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: Evaluate: O -0.05+j0.602 O -0.05-j0.602 0.05+j0.602 O 0.05-jo.602

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Q: 6. dy = 3 — 2у

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Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

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

A:

Q: If A = -1 1 4 1 -2 -3 0 1 -2 and B = -1 2 −1 1 4 -2 -2 -3 then

A:

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: Which picture is a graph of a circle with the center of (2,2) and a point on the circle is (-3,2)

A: Given a circle, with center (h, k)= (2, 2) And a point on the circle is given by (-3, 2) To find the…

Q: cotx Evaluate : co dx

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Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

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Q: IPIAI Evaluate p²^z^¸¶= J=

A: The given integral is;

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

A: To write the equivalent integral.

Q: Which x-value is in the domain of the function f(x) = 2cot(3x) + 4?

A:

Q: 3x 2 - 8xy - 2y 2 ; x = -5, y = -6   A.43 B.129 C.-182 D.237

A: GIVEN 3x2- 8xy - 2y2

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: De a b c formule

A:

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),…

A:

Q: D X A W - B В C

A: X=0.250 inch, Y=2.0625, and W=3.375Z = ?

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

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Q: find x it V= v 16+ 16 ton?ce

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Q: LetvER such that M=2 and uLv . Then

A: Given : u→,v→∈R4 such that ‖u→‖=2,‖v→‖=5  and u→ and v→ are perpendicular.

Q: СЕГ pxy xdzdydx

A: Given triple integral is ∫01∫0x∫0xyx dzdydx. The aim is to evaluate the integral. Let f(x) be a…

Q: Evaluate : I : -3 LO

A: First we split the limit so that we can easily break mod x as I have done in solution ....I have…

Q: C. 2

A:

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

A:

Q: Find the 19 ad gud deruaitive 5. and =55" 25 dr- ds

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Q: #14 Find the 4 =20 8+0 3o pu

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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: P= Poet.

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Q: A хо C 35⁰ B yo С

A: