3. Determine whether the set S = {1 – t, t, 1 + t2} a. Spans P2 b. Is linearly independent с. Is a basis for P2

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: 21 2. 6.

A:

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

A:

Q: 2/5+4/8

A: We have to find the sum

Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: రం్ియ 20 5-6 a06 5a 3. 3.

A:

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

A:

Q: 3s – 7 s- 2s + 3

A:

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: 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: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: (1– 3csc(

A:

Q: find: (m+I) m!

A:

Q: 5 (4k + 3) k 1

A: Given,

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.

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

A:

Q: 3(m – 5) + m

A: 3(m-5)+m=0 3m-15+m=0 add both side 15 we get 2m=15

Q: y - Sy = 0

A: The given differential equation is: y''-5y=0

Q: 5 6 . Let B= 7 and C%3D 7 -5 4 -3 Find 4B- 3C. 4B 3C = || %3D 2. 3.

A: B=327-5 C=564-3 4B=4×327-5     =4×34×24×74×-5      =12828-20 -3C=-3×564-3         =-3×5-3×6-3×4-3×-3…

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.