Write a in the form a = a-T +aNN at the given value of t without finding T and N. r(t) = (-3t+2)i + (-2t)j + (-3²)k, t= -1

Q: Perform the indicated operations and express the result in simplest form 3j2-j20+(10+j4)

A: Given expression is 3j2-j20+10+j4.

Q: Values a and b satisfy (a + 1)2 + (b − 23)4 = 0. Compute the value of ab.

A: We have been given the equation (a + 1)2 + (b − 23)4 = 0

Q: Which function represents a transformation of the parent quadratic function and 2 units down? a. fx)…

A: Here we have to transform the parent qau8dratic function 6 units to the left and 2 units down.

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: Find a x b, and c* (a x b) a = 2i + 3j - k, b= -1 + 4j + 5k, c = 2i + 3j + 4k Show all steps

A:

Q: du - 2 yco tex a 2CSC 2X

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: .4 dx (x² + 9)2

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

Q: The expression r = 3 Co = x²y³zt where: x -4y626 (xy) 42-1 8 = " and t =

A: Please see the below picture for detailed solution.

Q: Compute (2i + k) × (3j + 5k).

A:

Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

A:

Q: Determine x so that x, 2x + 7, 10x -7 will form a G.P

A: Topic- geometric Progression In G.P ,coomon ration between consecutive terms is  same for all terms…

Q: Express e(1/2-6) in the form a + bj.

A:

Q: Determine |z| if z =2−3i.

A: z = x +i*y |z| = √(x2 + y2)

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: For the planer curve represented by the parametric equations x = 3t and y=t² + 5, what is the…

A:

Q: Find integers x and y so that gcd(3953, 1829)=3953x+1829y. x=2,y=5 x=-12,y=-13 x=-6, y=13 x=6,y=-13…

A: Solution:we have to find integers and so that first we find gcd of (3953,1829)here we see that…

Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: Evaluate x +3 dx (x – 1)(x² + 25)

A:

Q: Find a - b

A:

Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

A:

Q: If find |A| = A = -1-20 [4+4i-1-21] 3-i

A:

Q: Which of the following expressions has the greatest common monomial factor of 4x y? O 17x3y + 8y3-…

A:

Q: Q1- If z₁ =3+2i, and z2 = 1-2i. Fined the real part and imaginary part of the 2z2-z₁+5-i following…

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: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: Express as a polynomial.

A: The given expression is 3y3-2y2+y+4y2-3.

Q: x² + 6x – 1

A: We have to express  x2+6x-1 in the form (x-m)2+n.

Q: Q3- If A = 4i + 2j – 3k , B = 5i + 2j – k Find |A X B|

A: