10 Prove that P(E U FU G) = P(E) P(F) + P(G) - P(E FG) P(EF€G) - P(EFG) - 2P(EFG)

Q: Exercises(4) 4.1 Select True or False for the following arguments : 1. (PA(p4))H9 2. (Pq)nq)P 3.…

A: The objective is to state whether the following statements are true or false. 1. p∧p→q↦q2.…

Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

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Q: answer

A:

Q: 3. Given 1 2 [2 1 A = -4 -4 -4 and B = -2 5 6. 7 1 2 -4 Find (i) A? (ii) ВЗ (iii) ƒ(B) × g(A)

A: To find A², B² and B×A for the given matrices A and B

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…

A:

Q: If F(n) = Σo(d) then F(175) d|n

A: What is Sum of Divisors: For a positive integer n>1, the fundamental theorem of arithmetic shows…

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). u = (2, -2, 4), v = (0, 7, 4) (a) 2 (b) 24 u. V UU (c)…

A:

Q: Suppose that f(x) O a) Ob) O c) 3 (12)+12 3 3(37³12)-1 7 3(3-1)+2 3 d) 3(3-1)-1 - 3 2³12 and g(x) =…

A:

Q: Provide an appropriate response. Find f(x) if f(x): and f(1) = 4. Select one: O A. -28x-5+ 32 7.…

A:

Q: Find the L(e2" (1+ t)²). ,2t a) + (s-2)* 1 b) + (s-2)2 2 (s-2)3 (s-2)2 c)+2 (s+2)³ (s-2)? d) +…

A: The following formulas can be used to obtain the Laplace transform.…

Q: -25 -3e c) s+2

A:

Q: (d + g) Q² + (e + s) PQ = a (d + g) PQ+a(e+s) P² + (b+ f) Q+(c+ r) P. (15) By subtracting (14) from…

A:

Q: Determine whether the following statements are true or false. Briefly justify your answer. (a) A €…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Determine £¹{F}. F(s) = 7s²-18s+7 s(s-7)(s-4) ***

A:

Q: if g(6) = 8 and f(8) = 25, then (f ∘ g)(6) =

A: if g(6) = 8 and f(8) = 25, then (f ∘ g)(6) = Given g(6)  and f(8) values , find out the composition…

Q: P(ANB) = P(A)NP(B).

A:

Q: Let G = (Zio, X10) then o(G) is (A) 2 (B) 4 (C) 5 (D) 10

A: If G is group then it satisfied closure law

Q: (a) Show that for n> 1 we have F2 = FnFn+1 − FnFn-1. (b) Use part (a) to show that F² + F² + . + F²…

A: Fn denote the Fibonacci sequence, satisfies Fn+1=Fn+Fn-1.              n≥2 And         F1=0,…

Q: X2, ..., Xn, y1, y2, ..., yn, then z is equal to x (A) x + y (B)*+ỹ (C)*+ÿ n (D) x + y 2n

A:

Q: 29 19 f(a) - f(=) = / f(2) 10 10 whoro ond h

A:

Q: dx 16. S 9x2-4 |3x+2 A. In +c B. In D. tn +C + C + C |3x+2 |3x+2| 3x-2

A: This is basic integration problem

Q: Find u x v, v x u, and v x v. u = (5, 6, -4) v= (-6, -9, -8) (a) ux v (b) v xu (c) v x v

A:

Q: 2. Let p(r) 2r-3r +3 and A = Find p(A). 6. %3D 8 6. 0. (b) p(A) = -2 8 2. (a) p(A) = (c) p(A) = %3D…

A: To solve the given linear algebra problem.

Q: e (t + 5t- 2)

A: Given, e2tt3+5t-2. The given function is can be written as, e2tt3+5e2tt-2e2t, By applying Laplace…

Q: A B D (i), (iv) (i), (iii) (ii), (iii) (i), (v) (ii), (iv) Find U10 and U12: (i): U10 = {1,3,7,9}…

A: Answer is A

Q: A B D E (i), (iv) (i), (iii) (ii), (iii) (i), (v) (ii), (iv) Find U10 and U12: (i): U10 = {1,3,7,9}…

A: Please find attachment