dy Given that y = 5u+ 4 and x = -u', hence find dx

Q: dy Find the General and Particular solution of dx 3y; y=3, when x=0

A: The differential equation is given as dydx = 3ydyy = 3dx∫dyy = 3∫dxlny = 3x+lnAlny-lnA = 3xlnyA =…

Q: dx x2+y?, dt dy 2, find dt dL when x = dt If L = V -5, and 7 and y = 6. dL dt

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Q: Q1-lf x= cot-VE, y= , find dy dx' dx2 at t = 2. t+1

A: We have to find first order and second order derivative of the given parametric functions.

Q: dx If y = 2x3 + 3x and dt dy 3, find when x = 4. %3D dt dy dt =

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Q: Find dy/dæ in terms of æ and y if æ°y – x – 2y – 1 = 0. dy dx

A: We have to find dydx in terms of x and y if x3y-x-2y-1=0.

Q: dy| 2х — 6 - Find- , where y = dx\x=1 x + 2 Enter the exact answer. dy dx=1

A: Solve

Q: Find dy/dx and d2y/dx2 without eliminating the parameter. x=1-t^(2), y=1+t

A: x=1-t2,  y=1+t Differentiating with respect to t, we get dxdt=0-2t  &  dydt=0+1⇒dxdt=-2t  &…

Q: Evaluate sczxay) dx^ (x+ 3y) dy along the poth C: ure on y =1-3 from l0,)) to Cl,0)

A: Line integral problem......

Q: (b) Given that y(6x +1) e** = 1+ - In dy Find when x 0 and y=1. dx

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Q: Find dy/dx in terms of t if x = te', y = 4t + 4e* dy/dx =

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Q: Find the differential dy of the given function. (Use "dx" for d> y = 8x² – 4 dy = %3D

A: Formula :

Q: Find dy/dx in terms of a and y if aty – x- 2y- 2 = 0. dy %3D dx

A: It is implicit  derivative.

Q: Find of / dx and of / dy. f(x,y) = e(x+ y + 9) of / dx = df / dy =

A: Let f be a function of x and y. The expression ∂f∂x implies that partial derivative of f with…

Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: dx Let y = 0.75a? + 4.25 and dt 0.6. dy Find when x = 3. dt

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Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

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Q: Find dy du du dx dy when y and u are defined as follows. dx u = 3x - 9x² and y = √u

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Q: where t is a non-zero parameter. Show that dx 28 Given that x=z and y==. 1+r Hence find its value at…

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Q: dy Find for y = /12+13t dt. dv

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Q: Find of / dx and of /ay. f(x.y) = elx +y+6) of I dx = of I dy =

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Q: dy For = 9 + y and y(0) = 4, use Euler's method with h = 0.1 to approximate y(0.6). dx

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Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: The given expression is y=sin(4x)1-x4. Find the derivative of the expression. The quotient rule of…

Q: dy Find where dx y° sin(4æ) – 72° – y³ = 10 - dy dx

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Q: dy where y = coS cos (V5æ). Find dx

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Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: Given x = 8 In(t) and y = 64 t² then find dy %3| dx d²y %3D dx? ||

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Q: Find dx/dt. Since x + y =225, then %3D 2x dx + at 2y.dy =D0 %3D This Simplifies to dx = dt dy %3D

A: Given: x2+y2=225 To Find: dxdt

Q: Use chain rule to find dy/dx for y=u^4/3 , u=x^2+8x+30

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Q: dy Given that y = In 9x, find dx dy dx

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Q: Find the value(s) of dy at y=1 given that x²y+y² =5. dx only only D

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Q: dy of y=X Find

A: y = x^x Find dy/dx

Q: dy Find of y* = sin(e) + xtan-'x %3D dx

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Q: 3y dx dy 1.) Evaluate exactly: Va + y?

A: We will use double integration

Q: dy Given that y = In 9x, find dz dy

A: Use derivative rules to find dy/dx

Q: Find dx/dt. Uince x² + y^ = 225, then. 2x dx dt 2y.dy 24- ニ

A: Given that x2+y2=225 we have to find the value of dxdt.

Q: Find the value(s) of at y= 1 given that x2y+y2 = 5. dx

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Q: 8. Find dy/dx in terms of x and y using implicit differentiaton 5y 4 +x 2 = 9

A: Step for implicit differentiation: (1) Differentiate with respect to x (2) Collect all the…

Q: Find the value(s) of dx at y= 1 given that x²y+y² = 5. only В only 2

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Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

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Q: x' - 4xy + y = 4 %3D

A: Given,          x2-4xy+y2=4

Q: dy Find the solution to dx 5xy which passes through the point (0, e). (In y)? y =

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Q: dy Given that y = x°e", find dx dy dx

A: In this question, we need to find the derivative of y = x9ex

Q: Find of/ dx and of /dy. f(x,y)= e(x+y+ 4) of/ dx = %3D of / dy %3D

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Q: dy Given y = vx² – 5x, evaluate using delta process. - dx

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Q: Ql find dy 2メ for y= cos ( Inx + e %3D dx

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Q: dy Find for y = - 12x + 5 cos x. dx dy %3D dx

A: We have to find derivative for given function.

Q: .2 dy Find for y dx V6 – x5 - dy %3D dx

A: We have to find dydx