For the parametric equations: = 48e2 and y = 41et da (*) dt (6) dt %D dy (s) da %3D

Q: 1 +y =1 2 2

A: given equation 14x2+y2=1 we  want to construct parametric  equation

Q: For the parametric equations: x = 23e-4t and y 44e5t dx (?)

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Q: Find dy/dx and d²y/dx2, and find the slope and concavity (if possible) at the given value of the…

A: We are given the parametric equations: x=6cosθy=6sinθ We know that the derivative of  cosa=-sina and…

Q: Find dy/dx and džy/dx2, and find the slope and concavity (if possible) at the given value of the…

A: The answer is found in step-2

Q: 25e2t and y 21e3t %3D For the parametric equations: = (i) dt dy (ii) dt dy (iii) dr

A: topic - derivatives

Q: For the parametric equations: a = 12e2t and y = 23e3t %3D da (i) dt dy (ii) dt dy (iii) dx ||

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Q: Find dy/dx of the following set of parametric equations 1. x = 3(t-2)2 ,  y = 9t2 + 4 2. x =…

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Q: Find dy/dx and d'y/dx", and find the slope and concavity (If possible) at the given Parametric…

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). x = 3t? –…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Given the parametric equation. x = 2 cost y = 3sin t 0<t<2n

A: For (B), We need to find the curve whose parametric equation is given above.

Q: For the parametric equations: = 48e2 and y = 4le %3D %3D da (*) dt dt dy (6) da %3D

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Q: For the parametric equations: a = 30e2t and y = 47e3t %3D %3D da (i) dt dy (ii) dt dy (iii) da || ||

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Q: Parametric Equations Parameter - V, y = V1

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Q: For the parametric equations: x = 12e2t and y = 36e3t dx (i) dt %3D dy (ii) dt %3D dy (iii) dx

A: Given x=12e2t and y=36e3t

Q: Consider the parametric equations below. x = 4 + 5t,    y = 1 − t2   Eliminate the parameter to…

A: Calculation:Compute the Cartesian equation as follows.Rewrite x = 4 + 5t as follows t = (x – 4)/5.

Q: Given the parametric equations x = 3t2 and y = 4t3 , find (without eliminating t) dy а. and dx d²y…

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Q: Find dy/dx and d'y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: Find dy/dx and dy/dx, and find the slope and concavity (if possible) at the given value of the…

A: Given: The parametric equation are: x=6cosθ        ... (1)y=6sinθ         ... (2)

Q: gure to the right as the parameter. (x, y) 12 ind parametric equations for the particle's motion.…

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Q: For the parametric equations: x = 3e2t and y = 8et %3D dx (i) dt dy (ii) dt dy (iii) dx %3D ||

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Q: Find the rectangular equation for given parametric equations x= 3t      y=t+3

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Q: What Cartesian equation is equivalent to the given parametric equations? Sx (t) = 2 sint ly (t) = 4…

A: x(t)=2 sin t xt2 = sin t  square both side x24 = sin2 t ...............1   Now, y(t)= 4 cos t yt4 =…

Q: Find dy/dx and d2 y/dx2 , and find the slope and concavity (if possible) at the given value of the…

A: Given, x = cos3 θ, y = sin3 θ Parameter θ = π/4

Q: For the parametric equations: I= 43e2 and y = 7e3t %3D dr (i) dt dy (ii) dt dy (iii) dx

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Q: What is the Cartesian form of the parametric equations.x(1) =t+ 4 and y(t) = t² + 31 + 1? Provide…

A: To eliminate the parameter.

Q: Find dy/dx and d?y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: -4t For the parametric equations: x = 48e and y = 37e5t

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Q: Consider the parametric equations x =t - sint and y = 1- cost. Which of the following dy ?…

A: If the parametric equations are  given byx=t-sin t  and  y=1-cos tThen to find the value of dydx.

Q: Find dy/dx and d-y/dx, and find the slope and concavity (if possible) at the given value of the…

A: Given: x=6 cosθ, y=6 sinθ a) dydx at the point θ=π4 can be calculated as, dydxθ=π4=dydθdxdθθ=π4…

Q: For the parametric equations: = 41e2 and y = 27e* dx (i) dt dy (i) dt (tit) d

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Q: Find dy/dx and d'y/dx², and find the slope and concavity (if possible) at the given value of the…

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Q: For the parametric equations: x= 39e and y = 16e dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: d/dx(y(x)) if x and y are related by the parametric equations x = t+sint, y = t^t

A: Given  equations x = t+sint, y = t^t

Q: For the parametric equation, find dy/dx:

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

Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: (ii) Find for the parametric equations dx2 dy x =t – sint, y = 1 – cost

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Q: Consider the parametric equations below. x = t?, y = t3 X =

A: Given data:     The first parametric equation is: x=t2. The second parametric equation is: y=t3.…

Q: What is the rectangular equation of the curve fro the parametric equation below? x=3t+2,…

A: Consider the parametric equation, x=3t+2y=t+40≤t≤4

Q: What is the Cartesian form of the parametric equations x(t) = 4t – 2 and y(t) = /t – 3? %3D Provide…

A: To find cartesian form of equation

Q: Find the equation for the following parametric equation in rectangular coordinates. x = 2t + 1 y =…

A: The solution is :

Q: Solve for the critical points of the parametric equations x = t3 -1, y = t2+t

A: To find the critical points

Q: 3t For the parametric equations: 39e2 and y = 16e %3D

A: We can find the answer as below.

Q: For the parametric equations: x = 9e-4t and y = 8e5t %3D dx dt dy (ii) dt %3D dy (ii) dx (write the…

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Q: Find dy/dx and dy/dx2, and find the slope and concavity (if possible) at the given value of the…

A: To find dy/dx and d2y/dx2.   Slope is given as = dy/dx.

Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: The solution is given as follows:

Q: For the parametric equations: a = 16et and y 18e %3D da (i) dt 32*e^(2t) %3D dy (ii) dt 54*e^(3t)…

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Q: dy d'y Find and given the parametric equations dr dr? x = t and y = 3t2 + 3t + 9. dy dz d'y dr?

A: Formula: If x and y are differentiable functions of t then dydx=dy/dtdx/dt and…

Q: For the parametric equation: x = 4t - 3 & y = t? +4, find dy/dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…