Suppose that a, b € Vand S € V2 are given. By expressing these quantities in a coordinate frame, or otherwise, prove the following identities: (a) S(ab) = (Sa) & b, (b) (ab)S = a (STb), (c) (a❀b)¹ = b❀a,

Q: Write the following equation in index form V(div v)+u x (vxw)=p(c®b)a VX W

A:

Q: 2. Determine the power set p(A) = {{a, b}, {c}, {d, e, f}} 3. Suppose A = [7, e,0} and B = (0,1}.…

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Q: For each of the following, state whether it has meaning. If not, explain why: (a) (ū. v) — |w| (b)…

A: We have to find the vector meaningfull

Q: Suppose John tosses a coin 5 times. Let X be the number of heads. Calculate Pr(X = x) for x = 0, 1,…

A: if a coin is tossed once than the p=P(getting a head)=12=0.5Let X=no.of headsX~Binomial(n=5 ,…

Q: 2х [3]y = Ce* +C2e- - 3x+3/2-2xe

A: 3 Given that y=C1e−x+C2e2x−3x+32−2xe−x.......1. We have to eliminate the arbitrary constant.…

Q: Find the value(s) of such that х -1 2х 1 -1 0=12 2 -1 -x O x=4 or x= -3 O x= -4 or x = -3 O x= -4 or…

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Q: s there a formula to calculate:  If A and B are dependent and P (A/B) = 0.35 then  P(B/A) = P (A…

A: A and B are dependent P(A/B)=0.35   we know that, P(A/B)=P(A and B)/ P(B) P(B/A)=P(A and B)/P(A)

Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

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Q: Please answer in typing format for like

A: Given : For two events A,B∈Ω,(i) P(B|Ac)= 0.1 (ii)P(Bc|A)= 0.8(iii)P(A)= 0.4Where Ω is the set of…

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Show that S1 = S2 if and only if Si U S2 = S1 N S2.

A:

Q: Find the class equation of G= {I, a, a², ß,ßa,ßa²|a² = ß² = (aß)² = I }

A: Here first identify the number of element of the group and group itself: given that α2=β2=αβ2=1The…

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Q: Find the values of for which (40-4.0)ndV =(a,) la.1) are linearly independent in

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Q: (2) For each nEN, set D= [ Find each of the following (2) U Dn. (b)

A: Given Dn = -7n, 5n

Q: (1+i)" – 1. F = A[- - i

A: Solution...

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A:

Q: (2) Find all the numbers z such that elz = 10i.

A: Consider the given. eiz=10i

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A: Follow the procedure given below.

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A: Given cosθ=-1

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A: Given: Here, the dependent variable is z, independent variables are x and y. And the type is a…

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A:

Q: The standard error equation can be rewritten to v(o In). O True O False

A: In this case, we need to check whether the given statement is true or false.

Q: let v = (1, 2, 4), u = (6, −1, 2), and w =(1, 0, −3). Calculate the given quantity.  v · (u × w)

A: v=(1, 2, 4)u=(6, 1, -2)w=(1, 0, -3)

Q: The values for P(A₁B) and P(A₂B) were found to be 0.20 and 0.02, respectively. Use these values to…

A: The values for P(A1nB) and P(A2nB) were found to be 0.20 and 0.02 P(A1nB) = 0.20 P(A2nB) = 0.02 Find…

Q: しEgt やと1 fnd X,yiflzxti}{y2)~-2-91

A:

Q: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

Q: find the derivative of (2³ + j)² O 23 +j O 223 + j O 625 + j6z² O 325 + j3z?

A: Derivative of (z3+j)2 is 2(z3+j)2-1(3z2+0) = 2(z3+j)×3z2 = 6z2(z3+j) = 6z5+j6z2

Q: Find the value of each of the following quantities: C(12, 1) C(8,5) = C(6,5) = C(9, 9) = C(5, 1) =…

A: The objective of the question is to calculate the value of the combinations for the given pairs of…

Q: Express by ¡y; in the terms of x variables where y; = C¡¡x; and bicik = 8k.

A: Given equations as yi=cijxj and bijcik=δki