y = 3 Arccos ( 1 -)+ v6x – x² %3D 3

Q: Solve for dy/dx and dx/dy: 8xy+2x^4y^-3=x^3

A:

Q: y(xtanx+In y)dx+ tanxdy3D0

A:

Q: SSo+ + y+z) dz dy dx 0.

A: Triple integration is used to find the volume.  Use power rule of integration

Q: ху Solve *y - dy x+1 dx

A: Let Mdx+Ndy=0 Then the above equation is exact if ∂M∂y=∂N∂x. If the above equation is not exact,…

Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

A:

Q: x sec2x dx (integration by Parts)

A: In this question, we need to find the integral of given function using integration by parts.

Q: 3 For y = 3x + x + 3 dy = -1 = dx

A: Given that:y=3x3+x+3To find: dydxx=-1

Q: Find dy/dx for y=x(4x+3)1/3

A:

Q: The integration of dx is 4+x²

A: The given integral ∫dx4+x2 can be evaluated as, ∫dx4+x2=∫dxx2+22                =12tan-1x2+C…

Q: Calculate dy/dx Simplify y=3x-5/2x+4 dy/dx=

A: Solving by derivative we have

Q: Sdz dx dy=1 dz dy dx=24

A: Given  a) ∫01∫12∫23dzdxdyb) ∫01∫x2x∫0xydzdydx

Q: dy Find for 3(x2 + y²) ² = 100xy dx

A:

Q: Differentiate. In x y= 11 y3D dx

A:

Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: 1 = S V1- xV3+ x dx %3D

A: Use integration by part

Q: Ssin x CosX dx 6x dx

A:

Q: d’y - 2 y = 5x' + In(x²). dx

A:

Q: Find dy/dx. 8. хеУ 3D 2ху + уs

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

A:

Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

A:

Q: Find dy by Dx when y is equal to under root  2x²-5x+n whole cube

A: Given: y=2x2-5x+n3

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

A:

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: 10. x = Vt-2, d²y y =t2-3' dx2

A: The given question is taken from the derivative and we have to find the derivative of the parametric…

Q: dy - 3x2 + 4 y = In ² x – In x dx dx

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Q: Y(3x*2)dx + x (1-2y) dy-0

A:

Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

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Q: Find for y = x(7x + 1) dx dy dx

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Q: Find dy/dx by implicit differeniation x2y+y2x =- 2

A:

Q: dy/dx 5 - y = In(x – Vx²+ 1)

A:

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: Find the intergral of i. SVīdx ii. (x - 1)dx

A: According to Bartley guidelines I have, to solve only first question so repost the problem for…

Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

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Q: 4. Find 3x 2t dx/e²t dt

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Q: 27. (x +4y³)dx dy

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Q: Integrate J dx X(x-3)

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Q: Find dy/dx. x = 9/t, , y = Vte-t

A: topic - derivative

Q: (х — у)(4х + у)dx + x(5х — у)dy %3D0

A:

Q: dy Differentiate implicitly to find dx 5. 3 4 x'y +8x -3y +2 dy 口 dx

A: Given query is to find the derivative of the function using implicit differentiation.

Q: Find dy/dx and dx/dy from 6x-x'y +4x 0

A:

Q: Find dy/dx of  1. y=x3 (2x2 -1)

A: Given, y = x3(2x2 -1) Multiplying the x3  with (2x2 - 1)  So, y = 2x5 - x3

Q: 2x(y+ 1) dx – ydy = 0 when x = 0, y = -2

A:

Q: find dy/dx for y = -(3x^2 + 5x)^5.

A: solution is given below.

Q: Find dy/dx. x = 6/t, y = Vte-t

A: The parametric equations are given by x = 6t  y = te-1 To evaluate : The expression of dydx

Q: Find dx/dy  if y = 2x2+3/3x-1

A: Given that y = 2x2+3/3x-1 To find Find dx/dy

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: