determine whether or not each of the following is true. Prove it if true, if not true give a counterexample. (b) (A−B)∪C= (A∪C)−(B∪C).

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

A:

Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

A:

Q: ZA and ZB are supplementary. If mZA = (8x+100)° and m B=(2x+50)°, find m/A and m/B.

A:

Q: Hả+b+c = 0, show that ả x b = b xả = xã

A:

Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

Q: (1 + ?)(1 – i). Show complete solution.

A: This is a problem of complex analysis.

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: 5x – 4x3 + 8x )dx

A: One property of integrals that will be used is ∫f(x)+g(x)dx=∫f(x)dx+∫g(x)dx. Another property of…

Q: Simplify. [(20)²]³ 8i Enter your answer in the box.

A:

Q: A B C D E t

A: Option (B) is correct. Since Arrow is moving diagonally and rotated by 90°.

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

A:

Q: Given that 6x + 2y = 0 and x² + y2 = 2(32 + xy) Calculate the value of x and y.

A:

Q: (2 + j)?

A:

Q: L. Given 2+ 2r + br - 19z +15 - cx + dx? + ex +f, find the values of b, c, d, e and f. * + 2r +5 INP…

A:

Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

A:

Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

A:

Q: Let à = 27 - 5j + 4k and b = − − 5j + 4k. Find -a + b. -ā +b =

A:

Q: Find ||v||. v = -6i - 12j - 4k

A: if v= xi + yj + zk  where i,j, k are unit vectors given V=-6i-12j-4k  here x= -6 , y= -12 , z= -4.…

Q: Solve (Adj|C|+4C)T.

A:

Q: Let X and y be two real numbers different from zero. Simplifying the expression 2xy ( - x2y) +…

A: To simplify the expression.

Q: 2 4 .2 + 2+ jo to

A: given that                                               4-j2j2+2+j0 we know that…

Q: dx Evaluate : 1-

A: Consider the given: ∫dx1−xApply u-substitution:u=1−x∫dx1−x=∫ −2−u+1udu=−2⋅∫−u+1udu

Q: The Yp of (D²+D) y=20

A: Given (D2 + D) y = 20 To find yp(x)

Q: Let B = {b₁,b2} and C = {C₁, C₂}. Find [v] and [v]. 10 -9 -8, -6 --5 C/ -4 -3, -2 6+ 4 3 2 1 H -2 -3…

A:

Q: Hypertension A pilot study of a new antihypertensive agent is performed for the purpose of planning…

A: Given Information: Sample standard deviation is 8. Sample size n=21. Significance level α=0.05 (b)…

Q: Find (u + v) ∙ (2u − v) when u ∙ u = 4, u ∙ v = −5, and v ∙ v = 10.

A: u·u=4,  u·v=-5  &  v·v=10

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.