Prove the following by using induction: 1(1!) + 2(2!) + 3(3!) +...... + n(n!) = (n + 1)! - 1, for n ≥1

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: 21 2. 6.

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Q: - Why is 1/z (z') equal to du/dx? - Why did you use that  integrating factor when it is not an exact…

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Q: A = 6 -2 -2 10 -3 5 1 ---3-0 C=0-2 a = 1, b = [3 08]. -10 1 . B 5 2 11 9 4 4 7 0 0 11

A: We have to solve given Questions.

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: Divide. 3x – 3 7x - 7 Sx2 24 (x - 1) 7x(x - 1)

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Q: b. N(0)

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

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

A:

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: 4n – 1

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Q: 6 2/5 + 1 3/10

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Q: 3 1/4 + 7 1/8

A:

Q: (5V3)2

A: Explanation of the solution is given below...

Q: 7/2 + 3 4/6

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Q: 22n+1 3n+1 2.

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Q: expand (a-b)7

A: The solution is given in the next step.

Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: *1.5.11 Add. - 4+(-5) = 4 + (-5) =

A: Introduction: Integers are whole numbers (that is, numbers with no fractions) that include negative…

Q: 9/12+3/24

A:

Q: 4/11+3/8

A: Topic:- simplification

Q: 3/8+5/24

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

Q: factors of 20 that add up to 9

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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: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: -3n in

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Q: 1 3 8.

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Q: 2/5 +7/12

A: Please see the answer below.

Q: (5/6)3

A: Cube means multiplying three times:   563=56×56×56=5×5×56×6×6=5363=125216

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

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