2. If f(z) = (z)? – (z)² + zzi, calculate the following: a) u(x,y) and v(x,y) b) u(-11,–7) and v(-11,-7) |

Q: f = {(-9, – 2), (-8, 5), (-6, 1), (- 3, 7), (–1, – 2),(0, – 10)} and g = {(-7,7), (-6, 6), (-5, 5),…

A: Given that, f = {(-9, -2), (-8, 5), (-6, 1), (-3, 7), (-1, -2), (0, -10)} g = {(-7, 7), (-6, 6),…

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

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

A: Given the vectors v=i−4j+2kw=3i+2j+k

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: a b If p q |x y C r ZI ja+x b+y c+z 5z -r = -4, evaluate 5x 5y -P -q

A:

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

A:

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: Find x and y if: 16*+2y 32*+3y 32 and 8x-y 16*+2y 8. ||

A:

Q: /1-y² S(y² + x²) dzdxdy -10

A:

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

A:

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (2, −2, 1), v = (2, −1,…

A: Given

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

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

Q: If v = -2 4 and w = 4 11 3 " compute proj(w) and proj(w).

A: (.) Given vectors are,      (.)  If  are two vectors then,         (.) Vector  is an orthogonal…

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

A: Solution:Given    v=-i+3j+2k              w=3i-2j-kFind:(a)v×w(b)w×v(c)w×w

Q: Find the antiderivative Q (t) of f(t) = t√/t - t√t A. Q (t) = ²/t²¹ √t + / + C B. Q (t) = ²√t-/+ C…

A:

Q: (x²9) Lim X→3 (X+3)

A: To calculate

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: If (x, y) what is G ()? 3x-5y {c}= {D} - -18 {A } 67 6 -15 {B } 67 6'

A: Given; 1) 3<=x<5 2) (x,y)=2x/(3x-5y).

Q: If B = exp(r - 2), what is VxB?

A:

Q: 2t – 5, t 2

A:

Q: (² 4 Calculate AT Let A = Select one: O a. O b. O C. O d. (63) 5 TOT -4 0 0 -2 -3 2B. 2 (9²) -5 -2 0…

A: The matrices are given by A = 0-24-3B = 21-11 To evaluate: The value of AT-2B.

Q: dt 2 +1)

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: (z-1)²sin (dz (2-1) C:\z + 11 = 1

A:

Q: 2. ydx + (3x – xy + 2)dy = 0

A:

Q: | (x – 3)2 - c) dx Va2 – 6x

A:

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (−1, 2), v = (2, −2)

A: u→=-1,2v→=2,-2a u→.v→=?     u→.v→=-12+2-2           =-2+-4          =-6u→.v→=-6

Q: u = ⟨−7, −1⟩, v = ⟨−4, −1⟩, find (a) u ∙ v, (b) u ∙ u, (c) || v ||2 , (d) (u ∙ v)v, and      (e) u ∙…

A: Hey, since there are multiple subparts are posted, we will answer first three subparts.

Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

A:

Q: 1. Expand the brackets a. X(x+2) b. X2(x+x2) c. 3x(x-y) d. 4x2(2-3x) e. X3(1+2x -x2) f.…

A: We can solve this by properties of power of polynomials xm*xn = xm+n

Q: 2 - Find: (a) 3a ,(b) a +b , (c) a-b , (d) la + b|, (e) a- b|, (f) 3a – 4b and (g) | 5a + 2b|. If 1.…

A:

Q: Find (a) u + v, (b) 2v, (c) u − v, and (d) 3u − 2v. u = (−1, 2, 1), v = (0, 1, 1)

A: Given  u = (-1,2,1) , v = (0,1,1)Find   (a) u+v      (b) 2v      (c) u-v      (d) 3u-2v

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.