1 Substitution Solve the following initial value problem by substitution = x1 + 3x2 4x2 x1(0) x2(0) = 7 %3D = 8 %3D

Q: -48 6

A:

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: -5 dx Evaluate 2x 10 A B c) 1 (D) 2

A: formula:

Q: 30 Evaluate (1 + i)

A:

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 6/4 - 2/4

A: Explanation and solutions is given below.....

Q: 100 Find the coefficient of x10 in the expansion of (2x +;

A: To find the coefficient of x10 in the expansion of 2x+1x100 we will use(r+1)th term in the expansion…

Q: 1 1 dx 3 5 x +x4

A:

Q: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: Write the binomial expansion for (x + 2)°. (x+ 2)° =D

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

Q: find  3/4 + 1/8

A:

Q: 18 2h 6h

A: Find the value of h  For which two line segments are equal

Q: 50/21 simplest form

A: Compute the simplest form of 50/21.That is, divide 50 by 21.

Q: Find the 7th and 11th term of the expansion (y − x)^14

A:

Q: 1 3] [1 3 3 0 -1 2. 30 2

A:

Q: 1/4 +5/4

A: Solution: The objective is to find the value of the given expression

Q: ミ っa 9.

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

Q: Find a if the 17th and 18th terms of the expansion (2 + a)5⁰ are equal.

A:

Q: find the slopet y-intercept the line 2.

A: Given equation of line is  2x+3y=24

Q: Write the first, third and fifth terms of the expansion of (3x – 5y)5.

A: Write the first ,third and fifth term of the expansion of (3x-5y)5.

Q: 42 -13

A:

Q: ext dx 8X-X

A: We have to evaluate the ∫dx8x-x2

Q: 36 70

A:

Q: In the expansion of (x + 4/x)12, find the term without x. a. 63 360 C. 506 880 b. 126 720 d. 3 784…

A:

Q: Find the coefficient of x8 y18  in the expansion of (1x2  -4y6)7

A:

Q: Write the binomial expansion of (2x – 1) as a polynomial in simplest form.

A:

Q: efind the intergrationa

A:

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.