2 zabsin(8).

Q: 31. | V36 — 9х2 dх

A: Use trigonometric substitution x=2sint.

Q: 5) V98

A: topic - numbers

Q: Q5. If P(AUB)=0.3, P(A)=0.6 and P(Bº)= 0.7 Find 1) P(ANB) 2) P(A/B)

A: We have given thatP(A ∪ B) = 0.3P(A) = 0.6P(Bc) = 0.7

Q: 2: Find: L-¹ [- S3 1

A:

Q: 3sin (y) xcos 4 dzdxdy

A:

Q: :: Find L-1 5+7 \s+7/

A:

Q: 9 IP A,Be Mnl(R) with A being nou-singular, show that (A-B) A-! CA+B) = (A+B) A! CA-B) %3D

A:

Q: 1.4.7. .(3η- 2) E(-1)" 7.9.11.......(2n+5)

A: Given : ∑n=1∞(-1)n 1.4.7.....(3n-2)7.9.11.......(2n+5)   To Find: Whether it is convergence or not…

Q: 2: Find: 1 [53 - 3] L-1[:

A: We are required to find the inverse Laplace transformation of the function 1s3-a3 i.e. ℒ-11s3-a3 .…

Q: (2) Ip xyl S1 or Cxy s0,0, Preoue the tollowing propedty

A:

Q: 9. Which of the following is equivalent to E-1(3i + 2)? [5(6)] 의 + 2(5) c. 3|2의 + 2(4) а. 3 b. 3°|+…

A: (a) option is the correct answer.

Q: 00 8tan-in Zn=1 n3D1 1+n2

A:

Q: Deiding Plyromials 2,2

A:

Q: (近-3) D34 ENone ofthese 4. Find . @ 10

A:

Q: -1 0. B = 1 3 4 A Let AB = ?

A:

Q: 3a + 46° – 5 = 3 (6) +4(2) – 5 ? ||

A: Solution: The objective is to calculate the value

Q: 14) kla) = -4* * 2; Find k(a – 2)

A: Given,k(a)=-43a+2Replace a by (a-2)k(a-2)=-43(a-2)+2k(a-2)=-43a-6+2k(a-2)=-43a-4

Q: If f'(t) = 9t² + e' and f(0) = 4. Compute f(3).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Σ 2" + 3" 4" n=0

A:

Q: /(r² – 8)5

A: Use substitution method to find the integral

Q: 10. Let a = (1,-1,2), b = (2,0,−1), and = (3,-2,0). Evaluate or explain why the expression is…

A: The vectors:

Q: 2(s – 4) 8) L52 – 8s + 25)

A:

Q: 6. to 16 2.

A: Our Aim is to solvex216+9x2=2x4-32+12-(i)

Q: 7. f : N2 → N.

A: (1) N2 ={(m,n): m,n∈N}     This is the sketch of the bijection f:N2 →N The curve which is traced on…

Q: 25-r r dzdr de 0.

A:

Q: O True (²7.¹7 (²77)) ²1¹7A (2)

A: This expression is False

Q: If P(A) = 3/4 and P(B) = 5/6, then P(A and B) = а. %3D

A:

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

A:

Q: le + 2*]dx - 2*r]dr 3.

A:

Q: Simplify 17. (n+ild (n-1)! 18. (3n+1)! (an)!

A: For expression 17:(n+1)⋅n For expression 18:3n+1Explanation:For expression 17:(n−1)!(n+1)!​We can…

Q: If ro)-3"6 then f'(1)= O a. 18In(6)+ 12 O b. 18ln(6)+12in(3) Oc 18ln(6)+24ln(3). Od. 18ln(6)+24 Oe…

A:

Q: Evaluate foxe*² dx . 2 0 a. b. OC. O d. 9 =/12 + C 2 2 (e⁹-e) + C (e⁹-1) + C (eº-x²) + C

A:

Q: dz 14. Evaluate S z(4+2)

A: Given: ∫dzz4+z23. Evaluate the value of the integral.

Q: Suppose A and B are independent and mutually exclusive. P(A) = 3/10. Can you determine P(B)?

A: GivenA and B are independent and mutually exclusive eventsP(A)=310

Q: 5. 3 2x = -9 Hint: the 3 is positive, the 2x is negative. Cancel the 3 first

A: Given equation is    3 - 2x  =  -9     We can solve it as shown in further step

Q: 23. Suppose P(A) = .40 and P(B\A) = .3O. What is the ioint probahilitu of A and B? %3D

A:

Q: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: Show that c12 2 dx = ln (7 + 4v/3). 8, Va2 – 8x -

A:

Q: 1 Evaluate dr. (포- 1)3/3

A:

Q: Assume 2 independent Binomial random variables, Binoт(пх,р) Y~ Binom(пү,р) X~ Part 1: Derive the MGF…

A:

Q: If the numberr of elements h=50 ৭০d । (6) = ५ and 1(5)3D41(h), then the numbor of elements -

A: Answer can be given using the simple concept of  probability.

Q: 3 dr. (1)

A: