In this poblem wewill derive the loinomial thaorem. 3. a)use separaton of variablas to solve the ihrtial value probleen- (4X)y-ay 0) Find the paver senes solution of the initial vaie probum e l 11 (tXIy y C) Explain why this shows (Itx +axt ala-x (a-1(a-2) + 171x1 3! 2 1 d) Show that if ne Nthis gives where 20 n! k! (n-K)

Q: 1 -3 4 1 Let A = 1 2 -3 2 4. B = -4 0 -2 [-1 2 5. Find Rank of AB

A:

Q: 3/20 + 13/15 combine.

A:

Q: A curve is given by the equation y = ln (2³+¹). x5

A:

Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: 4. 3*+4 72x-1

A:

Q: 3s – 7 s- 2s + 3

A:

Q: 2.3 Q13

A: The objective of this question is to use the Squeeze Theorem to show that the limit as x approaches…

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: 1) S7 (1+x*)²

A: Given: I=∫x3dx1+x42 For evaluating given integral, we substitute 1+x4=t…

Q: - 3 4 3 - 13 - 10 - 10 -3 Find the LU factorization of 9 L = U = II

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

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

A:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: ミ っa 9.

A: We find the value of r in above questions.

Q: 1 3 -2 What is the rank of 2? -81 -1 -2 -6 4 a. 4 с. 2 b. 3 d. 1

A: Given: The matrix, 13-2401-12-2-64-8 To find: The rank of the matrix.

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

A:

Q: Find the conjugate of the expression. √7-z

A: We know that if z=x+iy,x,y∈ℝ then conjugate of z is z¯=x-iy .

Q: 1 + 2n < n° for all integers n² 2

A:

Q: 4.) Which expressions have a negative product? Select all that apply. A. (-1)(2)(-3) B. -(-3)(-2) C.…

A: Solve the following

Q: The human resources director received 101 applications from people with the given information. 42…

A: Represent the given data in the sets notation. Total number of applications is 101. nμ=101 Number of…

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: find: (m+I) m!

A:

Q: 29 Using the combination formula expand (5+x)

A:

Q: 5 (4k + 3) k 1

A: Given,

Q: Prove that n² +n is divisible by 2, where n E N.

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Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: A. 3- 2x 2 x B. (2 - x) 2 3x C. 3(2 - X) 2 3x D. 3-2x2 3x 32. Six is at least the product of three…

A:

Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint

Q: 3. (x³ + 4x² –x – 1) + (x + 3)

A: Here we have to divide two polynomials as shown.

Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: 5s – 6 Find L s² – 4s + 7.

A:

Q: (7) (-4) + (-4 × 6) x

A: We need to solve algebraic quantity.

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.