2. Find ( +x) dx, where B> 3. 27 a) 2 2 b) В2 + В— 12 27 c) 1 1 3 d) 12 – B² – B e) None of the above

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A: I am attaching image so that you understand each and every step.

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Q: Given 5 O a.) 5 O 5 f(x) dx = 12 and 6 [3f(x)+2g(x)]dx + f(x)dx O O b.) 10 c.) 40 5 d.) 32 = 12 and…

A: I am attaching image so that you understand each and every step.

Q: Solve for the following: a) Var(2X−5) when X ∼ U {1,2,…,20}. b) Var(3X−4) when X ∼ U {1,2,…,30}.

A: Given,X~U(1,2,.....20)minimum value=1maximum value=20f(x)=120-1f(x)=119         ; 1≤X≤20

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A: From the definition of Laplace, L(f(t))=Fs=∫0∞fte-stdtSo,L(sin(bt))=∫0∞sin(bt)e-stdt Let,…

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A: Given

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A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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A: we need to integrate the given function ∫4x3+11x3dx

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Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

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A:

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A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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A: topic - indefinite integral

Q: (8) To evaluate f √√x²-49 x -.dx we substitute x = A)7 sec8 B) 7sine C) 7tane D) 7cose

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Q: dz F|=1 2. C: -국X=+ 2)

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Q: (x - 1) If 1 / ² ) = = √ Ada² + √ dx [ B (x − 3)(x + 7) - 3 - then A+B = Bdx x +7'

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Q: x = 36, y= -8 and z = 2. Evaluate each of the following and simplify your answer.      a)…

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Q: 12. Solve for x. a) 를x-3=x+ 2 b) 쓰= c) (x +1) = (x – 3) x+5 2x-1 3 d) -5(x + 1) – 2(x + 1) = 3(2x –…

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A: we have to derivative with respect to x

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A: Given 2tanx+4y=4 Taking derivative with respect to x, we get…

Q: ) fx)= 3x"+会

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Q: If | f(X) DX = 37 and g(x) dx = 16 | 2f(x) + 3g(x) dx is equivalent to: so 0.

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Q: Solve the following DE: 1. (D² – 3D + 2 ) y = 4x?

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

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Q: Paragraph 12) S, dx Sx+7

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