q23- Suppose that P(M) = 0.6827, P(N) = 0.6437, and P(M υ N) = 0.6752, then P(M ∩ N) is: a. 0.3256 b. 0.4341 c. 0.6512 d. 0.7799

Q: 3. Evaluate || (3y+ 2x“) dA, where R = {(x, y) E R² : |x|+|y| < 1}. R.

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Q: Suppose P(A) = 0.24 and P(B’ ) = 0.48   (a) Find P(A ∪ B) if A and B are independent. (b) Find…

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Q: Suppose X ∼ B I N ( 6 , 1 3 ). Find P ( X = 2 ). Express your answer as a decimal rounded to 4…

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Q: If %₁ 7e45i and z2 = 300i, then the quotient = 22 X.

A: The given complex numbers z1=7e45i and z2=e300 i. To find the quotient of the complex numbers z1z2.

Q: L-1{1} = Select one: O a. d(t) O b. Zero O c.u(t) O d. 1 ||

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Q: | 0 0 1 1 1 00011 0 0 0 0 1 5 (If the arithmetic for computing an entry involves huge powers, you…

A: As per bartleby guidelines we are allowed to do maximum of 3 subparts

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: 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: pV9-(In x)? dx = %3D e-3 Select one: a. TC 2. b. C. 3T

A: option A is correct

Q: 6) In a town whose days after the disease has begun is given by the function population is 3500, a…

A: In a town whose population is 3500,a diagram creates an epidemic. The number N of people infected…

Q: Show that m > (2). m! = (2″ − 1)(2″ − 2) (2¹ – 2²)... (2¹ — 2n-1). -

A: The given problem is to show the following condition m&gt; nC2 for the given inequality.

Q: (c) Check whether or not: Q (2¹/³) = Q(4¹/3) Also obtain (Q (2¹/³): Q].

A: We first find [Q(2^(1/3)):Q]  Then using this prove that Q(2^(1/3))=Q(4^(1/3))

Q: 3. Suppose Pr(AUB) = 0.65, Pr(AUB) = 0.75. Find Pr(A).

A: Introduction: It is required to find Pr (A).

Q: Find y" if y = (1+1)²+√√t when t = 1. a. 3.5 O b.2.25 O c. 2.25 O d. 1.75

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Q: Prove from the definition: n3 + 65n2 + √n = Θ(n3)

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Q: Given that Pr(A ∪ B) = 0.76 and Pr(A ∪ B') = 0.87, find Pr(A).

A: Solution: From the given information,

Q: Which of the following functions V(y₁, Y2) is a Lyapunov function for the dynamical system with…

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Q: e) 36x* - 13x +1= 0.

A:

Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: a. b. INGIN IN C. + S (S-1)² e35 + 5-1 e-3s S 5+1 d. None of the above L{2+ (t-3)et-3 U(t-3)] = +

A: Consider:  L2+t-3et-3 Ut-3=L2+Lt-3et-3 Ut-3 Now, L2=2L1=2×1s                      since L1=2s So,…

Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

Q: Q73. If P(A n B) = and P(A' n B') = ½³, P(A) = p and P(B) = 2p then value of p is :

A:

Q: Find d = gcd (270, 105) and hence find integers x , y such that d = 270x +105y .

A: GCD stands for greatest common divisor for two or more numbers.

Q: III. What is the image of the line with equation Y = 5X +7 under op, where P = (-3,2).

A: Given y=5x+7

Q: Compute e-1/z ₁-3+1° -dz, and $ e¹/2² |z-i|=3/2 2² +1 dz.

A: Concept Used If a complex function f(z) is analytic within and on a closed contour c inside a…

Q: 3. Suppose Pr(AUB) = 0.65, Pr(AUB) = 0.75. Find Pr(A).

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Q: Substitute b in (2) to (1

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Q: Theorem = 7 K 51 M 25

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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: - - Let ã = 9i – 4j – 2k and b = −6i – 1j + 3k. Find a b • -

A:

Q: : Given the following table find x3.fo.Af, A. 11 fo j 0 2 on xj 4 4 20 14 30 Af. 30 Af₁ Afz A²%.…

A: note : Since xi is an external variable, we can't find the value of x3 from the table as it must be…

Q: 1. Given 3a = 2a = 45s Find i.

A:

Q: Q: Examine y (o.4), Using Runge - Kutta Order 4 method if X = 4n + 2

A: Given y′=4x2+2y,      y(0)=1,   h=0.1,   we have to find y(0.4).Forth order R-K…

Q: e 2x 1+ ex dx

A: on solving this we get

Q: let x be have P.dif 0 < x <3 f(x)= ={th find The U.b. of P(IX-M73) and find The L. b.

A: Please see below