1. Use the proof that m* ([a,b]) =b-a for real numbers azb. Use this to prove the same is true for the other cases of finite intervals (a,b], [a,b), and (a,b).

Q: (a) Consider the following function and its periodic extension: f(x) = sin z], where and F(x) =…

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Q: Let A = {1,{2,3}}. Find P(A), n(A) and n (P(A)).

A: The power set of a set is the set of its subsets. The expression nA represents the number of…

Q: 30 Evaluate (1 + i)

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Q: Find L{1}ℒ{1}.

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Q: -8 -9 4 -2 -6 5 -7 0 2 4 -5 -9 -10 -1 8 -3 6 -4 Add Work

A: You can only multiply matrices if the number of columns of the first matrix is the same as the…

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: 31/2 / 1/2

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Q: 4 3 Find A given that (21) = 2 1

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Q: Gventhe graphety=j(z)sekow.trd the waue /-4).

A: The given diagram is

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

A: I have solved Algebraically

Q: 3-11

A: Topic- basic maths

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

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Q: Find the term indicated in the expansion (x + 2y)6; third term.

A: Find the term indicated in the expansion (x + 2y)6; third term.

Q: For every football game there is a team that is expected to win by a certain number of points. In…

A: Given data n = 45 Here 1 = favoured team beat the spread = 18 0 = favoured team did not beat the…

Q: puls

A: 10+10 is 20

Q: Determine the vector field of F. F(x, y) %3D 6і — 3j

A: Solution :-

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

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Q: 2šr+e* dr

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Q: 198-33

A: Given: 198-33

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: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: Expand the expression for Mr Taylor.

A: The previous solution is incorrect. Please follow this one.

Q: 1 1 2 5 -5 1 -2 2 -3 5 -1 -1 2

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Q: 0218 X 17 (2) 600 x 38 131 784 X 44 (47664 X 18 157146X1

A: We need to perfrom multiplication.

Q: 3. - 1

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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: 22. Mary and four friends are planning a party. Mary is bringing apple slices. Each person will get…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: 2 10 8 1 0 07 -9 -8 - 5 0 1 0 4 9 0 1

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Q: In the following diagram below, what is the slope of line AB? 3.

A: Ans:   1) From the graph given we can see the values of A= x1,y1= 3,4 B=x2,y2= 0,0

Q: x/3+x/8+11/24

A: We have been given an algebraic expression and we need to simplify it.

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

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Q: 8) Expand the following binomial expression: (x² - 3)4.

A: o expand the binomial expression (x² - 3)^4, we can use the binomial theorem which states that: (a +…