dy dy dt * dx dt dx Ex3: Use the chain rule to express: in terz dx dy t2 a) y = and t = v2x +1 %3D %3D t2+1 1 b) y = 241 and x = V4t + 1 c) y = ( 1 x 3D t2 and -1 at t = 2 %3D t+1. 1 d) y = 1- 1 and t = 1-x at x = 2

Q: ay or dx. 2x + y = 7x - 6 to find y a)

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: differenetiate parametrically to find dy/dx in terms of t:  x=1/t+1 , y=2t^2-4

A: please use according to form i did solved two equation because your question is not write clear that…

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: 16 4+x² dy when y = Find 4 – x² dx dy dx

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Q: (D 3)²y = e*.. %3D

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: c2 d dx 1 dt /2x /1+tª (ii)

A: The given expression is : ddx∫2x211+t4dt…

Q: (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1,–3) %3D

A: The solution of the problem is given in the next steps.

Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

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Q: Let ƒ(x, y) = 2ex - 8x3y2. Find all second-order partial derivatives.

A: Consider the function: fx, y=2ex-8x3y2……1

Q: Integrate by substitution. Check your answer by differentiation. bet dt toe +6t dt = +C %3D

A: On solving this we will get

Q: dy y(x + y) dx 6) x(x – y)

A: Note : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Sx (Vx-1) dx

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Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: Draw the bifurcation diagram for dy/dt = y(a-y)

A: We can use concept of critical points in order to solve the given problem.

Q: 5-find Аху : xe 12) if f(x, y) = xe

A: First I have mentioned what we have to find then just use the rule of partial derivative find the…

Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: Can you subtract v2(d2y/dv2) to v2(dy/dx)2 ?

A: The given terms are v2d2ydv2 and v2dydx2.

Q: Find dy -, if dx dy dx y = u U³ || - u and u = 4x² + 1.

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Q: dy Find , if dx y = 3u – 2 and u = 2x² - 4. dy Preview dx

A: Topic = Derivative

Q: By using chain rule Find dy/dx iff- u=-1, x=-1

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Q: f (x, y) = (x² + y²)5

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Q: dy Differentiate ax by applying the chain rule repeatedly. Show work 7 y =(√x + = = 2₂2) ³² X-2

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Q: dx 3x 6y = 0 dt dy 3x + Зу %3D 0 dt

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Q: Assume that  dx1/dt= x1(2-x1)-x1x2 dx2/dt= x1x2-x2 a) Graph the zero isoclines. b) Show that (1,…

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Q: Find dy/dx: b) y = x² (x – 1)³

A: We have given y=x2x-13. To find: dydx. Solution: Power rule of differentiation states that:…

Q: Solve the partial differentiabion equation +6.0 = 2-y Ox Show that the gereral aoludion 2.

A: Given. the partial differential equation                            ∂2z∂x2+5∂2z∂x∂y+6∂2z∂y2=2x-y…

Q: y = u²+1, uzt + 3t ) t=2x1 what's dy dx for x=1?

A: The given functions,.We have to find for .