3-10 Find a power series representation for the function and deter- mine the interval of convergence. gainat 1 3. f(x) 4)f(x) 1 + x 1 - 4x? 1 5. f(x) the %3D 3-xaniwollol s to 6. f(x) = x + 10 c

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A: The given discrete probability distribution is,x2345P(x)0.100.700.09

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A: We can find the difference as below

Q: Solve the following equations 3x+5 a). X-4 20 b). x2-4x+7 = x+ 2

A: Solution:-

Q: 1) V29 2) Vr12 3) V16x7y5 x100 50 7) V y200 4) V(3x – 2)8 (Зх — 5) V25(x + 2)2 8) V32y725

A: Simplification

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A: Following cases are determined as shown below

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Q: Solve the following and briefly explain how you solved the problem. a. Ken Ken

A: To  solve ken ken

Q: compose a problem after exercise (24:6)+(32:8)+(81:9)|

A: Given Expression: (24:6)+(32:8)+(81:9)

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Q: Problems 7-13: A) Explain B) Illustrate and C) Solve. 6 15 7. Convince me that 2 5 5

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A: This question from topic number theory

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Q: Evaluate and show complete solutions: 4 3 -71 5 1 12 1-22 -9 17 7 + 12 0 3 1 8-2 5 29

A: We want to calculate 43-75112-22-917 ÷ 731128-20529

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.