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: factors of 24 that add up to 10

A: factors of 24 that add up to 10

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

A: formula:

Q: 30 Evaluate (1 + i)

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: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

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: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

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

A:

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

A:

Q: Expand (a −b)4

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: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

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

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:

Q: 3 S x²_9

A:

Q: Secă KosX

A:

Q: dt t²Vt² – 16

A: