* Find grad A at p (1, -1, 1) for A = 3x² y z %3D - 6 i+ 3j-3k O 6 i +3j+ 3k O - 6i O -3 O Simplify 1i 12 0 : 19

Q: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: 1x + 2y = 4 -1x – 4y = -14

A: Given : 1x+2y = 4-1x -4y = -14

Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Compute / z(r +2) dr. + 2x) +C +z² +C +C O z°(z² + 2z) +C O z° +z? +C

A: Given

Q: 4 |(3t2 – 2t + 5) d

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Q: Question 8 12x +1 dx. (2x- 1) (3x+2) Evaluate: 1 A (2x- 1) (3x+2)? %3D B) In (2x- 1)? (3x+2)| + C…

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Q: Find fxxyzz for 1(x, y, z) = z³y²ln x. fxxyzz = -12zy/x2 fxxyzz = -12z2 y/x2 O fxxyzz = -12zylx…

A:

Q: 1 Find I = dx. x2-2x+8 Choose the factorization of the denominator from the following: Question 1)…

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

Q: (2a® + a² – x – 2)dæ

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Q: Obtain the largest value of x with which X 1 (y+3)dy-33 2

A: Please see the attached image for the solution. If there are queries, please do not hesitate to ask.…

Q: If u = 2x – 3, thenx V2x – 3dx :

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Q: The values of a and b, for which the function f(z) = x³ + axy² + i3x?y + iby³ is analytic, where z =…

A: Given function is f(z) = x3 + axy2 + i3x2y + iby3 by comparing f(z) = u +i v here u = x3 + axy2  and…

Q: Determine the values of x, y and z if (x+y+z)i + (y-z+1)j + (x-z)k=0. (x−y)i + (y+2z)j +…

A: A vector  is equal to the  vector if all the individual components are equal to

Q: When you plug in (0,0,0) into 7x - 5y + z = 0. It holds true, however, when you plug in (1,1,1) into…

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Q: X + 3y + 2 = 10 X-2y = 2 = − 6 2x+y +2₂=10 1

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Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

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Q: K dt ²-10t + 29

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Q: Find ох given that 2лу у? 2.xy ].x-[;] Y X Y

A: If we find partial derivative of any function f(x,y)  with respect to x then taking y as constant in…

Q: (x*2)+(y*1.5)+(z*0.5)=20 find the values of X, Y, & Z

A: Please see the below answer.

Q: /| (9x + y – 2z) dS. Is Evaluate S: z = x + 0 < x< 4, 0 <y< 7

A: Given: ∫∫S9x+y-2zdSS:z=x+y2, 0≤x≤4, 0≤y≤7

Q: Trigo Substitution

A:

Q: Find curl (2z i + 3x j+ 2y k). curl (2z i + 3x j+ 2y k) = )i + ( i )j + ( i i )k

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Q: 21 - 21 +k).(21- 3j- 7k) = %3D 3/4 1/2 3.

A: Let two vectors, be r1 =a1i^+b1j^+c1k^ and r2 =a2i^+b2j^+c2k^  . The dot product of these vector, r1…

Q: 2х + 1 J (x – 2)(x – 3)²ax

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Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: Find xy2 √ R x2 1 x²+1 dA, R= [0,2] x [-4,4]

A: First, we need to identify the limits of integration. The rectangle R is defined by the vertices…

Q: Diagonalized  if possible, where is A=[■(4&0&1@1&1&0@3&0&1)].

A: Given A =   4 0 1     1 1 0     3 0 1

Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j

Q: 22 - z - 20 22 - 4z – 5 Simplify: 22 + 9z + 20 22 + 7z + 10

A: the given expression is: x2-x-20x2+9x+20÷x2-4x-5x2+7x+10 we have to simplify the given expression.…