2. Find the gradient of the following scalar functions: a) T = 8/(x+y+2:²) b) V=3x²y³z c) U = zsind/(1+r²) d) W = 8x'e +2y 3. Determine V-A of each of the following vector fields:

Q: 1. Perform the indicated operation: v-9 x v-343. A. 21 В. 21i С. -21i D. -21

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Q: Which property is: c × 1 = c

A: Given that       c × 1 = c We have to show that, this belongs to which property.

Q: Calculate the value of x if: 2x - y = 8 x + y = 7 Select one: a. Not Possible - Undefined. O b. 1 C.…

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Q: Evaluate: I (x – 3y)drdy

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Q: K:

A: Given query is to find the centre and the radius of the circle from the equation.

Q: Calculate / ye*y dA, where R = [0, 3] × [0,6]. Са Answer:

A:

Q: Find the following for p =, q =, and r =. Find -2p - r

A: Given that,    p = -7, -6  q= -1, -11, r= 0,9 we have to find the value of -2p-r.

Q: エ- Se -2 X e "sinzxdx %3D Sinzx-

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Q: Find B so that AB = 1 = BA, where A = 3 4 5 7

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Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

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Q: Tell the value of each variable: X1 X2 S1 S2 P [1 5 0 8 27 0 6 1 0 7 0 23 90 1 |296 X2 = S1 = S2 = P…

A: Here x1=27, x2=0, s1=90, s2=0, P=0

Q: Your answer is partially correct. Try again. g(x) 9, f(x) The figure above shows y 3 sin (5x) and y…

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Q: 3(b) Let x1, X2, ..., Xn be a basis for a vector space V. By generalizing the r produce an infinite…

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Q: 6. sinh(2 – 5i)

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Q: +C, you would enter 2t. vide your answer below:

A:

Q: xdx Vx4+1

A: We have to evaluate  ∫x dxx4+1. We know,  ∫dxx2+1 = lnx+x2+1 + C   or,   sinh-1x + C

Q: eV dr S- + 2ev +1 A -2 dr D) None B.

A: To write the equivalent integral.

Q: Perform the indicated operations when A= A + IA 0-1 2 1

A: We have a 2×2 matrix A  We need to find the matrix A+IA , where I is Identity matrix

Q: z² dz z4+I d d x

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Q: y = Ax? + Be2x ·Be²x

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Q: Calculate the result for the following, where A = True, B = False, C = True and D = True %3D F = NOT…

A: Given A=True NOT A = False B=True NOT A AND B = False AND True = False C = True

Q: Apply Stoke's theorem to the square region in the yz plane with coordinates (0,0), (1,0), (1,1),…

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Q: Set f(x) = xª for x ≥ 0 and f(x) = 0 for x < 0. For which values of a is f continuous at 0, and for…

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Q: Perform the indicated operations when A= A(I + A) = = -1 2 [4² 0 1

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Q: j = k 3 6 t

A: In this question we have to find the values of j, k and l.

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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Q: Find AB given that: 2 -4 170 A -35 11 and B- 0 -2 8.

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Q: The value of   x –  x(xx) when x is -2 a. -1 1/2 b. – 2 ¼ c. -10 d. – 1 ¾

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Q: Given that A=6-j1 and B=2+j3, find A*B

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Q: /2z-2² dydz Evaluate: 7 Vz²+y? O-V3 0 1

A: We have to solve the integral  ∫032∫x32x-x2dydxx2+y2

Q: secx dx

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Q: Show that AC = BC.

A: The given matrices are To show that AC=BC Find the product of matrix A and matrix C

Q: A хо C 35⁰ B yo С

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Q: Complete the following operations showing all of your work: [2 y 0] 14 10 BE -3 0 1 7 00 0 03 -20 2…

A: We have to complete all operation.

Q: 40x - 5

A: We are given the following figure.

Q: Let à = i +43 and b - 37 - 7j. Find a . b

A: