Tutorial Questions: T O 2]' [2 1 -3 -7 1 8] [0 11 17] 81' [7 5] 5 -5 0 d) 3 3 1 2] [9 2]

Q: 5. If y = ax"+1,n # -2, then which of the following is equal to ſ ydx? %3D axn+1 А. + C n+1 С. axn+1…

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Q: 1. a|b iff ac\bc, where c # 0. 2. If alc and a+ b= c, then a|b. 3. 7|23n – 1, Vn € N -

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Q: Show that if x > 9, then x³ – 8x? + 2x > 3. Show that for all n e N, if n > 10, then nª – 2n² > 3n³.

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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: a?u a?u a²u 4 ax2 - 2 = 0 дхду ду? n. ди u ду? ax —2 иҳҳ + иxy t 4uyy + 5 их + 5и — 0

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Q: 1 2 0R3 If A =0 3 1 2 - B, then det(B) = 0 0 4 6. 24 40 12

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Q: µ = 3, o² = 9, P(−6 < X <12) a. Determine P(µ − ko < X < µ+ ko) ≥ 1 − 1/k²

A: The question is about Chebyshev's inequality Given : μ = 3 σ2 = 9 So, σ = 3 .... by taking square…

Q: -6-2cos 0 = -4 + 2cos 0 %3D T 7n B) 3' 3 4. 2n 47 n 2n C) 4 D) { d, 3. 3 4.

A: Given expression: -6-2cosθ=-4+2cosθ Simplify the above equation…

Q: [2 1] Q2) Assume A = |1 3 L3 4] [2 4 6 4] ㅋ 4 and B = 13 show that (AB)' = B' A'

A: Solution: The objective is to show that the given relation

Q: -2 7 6 -3 0 08-5 A = 35 8 53 4. Find M13 and C13. M13= C13= i 48

A: Minor of an element of aij of the determinant of matrix A is obtained by deleting ith row and jth…

Q: S V64 x da 3 x 2 +c 16 None 3 16 x 2 +c 3 16 x 3 +c 3 2/3

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Q: 15- (x + 5)lnxdx =? a) (-21/4) - 12In4 b)O (21/4) - 12ln2 (23/4) - 12ln4 d) O (-23/4) + 12ln2 e)…

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Q: Find the Riemann sum for f(x) = sin x over the interval [0, 2 ], where

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Q: 3 [1 Q 4- Find A-1 for A =1 li 3 5 12]

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Q: نقطتان )2( if A =0 G then, 7. -2 B = [4 5] 91 Lo 1. AXA = -2 AXA = 6 201 -3] 2. 3. AX A = [1 121 -61…

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Q: 19. According to Table B, P (z < -1.7) is a. 0.0446 b. 0.9876 c. 0.0221 d. 0.025

A: 9) We need to calculate, P(z&lt;-1.7)

Q: Select all expressions that are equivalent to (2n +6)(n+ 3). O a 2(n? + 6n + 9) 2n+ 6n +18 Oc 2n…

A: Given,  =&gt; (2n + 6) (n + 3)  Taking '2' common from expression , =&gt; 2 (n +3) (n + 3)

Q: Find Following 8 the (1) 3-2i / -1+i 20 (2) 3 -4 2 4+3? (3) 3 ¿30 -¿19

A: We have to simplify the given equations. The equations are 1. 3-2i-1+i2. 5+5i3-4i+204+3i3.…

Q: 1 2 3 4 , Q10- If 8 9 7 6 5 1-find Det.? 2- (1/Det.)(A) 4 5

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Q: 2. What value of n makes the equation 4(0.5n- 3) n-0.25(12-8n) true? 3 -9 <-15 FGHI

A: The given equation is 40.5n-3=n-0.2512-8n.

Q: If X represents a geometric variable with p = 0.7 then Pr(X>250) is equal to Select one: O (0.7)250…

A: Obtain the probability that P(X&gt;250)   The probability that P(X&gt;250) is obtained below as…

Q: - 31 0 -6 4 T3 1 0 07 - Let A 0 -1 -7 B 4 8 -4 0 - – . 4 1 -4 3 - |AB| = |BC| = II

A: Hi, thank you for the question. Since you have posted multiple questions as per our policy we will…

Q: -10 -4 3 6 Qs: A- Given A = L -4 and B = -8. 2 -14 -28 Prove that: - AB+BA = -7 14

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Q: 38) - con A) 0 sec B) 5π T, 13л 5т D) 0 3 12 12

A: Find the value of x which satisfy sec(x/2)=cos(x/2)

Q: μ1 = μ2 = 0, n2 = 27 and n1 = 19; thus df is:

A: Given that, μ1 = 0, μ2 = 0, n1 = 19, n2 = 27. df is degrees of freedom for testing the hypothesis,…

Q: Q4: Answer two only: 4 2 2 -2 Find AB and AC. A): If A = 01 0; 1 -1 1. 2 B = 2 -1 3 -2 2 4-1711 -2…

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Q: o(1- a2)"dæ : 2ª" (n!)² (2n+1)! 10. Show that for n =0,1, 2,.... (0! = 1 and

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Q: [2 1] Q2) Assume A = |1 3 .3 4] 2 4 1 and B = l show that (AB)' = B' A' 13 6 4] [

A: Here, it is given that  A=211334 and B=241364. We need to show that (AB)'=B'A'

Q: Simplify #28

A: The known fact is that

Q: 12cos^2(t) + 2cos(t) - 2 =0 0≤t≤2π

A: Given that 12cos^2(t) + 2cos(t) - 2 =0 0≤t≤2π

Q: 2 4 Q2) Assume A = |1 3 and B = show that (AB)' = B' A' 3 4] l3 6 4

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Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively ,Prove that S3=3(S2-S1)

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Q: e2a – 6e" – 27 = 0 - -

A: e2x - 6ex -27 = 0 here lets assume ex = y y2 -6y -27 = 0 y2 -9y +3y -27 = 0 y(y-9) +3(y-9) = 0 y+3 =…

Q: 13 + 33 + 53 + + (2n – 1)3 = n²(2n² – 1) - ... Ensure that you explain the steps taken.

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Q: 1) V2cot 0+3cot 0 = -2cot Ocos 0 + 3cot 0 47 3 5T A) 4 4 TT 3T 5T 3. C) B) 3 54'4' 2' D) 3 2'

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Q: 너 ()- 3s %3D O 3te-24 O 3e-24 (1 + 2t) O 3e-24 (1 – 21) O 3e (1 + 21) O n (금) O 6te2 O 31e2

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Q: -1 Given 4-3 x-2 0 0 2 x+1 and 14--5, Determine the value of rand (4)

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Q: z(k, l) = 4*µk+l. %3D essions of this form allows the conclusion z(k, l) = 4* f(k + l),

A: Given that, zk+l=4kμk+l                   (1)

Q: [2 1 Q2) Find B".A Where A = 3 0 and B = 6 [2 -2 1 3. 1

A: The given matrices are A=21-130-3  and  B=2-21013. Evaluate BT as follows. BT=2-21013T=20-2113

Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

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Q: (1 — 2х)2 7. r=s°(9 – s?) 8. у- (2 – 3x)*

A: Using differential,

Q: 2 P2(x) = 7 .2 =17 9. - - 2 2 9. P3(x) =|7 – 2 - 2 7 7 2 9. + 24 9. PA(x) = - - | 2 [72] Pn(x) =…

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Q: Find a formula for sn, n > 1, if sn is given by 4 5 7 8 8' 11' 14' 17 Sn =

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Q: 27TT 3. x = y2 and x + y = 2 is revolved about y = 1. (Answer: c. u.) 2

A: We need to find the volume of the region, bounded by the curves x=y2, x+y=2 which is revolved about…

Q: 2n+5 Sn= Зп-4 Find a1, a3 and EK=1ak 8.

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Q: Z1 # Z5 r X s Given: Prove: 12 3 4 S 7|8

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Q: [2 Q2) Assume A = |1 3 11 show that (AB)' = B' A' 6. 4 and B = 13 4. 213

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