dn (Inx anlnx+bn It is given that () where an and b, depend only on n. dxn xn+1 Use the mathematical induction to establish a formula for an.

Q: 17. Given R ={(2,3), (3,3), (3,5), (5,2), (5,4), (5,5)} on the set {2,3,4,5). Find * R-1 А. (2,3),…

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Q: Ans Ans Ans Ans = Ans= B A D C B Resolve 7x-25 (x-3)(x-4) -25 -3)(x-4) into P

A: Answered Explanation:Step 1:Your question was not cropped properly,it seems you are asking for…

Q: Let a, b e Z. If both a and b are odd, then 5a+b is even and a+4b is odd.

A: Proof:  Given that a and b are odd Let a=2k+1 and b = 2m+1 for some  integers k, m  ∈Z Now,…

Q: Find the quotient x + 4 x + 4 x² – 9 x2 + x – 12 | x - 4 x + -3, x + 3 x + 3 х — 4 x +3 x – 3 x +4 x…

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Q: (-i)a is e(1+4n)i wheren is an integer. where n is an integer. O equal to the above O equal to the…

A: Any complex number, z can be written in the form of  z=reiθ . The complex number i can be written as…

Q: 3a Simplify 2a +5 Select one: O a. O b. O c. O d. a +6 9a a+2 5 2a +5, a = 0,2 a +6 6a +15, a = 0,2…

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Q: What is the coefficient of xy- (the third term) in the expansion of (2x + 3y)'? 6. O -18 O 18 O 54

A: We have to find the coefficient of xy2 in the expansion of 2x+3y3.

Q: (x²+1) 1/3 OD. D. (x+,x) oc. O C.1/3,3 OB. (x+x) OA. O A. 1/3, 10 x: X 0/3 1/3 Factor the given…

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Q: [2 1] 4 and B := [o 3 Let A := 3 Find: (a) AB (b) BA

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Q: Find the adjoint of the operation B = 2|0 × 1|- ; | 1 ×o |

A: This question asks to find the adjoint of the operation B^=2|0×1|-i|1×0|.

Q: 3 So² √(√₁² - ²√₁²³) ²³ a dt

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Q: decide if the given statement is true or false,and give a brief justification for your answer.If…

A: Given the statement:

Q: Najabhai

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Q: Let B- 3n - 2m :n, m EN Then inf(B) = nm

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Q: Find x if x is not -6, and 9/12 = 5/(6+x). ______________

A: The equation 912=56+x

Q: Which of the following is a false statement? In the expansion of (a +b) the coefficient of a b° is…

A: We have to choose the false statement.

Q: Sh Evaluate (30 – 6x) dA, where R = [0, 5] × [0, 3].

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Q: Find the 7th term of 2+ 2 Write the 5th term of (x + y)1º.

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Q: 8√Z S sec³(s) ds 3/7/2

A: let  A=782∫sec3(s)dswe know  1+tan2s=sec2sA=782∫sec(s)sec2(s)

Q: 5. Which of the following is (a) n! n=1 80 (b) n=1 (c) E T=D1 (d) -1)" (2n)! T1

A: We have to find out the power series

Q: 12 + 4j express both (a) – and (b) z +- in the form x + yj. If z =- 9- 7j ... (Simplify your answer.…

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Q: If x1=2, Xn=4X(n=1)–4n Vn22. Find the general term xn

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Q: dx * Evaluate x(x + 1)

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: Use the method of difference tables to find a closed formula in terms of n for the > i(2i – 1).

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Q: - Find N, where M=(5, 9, -3) and MN = -3[2,3,4]

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Q: 3+36X+14=13 Determine the number the ru Of real solbH fon

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Q: n k21 k²-k Find the product I k2 k=2

A: We will solve the given expression

Q: Let S = { 1 - (-¹)" | n € N}. Determine inf S and sup S. Justify. n

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Q: n+2n Show that represents an integer Vn EN.

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Q: dy 7 +10y=0 is The CF of the d? dx O a. None of these O b. C.F. = (c +c,x)e* -3.x O c. CF=e2x + esx…

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Q: 21 3 L 1-6 J Determine all values of a and b so that

A: To determine all values of a and b so that 12a03b-41=-561216. Solution: Two matrix are equal if…

Q: y'dx 79-9 = Sx dx fr dr. Use the formula fon axtb the left side. In (ax+b) to evaluate a In (79-y) =…

A: ∫y' dx /(79 – y) ∫dy/(79 – y)

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.