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

Q: A baseball is hit towards the outfield, following the equations x(t)=51.5t and y(t)=−16t2+105t+4,…

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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: 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: A cheetah can run at 105 feet per second, but only for 7 seconds, at which time the animal must stop…

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Q: For the parametric equations: 22e2t and y = 47et

A: Derivative: - The derivative formula is one every of the foremost fundamental notions in calculus,…

Q: Given the parametric equations, x = 3/t and y = t - 2, eliminate the parameter. y = --2 y = +2 y =…

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

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

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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: What is the Cartesian form of the parametric equations ¤(t) =t+4 and y(t) =t² +3t +1? Provide your…

A: Given that,           x(t) = t+4    &amp;  y(t) = t2+3t+1  Then               t=x-4 , substituting…

Q: Find the exact length of the curve described by the parametric equations. x = 5 + 3t2, y = 3 + 2t,…

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

A: Topic - equations

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

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Q: Sketch the curve represented by the parametric equations x = t + 1, y = t2 (indicate the orientation…

A: Given: x=t+1, y=t2. first we eliminate t and find equation of curve in x and y x=t+1…

Q: For the parametric equations: a = 12e and y = 29e3t dr (i) dt dy (ii) dt dy (iii) dr || ||

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

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Q: Graph the curve given by the parametric equations below, and show its orientation. x=2 sin t, y=2…

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Q: Graph the curve defined by the parametric equations

A: Here given parametric equation as x=3t2,  y=2t, -2≤t≤2 Then t=y2

Q: The motion of a particle in space is defined by the parametric equation x(t) = −t2 + 3t + 1, in…

A: Given: x(t)=-t2+3t+1  in meter y(t)=2t+5 in meter

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

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Q: find parametric equations for the given curve. . (x + 9) 2 + (y − 4) 2 = 49

A: To find the parametric equation of the given curve (x+9)2+(y-4)2=49 Given equation is in the form of…

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

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Q: Eliminate the parameter in the parametric equations #(t) = 2t + 5 and y(t) = 8t equations. Provide…

A: In this question we will simply eliminate parameter t and get an equation between x and y. Solution…

Q: Consider the parametric equations below. x = t2,    y = t5   Eliminate the parameter to find a…

A: We will solve for t from y = t5

Q: Find the rectangular equation for the following two parametric equations. x = 2t – 1 and y = t² + 6…

A: Given equation is  x = 2t-1            ..............(i) And y = t2+6          .............(ii) So,…

Q: s on the graph of parametric equations 2VE %3D tF (2,0), then |PF|= B. 5 C. 6 D. 7

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: The motion of a particle in space is defined by the parametric equation x(t)=-t2+3t+1,in meter and…

A: To find the position of the particle, use the formula, r→(t)=x(t),y(t), where x(t) is the…

Q: Consider the parametric equations x = √t − 2 and y = (1/ 2)t + 1, t ≥ 2. What is implied about the…

A: Consider the given parametric equation as x=t-2 and y=12t+1

Q: x = 1 + 4t,    y = 3 − t2

A: Here we extract t from the 1st equation then put this into second equation.

Q: Sketch the curve represented by the parametric equations x = 1 + 8t,                 y = 3 − 4t…

A: x=1+8t,  y=3-4t When t=0, x=1+80, y=3-40⇒x=1, y=3 When t=1, x=1+81, y=3-41⇒x=9, y=-1 Now the graph…

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

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Q: Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5. %3D Ox=y= 31 – 2 x…

A: We have, t = 4x+1                                    .......1y = 12x+5…

Q: Sketch the curve represented by the parametric equations x = e−t ,y = e2t − 1 (indicate the…

A: The given parametric equations of curves are: x = e^(-t) y = e^(2t) - 1 The graphs of these…

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: Sketch the curve represented by the parametric equations x = t3, y = t2/2 (indicate the orientation…

A: Given a parametric equation,   x=t3                ...(1)  y=t22              ...(2)

Q: Consider the parametric equations: x = 2t2, y =43t3. Find d2ydx2at the point t=18 without…

A: Given parametric equations are x=2t2 and y=43t3. To find d2ydx2 at the point t=18 without…

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: determine the parametric equations of the tangent axis to the ellipse x²/9+y²/4=1 at the point T =…

A: As we know that the parametric equation of ellipse at a point acosθ,bsinθ  is given by…

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 parametric equations for the given curve. 9x2 + 4y2 = 36

A: Given -            Parametric equation -              We define x and y both in terms of a third…

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: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –…

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Q: What is the Cartesian form of the parametric equations æ(t) = 4cost – 1 and y(t) = 5sint + 2?…

A: Here I am attaching image so that you understand each and every step.