Example 52. Let X1 and X2 have the joint pdf Find a) the joint pdf of Y1 = X1- X2 and Y2 = X1 + X2, b) the marginal pdf of Y1, c) the marginal pdf of Y2. %3D %3D

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

A: formula:

Q: 30 Evaluate (1 + i)

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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

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Q: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

Q: 1 7. 27 2.

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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: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

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

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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.

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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: 10. 15gr, 20s

A: Given

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: 1 3 8.

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Q: 29 Using the combination formula expand (5+x)

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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: 22 7/8 - 7=

A: Given,

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

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Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

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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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