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

Q: D) If flx) = -x -11 ; find the following. 1) 4A-2) +5A(1) 2) 3f(5) × f(2) %3D A9) 3) -5(12) - 2f-9)…

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

Q: answer

A:

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

Q: L[sih bt) 2.

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

Q: Compute / z(r +2) dr. + 2x) +C +z² +C +C O z°(z² + 2z) +C O z° +z? +C

A: Given

Q: Let u = (1, 0, 2), v = (0, 1, 1) and w = (2,1,0). Which of the following statements are true? (i)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 5. Use geometry to evaluate (V4- x² dx 2 O 2n O 4t

A: Solution:

Q: Q2: Prove that: d csc-(InVx) dx -

A: The main objective is to prove ddxcsc-1lnx=-12xlnxlnx2-1. It is known that ddxcsc-1x=-1xx2-1.

Q: y = √2+7tanz

A: y=2+7tan⁡x

Q: B 11 13 b.) Find ZB 33 A

A:

Q: 11 - d 18t7 dt dx 1 a) O 12x5 b) c) O 18x7/2 4 e) O 9x3

A: The correct option is (e).

Q: S V64 x da 3 x 2 +c 16 None 3 16 x 2 +c 3 16 x 3 +c 3 2/3

A:

Q: 1) Let 1 = f²f²e-³x-2y dydx. Then / = e-12-26-41 b. +2e-*- 3 d. None of the above

A:

Q: b? – a? x dx 9. - Proof Prove that 2 a

A: This can be proved using Fundamental theorem of calculus. The second part of the theorem is used.…

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A:

Q: 3. с) x2 -7xy + 10 x2 +xy -6y2

A:

Q: 22 +3 z* – 22² + 1 8. Evaluate +el/dz, C: |z-i– 1|=2, CCW.

A:

Q: t3 dt 6) f Vt2 + a?

A: Given Data The integral is     Let,

Q: 1. If i = [2,-4, −1] and v = [1, −2, 4] find: a) 30-u c) Find G, where F(2, −3, 4) and FG = 3v b)…

A:

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

A: We need to fin the substitution for 'x' to evaluate the integral: ∫x2-49xdx

Q: 5х Calculate: dx (x² + 5)² 5 + C x2 + 5 a) O- + C 4 x2 + 20 b) + C c) 4 (x² + 5)² + C 2 x2 + 10 d) 1…

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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: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

A:

Q: 2x + 1 3 – 4x Consider the function y = f(x) a) find Ax + h) simplify fully Ax + h) – Ax) h b) find

A:

Q: ) fx)= 3x"+会

A:

Q: find a) (fogJ) 5)Cgof)c) f Ge) = 3x+1 (2) 2x-1 3.

A:

Q: dv S (v2+v)(v-1)²

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 3ey , find Given z = dz dz au

A:

Q: Evaluate V3 dx 1+x2

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT S e 2xdx +) Sex (2x) da 5x+3x x) my (20x+3) dx

A:

Q: x2 1 dr dy = a° In(1+ x² + y? 3

A: