#3.CoASider the randry v Probabit fom Wth y denst HL8 varable X fox) = X Fud FDX ECX] DISCRETE MATHEMATICS Otto Spence Vanden Eynden Dossey 5TH

Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: 4s +5 S -4

A:

Q: 3

A:

Q: (4) y=x +4 -5 -4 -3 6.

A: The given equation is: y=x+4

Q: (1-2=) dr

A:

Q: . 3류 - 2층 : 3% +4/3) 1

A:

Q: 3s – 7 s- 2s + 3

A:

Q: 7/2 + 3 4/6

A:

Q: %3D n+1 3 -2 -3

A:

Q: Find the rank of A = ( 1   -1   2   3)                                       2  6  -8   1…

A: Rank of Matrix : It is the Number of Non Zero rows in reduced row echelon form.

Q: こ (0) of

A:

Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: 3.9b + a3 + 27 - 3a2 + 5a3 - 2a2 + 2.1b + 7

A:

Q: y X (9, –3)

A:

Q: 1b+1b

A: Applying  addition operation since terms with same variable  binomial addition

Q: 5 3 + s2-8 s2+ 3.

A:

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

A:

Q: Evaluate 5 (²) 4. dy -2

A: ∫-2-1 (y-2)dy/y ∫-2-1 (y - 2/y)dy [ 2y3/2/3 - 4y]-2-1 -2i/3 - 4i +42i +42i -14i/3 +82i

Q: S-4 a(5-35 +16

A:

Q: Which of the following graphs represents the function g(x) = x²(x + 1)(x − 2)? 2 4 2 * 0 4 0 O 4 2 P…

A:

Q: 2x° 28 4y 28

A:

Q: 36-9z

A: Given that:36-9z

Q: (カナ) 2.

A:

Q: w + (-7), when w = - 1

A: The expression is given by w+(-7) To evaluate: The value of the expression when w=-1.

Q: Find the Partial derivative of f with respect to y for * 2. y² f (x, y) = x + y

A:

Q: 1 + 2n < n° for all integers n² 2

A:

Q: 4 1 x-1 4 | 45. +3 x-1

A:

Q: 1+4+6+8

A:

Q: w+5 -dw w - 6w+10

A: A detailed solution is given below

Q: find -1 2 5+1 s(5+1)²

A:

Q: Evalvate S (4sin co) -8cos co) )do

A: Given that: ∫0π(4sinθ-8cosθ)dθ

Q: –4(–6m – 7).

A:

Q: 6. 3 3 Let A= -4 1 and C= -5 0 3 -2 -1 Find A+ C.

A:

Q: -4 -2- 4 8

A: We are asked to find the horizontal asymptote and vertical asymptote. Horizontal asymptote (HA) - It…

Q: Z4×Z6 has an element of order 24. true or false ?

A:

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

A:

Q: -7 -5 Let A = Find -2A. 2] 1.

A: Given, A=-7-512

Q: -96 6 -7 A = -3 d 4A.

A:

Q: W+7/8=6

A: The given equation is W +(7/8) = 6.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.