Homology [edit ] Let P denote the pinched torus. The homology groups of Pover the integers can be calculated. They are given by: Ho (P, Z) = Z, H1(P,Z) = Z, and H2 (P,Z) = Z.

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

A: formula:

Q: 30 Evaluate (1 + i)

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Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 10 8/10 + 9 7/12=

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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: 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: 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: 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: ne binomial:

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

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Q: 5 2 4 6 71 8 141 10 235

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Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

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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: 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: 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: efind the intergrationa

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Q: 3 S x²_9

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