Eliminate the parameter in the parametric equations x(t) = –7t – 2 and y(t) = Vt – 8 to find a Cartesian equation. Select the correct answer below: O x= -7y2 – 112y – 450 O y = -7x2 – 112x – 450 O x= -7y? – 58 O y= -7x2 – 58

Q: find parametric equations for the given curve.  4x − y 2 = 5

A: Given curve is 4x − y 2 = 5 To find the parametric equations :-

Q: Find the First and Second Derivate of y with respect to x from parametric equations. x=1/(t-5)3…

A: To find the First and Second Derivate of y with respect to x from parametric equations. x=1/(t-5)3…

Q: From the two parametric equations below, find dy dx x = (2 − 3t)/ (1 + t) , y =(3 + 2t)/(1 + t)

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Q: Find the Cartesian equation of a curve defined parametrically by 5t and y = 10t for all real values…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. If y = tx, where t is the parameter, what are the parametric equations of the curve x' +y° = 4xy?…

A: The solution is given as

Q: A lizard moves through the plane with its position at t seconds given by the parametric equations…

A: →cos(nπ) = (-1)n  →First find the inital co-ordinates at t = 0. Now, we have to find the time at…

Q: 12. Given the parametric equations r(t) = 3t + 2 and y(t) = t+1 for 0 <t< 4, find the rectangular…

A: For getting the rectangular equation eliminate the t

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 the Cartesian equation of a curve defined parametrically by 5t and y =10t for all real values…

A:

Q: Eliminate the parameter in the parametric equations x(t) = -6t + 8 and y(t) the equations. = 30t –…

A: givenx=-6t+8....................(i)and y=30t-10...................(ii)x=-6t+86t=8-xt=8-x6

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: 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 a parametric equation for the path of a particle that moves halfway around the circle…

A: We have to find the parametric equation for the path of a particle.

Q: 17. Find the cartesian equation of the parametric curvex =1+e²*, y= e'. (a) z² = y? – 1 (b) 7 = x² –…

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Q: 8. Find the positive constant a(> 0) so that the parametric equation: x = at, y = -t? is a solution…

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Q: Q6) The parametric equation of the x_axis is: * O t-1 O x=0 O x=t O x=1

A: Since at x-axis, y and z axis are both zero and only x is varying so general parametric equation for…

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

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Q: 9. Given the parametric equations x = et and y = te-t, vt. dy (a) Find dx (b) Find dx2 d?y (c) For…

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Q: Find the First and Second Derivate of y with respect to x from parametric equations. a). x=(t-2)5/2…

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Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1…

A:

Q: Suppose the position of a particle is given by parametric equations x(t) = 2t2-1 and y(t) = 3t3. (a)…

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Q: d'y and dx² dy 23 Find -in terms of t for each of the following parametric equations. dx a x= -3, y…

A: d. Given parametric equations: x=et  y=et-e-t To find - dydx  and d2ydx2 which  can be given as-…

Q: Find for the parametric curve c(t) = (41°, 2r² – 8) at the point t = 2. (Use symbolic notation and…

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Q: Solve the following. dy 1. Determine de of the parametric equations a (t) = t? – 4t and y (t) =…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

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Q: Eliminate the parameter in the parametric equations æ(t) = /t – 1 and y(t) = -8t + 6 to find a…

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Q: The position of a particle moving in the xy-plane is given by the parametric equations x(t) =…

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Q: Q1:- Draw the graph of the following parametric equations, and find the Cartesia 1) x = 6t + 2 y =…

A: Hello. Since your question has multiple parts, we will solve the first three part for you. If you…

Q: . Find a cartesian equation for the given parametric equations: a) x = t2 – 4 and y =t+1 b) x = 2…

A: Eliminating t

Q: A cartesian equation of the parametric curve x = 6t + 11E - 10, y = E is O A No solution OB.…

A:

Q: Find the 1st  and 2nd Derivate of y with respect to x from parametric equations.     x=(t-2)5/2…

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Q: Suppose a ball is hit with a horizontal velocity of 80 ft/sec and an initial upward velocity of 90…

A: NOTE: Refresh your page if you can't see any equations. . here the given horizontal distance is…

Q: 2a) Find the slope of the curve represented by the parametric equations, at 0 = T/6 %3D x = 5+ 3 sec…

A: The curve given is  x=5+3sec θy=-3+4tan θ

Q: Find the dy/dx of the parametric equations given: x= 2t² – t and y= t³ – 2t – 1

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Q: Find for the parametric curve c(t) (t-1 – 5t, 41) at the point t = -2. dx (Use symbolic notation and…

A: Given problem:- Find dy/dt for the parametric curve c(t) = (t-1 - 5t, 4t3) at the point t = −2.

Q: 17. Consider the following parametric equations. x = Vt + 4, y = 3VE, , 0st < 16 a. Eliminate the…

A: The given data is: x=t+4       ....1y=3t          .....2 0≤t≤16

Q: 4. Solve for the critical points of the given parametric equation: x = t³ – 1; y = t² + t

A:

Q: ) Suppose that the parametric equations x = 1, y = r', 12 0, model the position of a moving object…

A: Given

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

A: To find the critical points

Q: Find the equation of the tangent line(s) to the given set of parametric equations x = t² + 5t – 6 y…

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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: A cartesian equation of the parametric curve x = 12t + 11 E - 5, y = JE is OAx = (3y – 1 ( 4y +. =…

A: x=12t+11t-5and y=tput value of t=y in x

Q: 1. Find and Y and simplify whenever possible. d²y dx dx2 Given parametric equations: x = t3 +1, y =…

A: Since, you have asked multiple questions, we will solve the first question as per company…

Q: 26 Given the parametric equations x=4cos? r and y = 5sint. Find dy when t= dx

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Q: Find ,Y, and of the given parametric equations dy d²y dx ' dx² d³y dx3 X = cost, y = 5 sin t in…

A: The given parametric equations,x=cost, y=5 sint