Q.8 Find real numbers x, y and z such that (а) (b) 7xi + (y-3)j+ 6k = 10i + 8j – 3zk (x +4)i + (y- 5)j + (z- 1)k = 0

Q: Find curl (5z i + 6x j + 9y k). curl(5z i + 6x j + 9y k) = ( i )i + ( i )j + ( i )k

A: Given: To obtain the curl (5z i+6x j+9y k)That is to find: ∇×Fwhere here F=5z i+6x j+9y k

Q: Find curl (3z i + 4x j + 9y k). curl (3z i + 4x j + 9y k) = ( i )i + ( i

A:

Q: Find curl (6z i + 7x j + 8y k). curl(6z i + 7x j + 8y k) = ( i )i + ( i )j + ( i )k

A:

Q: 2sin2t=4sint+6 [0,2pi)

A: Answer and explanation is given below..

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: (b) d = 3i + 2k b = 4i + 4j – 2k C = i – 2j + 3k, d = 2i – j+ 5k Compute (d x č). (ā – b)

A:

Q: 2j (5-j3) B) Given that (2a+ jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

A:

Q: Show clearly all working with detailed explanations

A:

Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: rỉ + 10x1x2 + x = as² + ßt²

A:

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: a z+5y a a 10y+16z (Note: r, y are real numbers) O a2ly–11z O a 17z+15y O a 15y–16z O a 15y-15z O a…

A: We have to simplyfy

Q: 1 + + 4х 2x? х +2 1 1 A If x* (x+2) Then Find A

A:

Q: Example 4: Sohue: (2+j3)2²+ 4z +4-j6=0

A:

Q: Multiply: 3y2(2y³ - 4y² + 5y) a. 6y5-12y + 15y³ d. 5y5-y¹ + 8y³ b. 5y6-y4+8y² e. 6y5-y4+ 15y³ c. 6y6…

A: SOLUTION-

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: Find curl (82 i + 9x j + 6y k). curl (82 i + 9x j + 6y k) = = ( )k )i + (i )j + (

A: To Find : curl(8z i + 9x j +6y k)

Q: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

A:

Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

A:

Q: [2x+3y-z-5 4x+6y-2z x-4y+3z 5 10 C.

A: To find the values of x ,y and z satisfying all the equations

Q: 2. (3x+5)+(2x – 3)

A:

Q: Find f(5x5 + 6x²) dx

A:

Q: Evaluate the complex numbers j(3 – j4)* (-1+ j6)(2 + j)² (a) z1 1 +j 4 – j8 11/2 (b) Z2

A:

Q: (q/q-3) + 1 = (2/2q+1)

A: To solve for q, firstly, we take l.c.m on left hand side of equation.

Q: If z=x+iy where x and y are real, find the real and imaginary parts of:- 1 x² - y² (x² + y²)² X x² +…

A: The number is 1z2 where z=x+iy

Q: Factor completely. qs - 8s + qf - 8f qs - 8s + qf - 8f =

A: We have to complete factor

Q: Determine the simplified form of (4 – 37) (–9 + j) – (8 – j5).

A:

Q: 1. 9. 2

A:

Q: (8a in simplest form.

A: 8a-3-23To write in simplest form

Q: FINO Y = L A. Y = 6x (4) Yo B. C D. Yo [2 Ge 22-x²²0 ct. 86 +38 25² +53-3 -3x 20 -3x 3x 2x [등 -2x 2…

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

Q: 08. z, and 22 are the roots of the equation 422 + (1-1)2 + (3+2)=0. Without finding z, and z₂, find:…

A:

Q: Ex: 5 : R Ex: 5 € → R -5x1 – x2 – x3 T X2 x1 + 4x3 x3 Ex: 5 T -1 Ex: 5 -3

A:

Q: Select all the expressions that are equivalent to (3z + 2) (1 – 4) for all real values of x. A; 3z²…

A: We have to select the expressions that are equivalent to given function. This problem can be done…