dy at (2, 1) when y? = x³ – 3x – 1 and dt da = 2 is 9. dt The value of %3D Select one: a. False b. True

Q: Find dy/dx by implicit differentiation. xy = x°y+27 dy/dx = %3D

A: We need to find dy/dx by implicit differentiation of- xy=x8y+27

Q: If x? + y2 = 100 and dy/dt = 9, find dx/dt when y = 8. (Enter your answers as a comma-separated…

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Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 1, y=2, and…

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Q: Suppose y = v2x + 1, where x and y are functions of t. dx = 9, find dt dy (а) If when x = 4. dt dy…

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Q: Find dy/dx by implicit differentiation. Væ + y = 9+ a²y dy/dx %3D Sub

A: Given: x+y=9+x2y2

Q: dy 2e* +5 and use the fact that y(0) = 6to determine c, the dx 3. Determine the anti-derivative of Y…

A: Given : dydx = 2e2x + 5

Q: Find dy for the given values of x and Ax. y = 3x° - 2x; x = - 3; Ax = 0.4 What is the derivative of…

A: Given the functiony=3x3−2x

Q: Find dy/dt y=(40+e^t)ln t   dy/dt

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Q: find dy/dx for the function ex+y+2x-3y=e using implicit differentation.

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Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

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Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4. dy…

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Q: Find dy for the given values of x and Ax. y = 3x-2x; x= -2; Ax= 0.5 What is the derivative of y? dy…

A: Given: y=3x3-2x

Q: Find dy/dx by implicit differentiation. V xy = 2 + x?y

A: The given equation is: xy=2+x2y

Q: Q#3: Find the total derivative dy/dw. Y=3x+2w+5z? x=4 In(w³) z=e+3x³

A: Given,           y=3x+2w+5z2 , x=4 lnw2 , z=e-z+3x-3

Q: Find dy for the given values of x and Ax. y = 3x+5; x = 1; Ax 0.24 What is the derivative of y = V3x…

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Q: Find the total derivative dy/dw. Y=3x+2w+5z? x=4 In(w-) z=ez+3x

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Q: Find dy/dx by implicit differentiation. ey = x + Y dy/dx

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Q: Let x+y = 100,if dx dy = 2, find dt when y-6 and x-8 %3D

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Q: nd the indicated derivative. 8 dv 7) if v=t+- dt t

A: We are asked to find the derivatives.

Q: Suppose y = v2x + 1, where x and y are functions of t. dx = 6, find dt dy when x = 4. dt (a) If dy…

A: Given y=2x+1 dydx=dydtdxdt

Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt = 4. dy/dt = (b) Find dx/dt when x = 9,…

A: First we will derivative with respect to t then find both value

Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

A: Solution:-  given that  dsdt=5t(2t2-1)3 now  using identity (a-b)3=a3-b3-3ab(a-b)

Q: Find dy/dæ by implicit differentiation. ezy = x + y dy/dx:

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Q: find dy/dt. y = (esin (t/2))3

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

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Q: Evaluate dy/dt for the following: y3=2x4+6; dx/dt=2, x=1, y=2

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Q: d²y d²x 9. х y = C1• %D dt2 dt? di 10. L-+ Ri = E. dt 11. (x + y)dx + (3x² – 1)dy = 0.

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Q: Given the function y = x* e* , find dty dx for x = -1. %3D

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Q: Suppose 4x? + 9y² = 36, where x and y are functions of t. If = 1/3, find dx/dt when x = 2 and dt y =…

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Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 4 and dt dx…

A: First obtain the derivative of the given equation as follows.

Q: dy Suppose dt =ky, where k is constant and y=6 when=0, Also suppose that y=8 when =3, What is the…

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Q: [[ dx dy Q4 )Evaluate by changing the order of integration

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Q: Suppose 4x2 + 16y? 100, where x and y are functions of t. %3D dy (а) If dt dx when x = 3 and y dt…

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Q: dy If y = 4x3 + 5x and dX dt 2, find Y when x = 3. dt dy dt

A: We have, y = 4x3 +5x dxdt = 2

Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: dy If y = (t + 6t + 5) (6t² + 6), find dt dy dt ||

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Q: Find dy for the given values of x and Ax. y = /2x + 5;x = 3; Ax = 0.13 What is the derivative of y =…

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Q: Find the antiderivative of the given derivative. dp dx ex+ 2e-2x (ex - e- 2x) 4

A: Given dpdx = ex + 2e-2xex - e-2x4

Q: If x2 + y2 = 100 and dy/dt = 8, find dx/dt when y = 6.

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Q: Given that x and y are functions of time, find the indicated rate of change. iON dx dy = 2, given…

A: Consider the given equation

Q: Find the antiderivative of the given derivative. ds 14(4? – 1)3 dt S =

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Q: Given y = V4x+5, find the differential dy when x = 7 and dx = 0.3. Round your answer to three…

A: Take derivative with respect to x and put the given values.

Q: Suppose y = /2x + 1 , where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4. (b)…

A: Differentiating with respect to t, we get

Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

Q: Suppose both x and y are functions of time (t). Find the rate of change of y with respect to t, that…

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Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dy…

A: we will diferenciate the equation of y with respect to t, and solve this.

Q: Find dy for the given values of x and Ax. y=2x+9; x 1, Ax 0.12 What is the derivative of y = 2x +9?…

A: We have to solve

Q: Given y = = V4x + 5, find the differential dy when.x 7 and dx = 0.3. Round your answer to three…

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Q: Find dy/dx by implicit differentiation. VTy = x'y +33 dy/dx =

A: The given equation is xy=x7y+33.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.