2. Compute e for the following: (a) B= (1 2). (b) B = 3= (1 ²). (c) For B as in (a) (resp. (b)), determine eB

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: Prove that if n is a +ive integer,

A: Given that, M xddxnf(x);p = (-1)npnF(p) We can prove this by mathematical induction.

Q: 27 Find (all) the value(s) of c such that 3c" n= (A) c=3 (В) с— 4 (C) c = - (D) c=} 33 %3D (E) с 3…

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Q: Find e if Z.! -2-2i

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Q: Find all numbers z such that Az3 + Bz² + Cz = D %3D B = [2 4 21 1 1 1. A = 1 3 1. 1 -2 2 4 21 C li 3…

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Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

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Q: * n(A) = 11- n(A J B) = 15. and n(B) = 13, what is n(ANB)? n(ANB)

A: Solution: From the given information,

Q: (d) 3! 2! and (3-2)!

A: Given that  D) 3!.2! E) (3.2)!

Q: (a) A B (b) (c) P(A)=0.82, P(AUB) = 0.91, P(B) = 0.64

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Q: A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the…

A: Given info: A standard deck of cards contains 52 cards. One card is selected from the deck.

Q: Let G = (Zj0, X10) then o(G) is а. 5 O b. 4 С. 3 O d. 2 О е. 10

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Q: Q. 5 Given that A and B are independent with P(AUB) = 0.8 and P(B)= 0.3, find P(A).

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Q: What is the order of in GL2(R)?

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: If n(Ax B) = 620 and n(B) = 31, find n(A). n(A)= n(B)= @)(::;:233)5

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Q: -1 1 Then, |A|l1= 1 -2 Let A= Select one: a. 4 b. 2 C. 3 d. 1

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Q: 3. 6. 7 #3. Let A = 2 3 What is tr(A), the trace of A? 0. 4 (A)3 (B) 5 (C) 6 (D) 7 (E) 24

A: In linear algebra, the trace (often abbreviated to tr) of a square matrix is defined to be the sum…

Q: V. b) Let X₁. X₂X128G(2,4), by CLT find P(7 < X < 9) use (N(2)-0.977).

A: Given that X1,X2, .....X128 ~G(2,4) then using CLT we have to find P(7&lt;x̄ &lt;9)

Q: (c) (i) Express the decimal 9.999 in the form where a, b € Z.

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Q: Verify that det(AB) = det(A) det(B) for the following:

A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

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

A: Given Dn = -7n, 5n

Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

A: If , show that .

Q: Let P(E)=0.85, P(F) = 0.23, and P(EUF) = 0.94. Find (a) P(EIF) and (b) P(FIE). (a) P(EIF) = (Type an…

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Q: (-1)^ xIn lIt) = (-1)" (n+ 2 2n+1(n + 1) che exact value of

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Q: L2 (2² – 2æ) dæ =

A: We have to find the value of the definite integral of the given polynomial function.

Q: [ (ln(7x))²dæ

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Q: - Evaluate the followings: (i)-r' (4) (ii)-(2) (ii) (-3) Г (iv) Γ(0.5)

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Q: Find o e S6 such that o(1234)o = (354 6).

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Q: (6) L {(1+ te-t)a}.

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Q: 3 I- 0) = [u- w -3 [-1 4] 6.

A: We will solve it in parts Consider 0-1453-101-1 = (0)(5)+(-1)(-1)+(4)(1)    (0)(3)+(-1)(0)+(4)(-1)=…

Q: let A= [. find||A||1 1 5 Select one: а. 6 O b. 8 С. 3 O d. 2

A: let A=23-15   find A1

Q: Compute the following values, showing your work: φ(20), φ(25), φ(54) and φ(8!)

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Q: (a) Find the left cosets of {e, (1, 2)} in S3. (b) Find the right cosets of {e, (1, 2)} in S3.

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Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.

Q: [3re² 3re²z dx = C

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Q: (9) Let P, Q, R be (a) (¬P VQ) (b) (P mathematical statements. Negate the following statements.…

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Q: (-1)" (n+ 2) 2n+1(n + 1) Compute the exact value of

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Q: 10 Let A = ,C = 6 1 and D ,B = -3 -7 Find X, if AB" + 14C¬1 – |D|X = 0 %3D

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Q: If P(E) = 0.60, P(E or F) = 0.75, and P(E and F) = 0.10, find P(F). P(F) = (Simplify your answer.)

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Q: (4₁1) 6-₁2) after reftextion X=3 more (21,1) (11) clear (32) here пен

A: Reflection is a transformation that has a mirror image about a line as a two-way mirror .