1. Given the graph of f(x), sketch the graph of the following functions, andstate the domain and range for each: a. 2f(x -5) DOMAIN RANGE b. -f(x) + 3 41 DOMAIN PANCIE -10 12 14 17

Q: 4. Let B = {1, 2, 3, 4, 3, 2, 1}. What is |B|?

A: We will solve the following

Q: 2(.5)"-| 2) n31

A:

Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: | (1– 2r)dr

A: Given:∫01(1-2x)dx = ∫011dx- ∫012xdx                     ∫fx±gxdx=∫fxdx±∫gxdx…

Q: 2. Sキ 1 dx 5+x2

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Q: Evaluate.

A: We have given : ∑k=15k2+4 We have to find the sum :

Q: 34 ot fle). 1 z(z* 1) (z-2)²

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

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Q: 11 |72.6

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Q: 5 21 197 Determine if w = -3 is in Nul A, where A =| 13 23 2 8 14

A: If the value of A . w=0 then w is in Nul A. Otherwise it is not.

Q: 2. Prove: A – B = ANB

A:

Q: AC Biff P(A) C P(B).

A:

Q: Prove the A.B = B.A.

A: To prove AB = BA.

Q: 5.) * 38 21 16.5 12.9 26.9 18

A: given,

Q: If 2.P(5,3) =p(n,4),find n

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Q: P+ हे-a+7 +4x 15 Put +axŅ if

A: Given rt→=ti^+lncostj^ We have to write a→ in the form a→=aTT→+aNN→ Where, aT=ddtv and aN=aT2+a2…

Q: Can you find a,b,c, and d (if exists) such that AB = BA.

A:

Q: 18 14 X°

A: 14 is opposite to the angle x and 18 is the hypotenuse.  So,…

Q: G. iF themc1:58 then the mc GSP? S, 2. 3.

A: m∠1=58°

Q: man is んis now times old 十en Yoan as Son in 7he Sum their tof old will be ages the 76 how whin was…

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Q: 4. Suppose that P(A)=0.7 and P(B)= 0.5, and P([AUBY) =0.1. Find a) P(AOB) b) P(A| B) c) P(B|A)

A: Given data,P(A)=0.7P(B)=0.5P(A∪B)' =0.1P(A∪B)=1-P(A∪B)'=1-0.1=0.9

Q: dx 4 ex

A: To evaluate: I=∫ex2e2x−4ex−1dx Assume, ex=t ⇒exdx=dt

Q: Is {3} E {0, {1}, 2, {3}} ??? O True O False

A: Concept:

Q: let A. 2. . find A"

A: We have, A=1201To find An we will calculate A1,A2,A3,... and observe the pattern.

Q: Determine n if (i) 2n C3 : "C₂ = 12 : 1

A: From the provided information,

Q: When m = = 1, 2 4 (1 : 3) (² : 1) (² : 5). . m (m + 2) · 5) = (m + 4) (m + 3) =

A:

Q: 2. Find a2ı for {121, 118, 115, . . .}

A: 2. The arithmetic sequence is given by 121, 118, 115,........ Formula Used : an = a1+n-1d…

Q: 2. Find x in AABC. 16

A:

Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: If the answer is no, give a counterexample to answer each question. Part 1 out of 2 a. If a number…

A:

Q: DIVISION BYt (:) - {}> 81. Show that In %3D

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Q: 2. Determine if w = -1 is in Nul A, where 2 6. A = -3 2 -5 -4

A: Given matrix is A=264-325-5-41 The row transformation of the matrix A is, 10-1011000 The row reduced…

Q: 4. If (24 – 51)-1 = B 1, determine A.

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Q: Which of the following power series must be used as the nonhomogeneous part for the given initial…

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Q: 9+13+17+ 21+000 + 65 = Σ B₁ where n=1 A= B =

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.