(a) x = 4t, y = – 3+ 3t O (x, y) = ( – 3, 0) + 1(3, 4) ai + bj = - 3i + t(3i + 4j) O (x, y) = (0, 4) +t{ – 3, 3) ai + bj = -3j + 1(4i + 3j) O (x, y) = (0, – 3) + t(4, 3) ai + bj = -3j + t(4i + 3j) O (x, y) = (4, 3) + t(0, – 3) ai + bj = (4i + 3j) + t( – 3j) O (x, y) = (0, 3) + t(4, 3) ai + bj = 3j+ t(4i + 3j)

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: Let X, Y, and Z be random variables, and let Cov(,) denote the covariance operator as usual. Suppose…

A: We want to find  (1) Cov(11Y,4X)= ?  (2)Cov(11Y+3, 4X+8Y)= ?

Q: x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

A:

Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: 2. If y = x2 + 2 and u = 2x – 1, then du II

A:

Q: xx X1+iy,=X2+iy20 2 X =X y= OךX

A: In the given question we have to choose the correct option from the given options  Concept: two…

Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

A:

Q: find x and y if (2x+1,y)=(5x+4, -7)

A: Given: 2x+1,y=5x+4,-7

Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

A:

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

A: Solve the left and right-hand side independently left-hand side 2ab+3ab+jb2-6a2 5ab+jb2-6a2…

Q: a) Find a (b + c) b) Find | a. (b+c) |. State its geometric interpretation. c) Find a vector that is…

A: a=3i-2j+k,b=-2i+j-4k,c=-i+j-3k

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: 3(z+9)=

A: 3(z+9)=3z+9×3 By simplify the equation by open the bracket

Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

A:

Q: Show that (z3 z4) -1 = (z3-1. z4-1)

A: We prove the given statement by taking Z3=x3+iy3, and Z4=x4+iy4. After using the fact of…

Q: 1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In…

A:

Q: What is x and y? (3x + 2y, 4) = ( 6, 2x + 3y)

A:

Q: the Y.   CHOOSE ALL THAT ARE CORRECT   A) Y/4=(4-X/2) B) Y=4(4-X/2) C)  Y=16-4X/2

A:

Q: Find the midpoint between (8, 17) and (24, 31)

A:

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A: Given data:     The given expression is:. The expression for the given function can be written as,…

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A: Center is (-1,-6) with radius 4

Q: -2 (3z') (3z")y z (2y²)(3y")z ) 21

A: We will find the solution.  We know  , let any number  x      If  (x)-2 = 1/ x2