Given the parametric equations x = 3t2 and y = 4t3 , find (without eliminating t) dy а. and dx d²y b. dx2

Q: Find a/dx? at t=1 by the given parametric equations. *=t2 and y=t³. d²y/dx² is! 2 is Blank 1. The…

A: Use double differentiation

Q: For the parametric equations: = 26e4 and y = 46et dx () dt %3D dy (ii) dt dy (ii) %3D dx

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

A: The given parametric equations are Now,find the derivative with respect to t Here, the given…

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: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

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Q: ELIMINATE THE PARAMETER IN THE PARAMETRIC EQUATIONS: x=t +1 Y = t t-1

A: Topic - equations

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

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

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

A: As we know that; The Power Law: ddxxn=nxn-1 The Product Rule: f·g'=f'·g+f·g' The Chain Rule:…

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

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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: Given the parametric curve and value of t x(t) = Vf, y(t) = 2t + 4 dy at t = 4 dx Find dy help…

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

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Q: Consider the parametric equations defined by x(t) = 3t² – 3 and y(t)= 2t +1, for t> 0. d'y at t= 1.…

A: Option A is correct option.

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

A: Squarring then add

Q: Consider the parametric equations: x = 2t2, y =t³. Find at the point t = dx? 8 without eliminating…

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

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

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Q: d y Find dx? for the parametric equation: x = et;y3Dt³ +t+1

A: Find your answer below

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

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Q: Find the length of the parametric curve: x = 2t + 1; y = t? – 3,0 <t < 5

A: Given that: x=2t+1,  y=t2-3,0≤t≤5To  calculate   dxdt  and   dydt,dxdt=ddt2t+1=2dydt=ddtt2-3=2t

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: Find dy/dx and d'y/dx2, and find the slope and concavity (if possible) at the Parametric Equations =…

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Q: Find the dx² for the plane curve with the parametric equations X = t³ – 4 and y = t2. -2 9t4 2

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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: dy for the parametric curve x= 2e', y= sin(1 + e' ) dx Find

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Q: For the parametric equations: * = 22e2t and y = 3e3* da (*) dt dy (é) dt dy (á) da

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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…

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

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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: dy Find and dx d²y given the parametric equations: x = 2 – t and y = -1+5t2. dæ?

A: y=-1+5t2 dydt=ddt-1+5t2 dydt=-ddt1+ddt5t2 dydt=-0+10t dydt=10t take the second derivative…

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: Given the parametric equations I = dy 9t2 and y = 4t, then %3D 2t Windows bD

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

A: Givenx=t+1y=t2+3tt=−2

Q: Determine dæ dy and of the parametric equations dy dæ? 1. x (t) = t2 – 4t and y (t) = 2t³ – 6t - -

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Q: Given the parametric curve and value of t x(t) = Vi, y(t) = 6t, t = 9

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Q: The parametric equations of a curve are given by = 4t – 7t2 and y = t – 12t a) dy dzr Find in terms…

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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…

Q: Find the length of the curve given by the parametric equations z = 2t3/2 0 <t< 4 ' y = 3t + 1

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