Consider the following ODE y" = 4y What is a possible solution (select all) Select one or more: O a. 2z a. e2r O b.e -2r O c. e* O d. 73e2z O e. sin(x) O f. cos(2x) h. -2e -2x

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

A: formula:

Q: Let G = (Z/8Z)x = {[x] | gcd(x, 8) = 1}, and let · be the operation on G given by [x]·[y] = [x·y].…

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Q: 30 Evaluate (1 + i)

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

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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

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

A: I have solved Algebraically

Q: 22n+1 3n+1 2.

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Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

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

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Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

Q: Find the coefficient of x4 in the expansion of (2-3x)6

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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

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

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Q: 1/4 +5/4

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

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

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Q: Question 3 Let f(x) = x3 – 2x? +1 (a) Find the remainder when f(x) is divided by x – 2 (b) Show that…

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Q: 1/5 + 1/10 + 1/15

A: Sum of numbers

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: ext dx 8X-X

A: We have to evaluate the ∫dx8x-x2

Q: 36 70

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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…

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

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Q: 17 8 15 Find show work please 2.

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

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

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Q: The expansion of 500P3 is

A: 500P3 is a permutation term that gives the number of ways of arranging different combinations of…

Q: efind the intergrationa

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Q: 3 S x²_9

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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.