Let X be a random variable with pdf given by 0, >-{_-_-_-(- exp 2πx³ fμ (x) = ( - (20-14) ² 2μ²x x < 0 x > 0.

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)

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A: Given 1/3 + 2/9

Q: Find L{1}ℒ{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: 22n+1 3n+1 2.

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Q: 9 – 4x > –3

A: The given inequality is 9-4x&gt;-3

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

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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: find  3/4 + 1/8

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Q: 50/21 simplest form

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

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

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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: 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: expansion of (1-2m)“

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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: 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: 1/20+1/10+1/4

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Q: efind the intergrationa

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Q: 3 S x²_9

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Q: Secă KosX

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Q: -11/16 + 3/4

A: The given fractions are,

Q: dt t²Vt² – 16

A: