11 f(x)dæ f(x)dx f(2)dx a /-

Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: x= t^3 -3t^2 what is dt/dx

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Q: d²y + 4y = x² sin 2x dx2

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Q: -S² √√x" dx -2- ។ (X) 5 JX dx -2

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Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: dx y=u(1+u°)³ and u =(3x-2)². %3D Express the derivative in terms of x, if

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Q: Compute dy / dx and d2y / dx2              x 2 - 4y 2 = 8

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: 1. IT (2, 4) dar dy =/| f(x, y) dy dx %D 0. 0.

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Q: 1. S(7x³ + 4x²)dx e*dx 2. J itez* 1+e2x 3. S(V1 – cos x)dx

A: We will these indefinite integrals as

Q: what is dy/dx?

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Q: 18. S V1+x dx 1-х

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Q: 15. /7.- dt 16. x+ 3 dx P + f - 21 2r - &r

A: Solution:Given      ∫dtt3+t2-2tFormula:∫dxx=log x+C

Q: 8. 5x* + -- * ) dx +2 (x³ + In x – e*) dy = 0; y (1) = 0 %3D

A: Differential equation solved by using integrating factor

Q: 17. (Vx-x)dx (1-x²) dr 18. 19 o. Sy² dy 20.

A: Given problems:-

Q: 2. Find by implicit differentiation. dy dx 4 (a) x +xy +y = 5 2 2 3 =D5 3 2. (b) x- xy + y 3. =D1

A: Recall: An equation of the form f(x ,y)=0 , in which y cannot be expressed directly in terms of…

Q: find dy/dx 3x² +5y'x² +4/y, a) x² +4x,/y-5y² = 3 (ans.: 2x 10x'y- Jy

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Q: 7)y= 2e* +2x -2.x

A: we have to find the first derivative of y

Q: 3. LLa (x + 2y) dy dx

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Q: fro(x- dt show that = f(x). dx y 3

A: y=12∫0xft x-t2 dt

Q: If f(x,y) = y2 ex + 3 ln (xy), find fxyy (1,1). fxyy (1,1) = ?

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Q: у (9х — 2у) dx - x (6x = y) dy = 0 -

A: Given:- y (9x - 2y) dx − x (6x — y) dy = 0 To find:- Solve given differential equation when x=1, y=1

Q: Find dy/dx.  X4y1/3 + e7x - y = (x3 - 11)6

A: X4y1/3 + e7x - y = (x3 - 11)6  dy/dx = ?

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: 2. S dx exte-x 3. fx sec² x dx 4. esinx cos x dx

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Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

Q: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

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Q: 5-(x^2-y^4)dy/dx=xy

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Q: 3. f Arctany dy 4. fx(2x - 1)'dx 5. fycsc²ycoty dy 6. fxsin4xcos4x dx

A: The given integrals are;  5) y csc2y coty 6) x sin4x cos4x.

Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

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Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: find dy/dx: (x+y)3+ (x-y)3=x4+y4 ?

A: The given equation is x+y3+x-y3=x4+y4. Find the derivative dydx using implicit differentiation as…

Q: Can i get help step by step please

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Q: 2, x cost dt dx А. 2 В. 0 С. 1 D. x

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Q: 18 13 f(x) dz - f(x) dx = f(x) dx where a = and b =

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Q: 3. f Arctany dy 4. fx(2x - 1)'dx

A: See this solution in below

Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

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Q: Find dy by dx when  f(x) =2x²-x+5÷3x+2

A: The derivative of a function gives the rate of change of a function when an infinitesimal change is…

Q: (1) f dx x3-2x² (2) S dx x²√ √9-x² (3) fx² sin x dx

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Q: 1,- X73X+2 dx (x+リ) Izafhinx dx Ax. Iォfュース alx dx X43X+2 X+1

A: Since, you have posted multiple, we will solve only first part. If you want solution of other…

Q: Find dy/dx by implicit differentiation. 2) x3 - 2y2 = 1 4y B) x2 + 1 A) 4y C) 2y D) x2

A: solve the following

Q: 16 dx -5y -0 dy dy 3

A: We solve this by ordinary differential equation

Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

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Q: Find the 1st and 2nd derivatives of the following profit function: =(xa-110)1/a that is, and find…

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Q: 12. Find dy/dx (x – 2)(x + 1) 3 X y = (х — 3)4 -

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Q: f- dx dt - 4x=2e²¹ + e*; where x(0)=0

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Q: (3x -y - 4) dy t (x+y-4) dx = 0, 2. 14

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Q: (1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1

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Q: Sx² cos (x3 + 3) Van (x3• 3) dx + 3) Vsin (x3+ 3) dx 1)

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Q: dy 3) xIn x- +y = 2 In x dx

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Q: 17. dy dx = y2/3

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…