If y = 1+ sin t ,x = cost at t = Findy by using Chain Rule, then choose the correct answer: dt

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: y(x) = tan{/3x² + In(5x*) - In(5x'

A: Given  y(x) = tan3x23 + ln5x4 We have to find dydx.

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

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Q: If z = xy + 3xy', where x = sin 2t and y = cos t, find dz/dt when t = 0.

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Q: The linear approximation at æ = 0 to sin(2z) is A + Bx where A is:| Previev and where B is: |…

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Q: , X= sin ztS d= In Find dw 2- Cost

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Q: EVaLuate W= X -*-cos't ,y=cost sint

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Q: Can i get help step by step please

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Q: If y = tan(4x + 1), determine using chain rule. dy dx

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Q: 5. Find of the parameters: x = sin 2t and y = - cost at t = dx %3D

A: Topic = Derivative

Q: Use the Chain Rule to find the derivative of w = xy with respect to t along the path x = cos t, y =…

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Q: If z=(x+y)e^y and x=7t and y=1−t^2, find the following derivative using the chain rule. Enter your…

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Q: If sin(x) f(x)= 68+t2 dt Jtan(x) and g(y)= f(x) dx , Then g) is equal to

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Q: use Separation of Variables to find the general solution. dy/dt= y tan t

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

A: y=3x3+4xdxdt=2,

Q: find dy/dt. y = sin (cos (2t - 5))

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Q: Find aw/as and ôw/at using the appropriate Chain Rule. Function Values w = sin(2x + 3y) X = s + t, y…

A: we have to find partial derivative by using chain rule

Q: If the PSD of X(t) is S„(@). Find the PSD of dX(t) dt

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Q: dy b) Find If tan2²(2y) – S cost dt = 4 – x2 - dx

A: We find the dy/dx by Leibniz rule.

Q: If z = cos x - e¹, x = 1² + 1 and y = 5 + ln t, then equals: dz dt

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Q: A point moves along the parabola y = x² in such a way that the rate of change of x : kx, || dx dt…

A: Since dx/dt = 10 at x = 5, therefore 10 = 5k k = 2 Now, calculate dx/dt at x = 7. dx/dt|x=7 = 2*7 =…

Q: Find ðw/ds and dw/at using the appropriate Chain Rule. Function Values w = sin(4x + 5y) x = s +t, y…

A: We will find out the required value.

Q: If Z = Jxy +y, x= cos 0 , y= sin 0 when 0 dz By using chain rule find de

A: Chain rule for one independent variable- Suppose that x = g(t) and y = h(t) are differentiable…

Q: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: and where B is:

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Q: The linear approximation at a = O to sin(7x) is A + Bx where A is: and where B is:

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Q: Find dy/dx in terms of x and y if arctan (x^3)=xy^3?

A: To find the derivative of the given function.

Q: Assume that x and y are both differentiable functions of t and are related by the equation y =…

A: Given :y=cos4xdxdt=-3 when x=π8 Use chain rule to evaluate the dydt. According to chain rule,…

Q: If y = 1+ sin t ,x = cost at t == 2 Find- dt by using Chain Rule, then choose the correct answer:

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Q: Find dw/ds and dw/dt using the appropriate Chain Rule. Function Values w = sin(4x + 5y) x-s+t, y =…

A: The given function,w=sin(4x+5y)x=s+ty=s-tat the point s=0, t=π2

Q: Given that xyt – 6 = 0, find dy by implicit differentiation. - %3D dx? dy dx?

A: A detailed solution is given below

Q: dy Q2) Find by using Chain Rule for y = sin34t dt

A: dy/dt for y= sin34t

Q: Assume that x and y are both differentiable functions of t and are related to the equation: y =…

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Q: Find2 of the parameters: x = sin 2t and y = - cost at t =

A: In this question, we need to find dydx. It is given that x = sin 2t and y = -cos t

Q: Assume that z and y are both differentiable functions of t and are related by the equation = cos…

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Q: 2. Please find the derivative of the following: S* cos vt dt J. cos b. Scos VE dt a.

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Q: If Z = /xy + y, x= cos 0 , y= sin 0 when 0 = 2 dz By using chain rule find de

A: According to chain rule of differentiation .According to product rule of differentiation . According…

Q: Use the Euler method with dx = 0.5 to estimate y(5) if y′ = y2/sqrt(x) and y(1) =-1. What is the…

A: Consider the formula used in Euler’s method.Also summarize the given data in the question.

Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x = 5.² in six…

A: Given integral is ∫0πsinxxdx. We have to evaluate the given integral by using composite trapezoidal…

Q: se the Chain Rule to find dw/dt. w = INVX2 + y2 + z² x = 9 sin(t

A: Here we have to use the chain rule to find dwdt=? w=lnx2+y2+z2, x=9sin(t), y=3cos(t), z=5tan(t)

Q: If a = 5+ti and y = 3t - t then dy at t = 1 dz is :

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: dy Find by using Chain Rule for y = sin³4t dt

A: Here we do u and v subsitution to get the derivative of given function.

Q: Find ôw/as and ôw/at using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s + t, y…

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Q: with x=sec t and y=e". Then the value of dz evaluated at dt If z=tan In t= 0 is equal to (Correct to…

A: Given function z=tanln4x2y with x=sect and y=e2t Substitute the x=sect and y=e2t in the given…

Q: A particle moves along the x-axis with velocity given by v(t) = 3T sin (t) for time 10 at time t =…

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Q: 5. Find dt ,y = cos(sin(t – 4))

A: Given function is: y=cossint-4 Derivation of the above function with respect to t. dydt=ddtcossint-4

Q: Use Euler's method (with all details) to find approximate value of = 2y - 2x² -3, given that y = 2…

A: Given: y'=2y-2x2-3 , y(0)=2 , h=0.3. We find y(3) by using Euler's method. The formula for Euler's…

Q: Find the general solution of the equation dy + (tan t) y = cost dt

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Q: Find the integrating factor for the equation dy + sin(3x)y 223 dr

A: find the integrating factor

Q: dy dx 2 at x = 5 if y = 4x? + 5 and dt = 4. Find %3D dt

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