Let o f(x)dx = 9, S f(x)dx = 9, Jo f(x)dx = 8. Find S (9f(x) – 9)dr =

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A: The given equation is

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

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A: The Leibnitz rule for differentiation under integral sign is,…

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Q: 3. fy dy + 10g = e + dt +7 -2t

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Q: Q4. Evaluate : O (xy²) dx dy -√1-(x-1)²

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Q: Q4 Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) %3D x²+1

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Q: Q3: van fy = xy-1+ x.ln(x) J f(x,y) = x' + y* if it was

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Q: =Q3: if f(x)= xy+2x-5y =2 then dy/dx *

A: f(x)= xy+2x-5y =2 then dy/dx

Q: Q2: Find the for the following functions: dy dx 1. y = 1- and t = 1/ 2. y [In(x² + 2)²1³ 3. y = xsex

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Q: 27. Select the correct one SEF (x)dx S% \f(x)\dx, | - Sif(x)dx < S%\f(x) |dx,

A: Given- Consider the all options given below, To find-  The correct one in the above options.

Q: N= 8%° + 3s $1

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Q: Q4 Find dy for all of : dx 3 x(x-2) 1- y = xvlnx 2- у %3 V x2+1

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Q: So(VE + vZ)° dx = f° xdx - (Vã + vZ)dx • f;(Vã + v2)dx 6. So x(x² + 1)dx = - S x*dx + f, xdx 7. S'…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: S dy S f(x, y)dx

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Q: Find d^2y/dx^2 for; x-t^2 y=Dt^5-2t^3+1 *

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Q: 2. Suppose that . f(x)dx = 9 and S g(x)dx = 4. Find the exact value of 2f(x)dx.

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Q: Find the G.S.of the DE. (ytu dy=D0

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Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

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A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

Q: A. Evaluate Inx dx. 2x B. Evaluate [(7x-10)dy dx. 0 x?

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

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Q: In Prob. 1-38. Find dy/dx.

A: Given; y=e2x+3.

Q: .5 If f(x)dx 4 and | f(x)dx =7, then f(x)dx = %3D

A: Answer is below

Q: In each of the following evaluate dy/dx, when x = 2 using Four- Step Rule 1. y (x+a )³ %3D 2. y = 2-…

A: Here, we are going to solve only one question and for the remaining question please post the…

Q: 4. Compute the following: (a) e dx -1 d (Ъ) dx f'(x) dx a

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Q: 42. a. Find df /dx if f(x) = 2 In. dt. b. Find f(0).

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Q: If S x²+x-2 (x2-1)(2x-x²) dx AS + Bf f(x) dx + D f g(x) dx, then x dx can be resolved into A ...

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Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

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Q: Q3: if f(x)= xy+2x-5y =2 then * =dy/dx

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Q: dx 4√/3x-x² 5³-

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Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

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