Theorem 3-7. For n events A, Az, ..., Ag, we have P(U a) = E P(A.) – EE P(A, n A) + EE P(A;nA;nAd) i-1 1sicisn Isiej

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: (4) Use standard multiplication to multiply the two sexigesimal numbers 11, 4; 17, 9 and 50, 50: 43,…

A:

Q: (4) Prove in two different ways that if a is a positive r number, then (a + 1)" > a" + na"-1:

A:

Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

Q: Prove that (1, 2) (1,(1), 2, 3).

A: We know, if A and B are two sets then, A is subset of B  if every element in A is also in B.

Q: Use proof by contradiction to prove that if x + y > 2, then x > 1or y > 1 (or both).

A: The method of contradiction is used to prove a statement or a set of statements. The inverse of the…

Q: Let A = (-0,0), B=(0,0) then AUB=

A:

Q: From Leibnitz theorem °C=

A:

Q: Show that A = has two different factorizations of the form A = L · U where L is lower triangular…

A: Given: A=0001. To show: A has two different factorization of the form A=L·U, where L is lower…

Q: 6x 3x 5y 2. 5y 6x-4 3. + 3r+8 1ly 11y

A: Given that: 6x5y-3x5y To solve, Apply  rule:  ac±bc=a±bc6x5y-3x5y=6x-3x5y=3x5y

Q: 1- Suppose A=

A:

Q: verify that (A + B)T = AT + BT

A:

Q: (2) Find all the numbers z such that elz = 10i.

A: Consider the given. eiz=10i

Q: its saying that D is wrong and so is fxi

A: Right endpoint method: The area under the curve f(x) on the interval [a, b], withn rectangles is…

Q: Find the Re and Im parts of exp(z?)

A:

Q: Prove Equationally that F A → B → A.

A: Given: ⊢A→B→A

Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

A:

Q: 1 5. What is equivalent to 81

A:

Q: Let 1 2 3 1 A = | 6 -2 3 and I3 =| 0 1 5 4 1 If 2. is a real number, compute 2I3 – A.

A: A = 1236-23524 I3=100010001

Q: 3+4i30 -2+i 2-i 5

A: To prove the equation 3+4i302-i=-2+i5 to prove it start from the left hand side and deduce the right…

Q: beta

A: According to the question,        First,  define some of the terms for…

Q: (x+1)(x-2)². On what interval (2) (x - 5) let g"(x) = is g Concave up? (Note: you are given g" but…

A: g''x=x+1x-22x-5

Q: nd y axsis labelled ?

A: Morphospecies on A Morphospecies on B Morphospecies on C 7 13 3 7 9 4 2 4 4 4 4 2 11 14 10…

Q: MA Let r [-1. 1] and F(x) = f, f(t)dt. where the function f is defined by 1. if x > 0. f(x) = { 0.…

A: f is not continuous at x=0.

Q: Find all values of z such that z5 =1 - i.

A: Given: z5=1-i, To find: All values of z.

Q: Use part one of the fundamental theorem of calculus to y = 3x + 7 t 1 + 1³ dt

A:

Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j

Q: Let x, y, and z be real numbers. Prove the following a. -(-x) = x b. (-x) * (y) = -(xy) and (-x) *…

A: I have provided detailed proof for each question in the Explanation section.Explanation:Let's go…

Q: Prove that (1+i)" + 1(1- i)" = 2m/2*1 nt cos 4

A: