6B – 5sin 6B is equal to A. cos 36B C. cos 12B B. 5cos 12B D. 5cos 3B

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