Let E = [4₁- (-1)^, ^EN^}] nE~} n find inf 8 and sups

Q: Let x be a language examination score data. If x N(60, 102), find Pr{x > 70}.

A: The given question is related to Distributions. The solution to the question is explained below.

Q: 2

A: To find, L-11s2+13 The Convolution Theorem is given as, If L-1f¯s=ft  and  L-1g¯s=gt then,…

Q: 2. ~P → (~Q ^P) P F F T F F

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Q: Find

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Q: Find The Valle f X 十 キ

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Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: Consider the function g∶Z⟶Z defined by g(n)=n^2+1. Find g(1) and g({1}). Then find g^(-1) (1),g^(-1)…

A: According to the given information, Consider the given function defined as:

Q: (n, 15) 1 and o(n) = 56, find o(75n).

A:

Q: If M= (16x^8y^-4)^1/4 / 32x^-2y^8, determine values for x and y so that a) M=1, b) M<O

A: The objective of the question is to find the values of x and y that satisfy the given equation under…

Q: (4³ + 6)%,' = x^(,5 + 6)5 y

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Q: 3. Divide x+4x-3x-2 by X-2) then divide if CX-2) isa factor of x² t4x-3y-2 why?

A: We have to divide (x3 + 4x2 - 3x - 2) by (x - 2)  Then ,

Q: Suppose that...

A: We are given: f(2) = -3 , g(2) = 4 , f'(2) = - 2  and  g'(2) = 7  Now, based on the given four types…

Q: Suppose P is the invertible and A = PBP^-1.  Solve for B in terms of A.

A: Do an algebraic manipulation of matries by multipliation.

Q: Prove or disprove: 3n = ω(2^n ).

A:

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: x : x is a natural number less than 10​}

A: Write in explicit form

Q: Compute L^−1{ 2e^−3s/s^2+3s+2}

A: Given,            L-12e-3ss2+3s+2

Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

A:

Q: Find the length of (3e' – 3, 4e' + 7) for 0 <1< 1.

A: Arc length of a curve between two points is the distance between the two points with the restriction…

Q: Compute *In (9)/5 Jo e5x (e5x + 8)5 dx.

A:

Q: Use 50 rectangles to approximate the are under the graph of f(x)=3** on [-2,2].

A: Area under the curve using left end points : The area under the y=f(x) over the interval a, b is…

Q: How do I differentiate this?

A:

Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: use the Pascal'striangle to expand (x+y)^(4) For f(x)=-45x^(3)-5x^(5)

A:

Q: Let p = 1, q=1, r=0 Find value of the following expression (p^q) v ((p ^r) ^ (q V r)) =

A: Note that 1Ʌ1 = 1 1Ʌ0 = 0Ʌ1 =  0Ʌ0 = 0   0V0 = 0 1V0 = 0V1= 1V1 = 1    We have given p=1, q=1, r=0

Q: Residue of (10e^st)/((2s^2 + 3s +1)(s^2 + 1))

A: Given function is f(s)=(2s2+3s+1)(s2+1)10est​.Step 1: To find residue first we find the…

Q: Find domain of the follaw ing fanctionss (^) f(x)= In-2) (6) 67 F=

A: fx=lnx-2 the log function is defined for only positive real numbers so the value of x-2 should be…

Q: if f) = (1-;),0<x< 1,then f(x)is p.d.f. true O flase

A: In the given problem,

Q: Let 43^(55) + 55^(43)= 7q+r, where q and r are two integers such that 0<=q<7. Then r is equal to?

A: Let 43^(55) + 55^(43) = 7q +r, where q and r are two integers such that 0&lt;=q&lt;7. Then find the…

Q: Iff

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Q: Find e^z in the for u + iv if z = 11πi/2. (use 3 decimals)

A: Given z=i11π2 We have to find ez in the form u+iv

Q: 1/(x−2)≤1/(x−7)

A: We move both terms on one side and subtract using LCD.

Q: Let X ~N(10,5^2). What is P(X>3)?

A: