au au Q2) given the heat conduction equation at ax Where i) u(0, t) = u(4,t) = 0, t > 0 (the boundary condition) 0

Q: 3. √11

A:

Q: Find (+72+6) dz + C

A:

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: రం్ియ 20 5-6 a06 5a 3. 3.

A:

Q: 10. (x² – 2y)³ 3

A: Given,          x2-2y3

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

A:

Q: Find m2C and mZD. B. (3c - 17) (c+ 1) A

A:

Q: Max 3A + 2B IA+IB ≤ 10 3A +1B ≤ 24 1A + 2B ≤ 16 A, B 0

A:

Q: 6-7:

A: 6-7=-1

Q: Multiply. 3 x-4 3 3 2 X+4

A:

Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

A:

Q: a) : ?

A: here differentiate both sides with respect to x.

Q: to 2A+7 n-1

A:

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: 1x x*-5 =xp C O None of the other choices

A:

Q: 2070 = (16a + 10)15

A: 2070 = (16a+10)15 And (16e+11)17 =3723 To find  the values of a and e

Q: 9. (x² – 2)3

A:

Q: Simplify. [(21)4]² 1615 Enter your answer in the box.

A:

Q: Find Σ +i . Ο 30 Ο 31 Ο 32

A:

Q: 28 Σ

A:

Q: Fully simplify. (2/-54)(10/48)

A: The detailed solution is as follows below:

Q: |番,曲 1 dx (r-2)² 5. 2.

A: Given :

Q: (1+2 In æ)4 6.

A: topic - indefinite integral

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

A: Given that: ∫0π(4sinθ-8cosθ)dθ

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

A:

Q: What is the least common multiple of 12 and 2? lcm (12,2)=(

A: Algebra

Q: 2r dr (1 - r)"

A:

Q: -3 -2 -1 1 2 0000000 3.

A:

Q: /2 2. 1/2

A: (a12+b12)(2a12-3b12)=2a12a12+2a12b12-3a12b12-3b12b12=2a+2a12b12-3a12b12-3b=2a-a12b12-3b

Q: 3x Зх- 11 A E x +9

A:

Q: х ах 2(5+x²)4

A:

Q: Show that a6-1 is divisible by 168 whenever (a, 42)=1.

A:

Q: 1) 2 J0 (1 – 9ry²) dy dr

A: For the given double integration , first we gonna solve for dy then dx.

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.