Eliminate the parameter in the parametric equations æ(t) = /t – 1 and y(t) = -8t + 6 to find a Cartesian equation.

Q: 4) Find the critical points of the parametric equations x = t* - 1 y = t3 - t

A:

Q: Eliminate the parameter from the parametric equations to find the rectangular equation for the…

A:

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

A:

Q: Match the given parametric equations with one of the parametric curves. x=3- sint, y=3+ cost

A: It is given that x=3-sint, y=3+cost. we have to find the graph of the parametric curve

Q: Convert the given equation, -z2- y2 +=1, z20 to an equation in cylindrical coordinates.

A:

Q: Which is a parametric equation for the curve y = 9 – OA. c(t) = (t, 2 + t) OB. c(t) = (t, 9 – 2t)…

A:

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

A:

Q: find the parametric equations of the line through (-3,0,2) that is parallel to 3i-4j+k. x(t)= y(t)=…

A:

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: Sketch the parametric curve of the given parametric equations and indicate the orientation. 1. x=3t…

A:

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: Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1…

A: Given: The equation of cylinder is: x-12+y24=1 .....(1) The equation of paraboloid is: x2+y-22=z…

Q: Find parametric equations for the given curve. y = 4x2 - x

A: The given curve is y = 4x2 - x

Q: Find the slope of the parametric equations z = 2 cos(3t) – 4 sin(3t), y = 3 tan(6t) at the point t =…

A:

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

A: Topic - equations

Q: 8. The position of a particle moving in the xy-plane is given by the parametric equations x =…

A:

Q: Given parametric equations x = 2 cos 0 and y = sin 0. d²y Then dx2 in the point (V2,) is

A: Given parametric equation is  x=2cosθ and y=sinθ

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

A:

Q: Eliminate the parameter t from the parametric equationsx = 3+1 2 sec t and y =2+  4 tan t.

A: Given parametric equations are x=3+12 sect and y=2+4 tant We have to eliminate the parameter t from…

Q: Find the equation of the line tangent to the graph defined by the parametric equations 3 x =t2 – 6…

A: First evaluate the point of contact by substituting 4 for t in the given functions x and y. x=432-6…

Q: Match the given parametric equations with one of the parametric curves. x-3- sint, y = 5+ cost O A.

A: To sketch the given parametric equation :- x = 3 -sin t  and  y = 5+cos t

Q: Find a parametric representation of the solution set of the linear equation.x + y + z = 1

A: Consider the given linear equation  x + y + z = 1 We have one equation and three unknown(x, y, z).…

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z =…

A:

Q: The derivative I of the parametric equations and y=5vt is

A:

Q: Match the given parametric equations with one of the parametric curves. x= 2- sint, y= 2 + cost

A: To determine the parametric curve for given equation.

Q: Without eliminating the parameter t, find a Cartesian equation for the lin curve C, defined by the…

A:

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

A:

Q: Find the angle between the two planes x- 2y + z = 29, 2x + 3y – 2z = 6. And also find the parametric…

A: here we will find angle between two planes and parametric equation of plane's line of intersection,

Q: 2. Find the second derivative for the following set of parametric equations. = t° – 4t3 y = t?

A: We have to find the second derivative of the given equation.

Q: Find the parametric equations for the path of a particle that travels three quarters of the way…

A:

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

A:

Q: Find the Cartesian equation of the parametric equations x = a cost y = b sint 0<t< and identify its…

A:

Q: The derivative Z of the parametric equations z= 7 sin 3t and y= cos 3t is.

A:

Q: Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

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

A: We can find the answer as below.

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

A:

Q: Find the slope of the line whose parametric equations are x=4t+6 and y=t-1

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = e^t…

A: Just put the exponential term value from one equation into the other and easily eliminate the…

Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

A: Given: x=2+3cosθ and y=θ-cosθ   As we know that; The slope of the tangent line to the given curve is…

Q: Find a set of parametric equations for the curve of intersection of a paraboloid x² + (y − 2)² = z…

A:

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: 2. * (t) = t lnt and Y (t) = (t – 1)?

A: We need to find the first and second order derivative of the given function. This can be done as…

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 two different sets of parametric equations for the rectangular equation  y = 4x + 1, t = −1 at…

A: Given equation is y=4x+1, t=-1 and the point is (-2,-7).

Q: Eliminate the parameter in the parametric equations x(t) = –7t – 2 and y(t) = Vt – 8 to find a…

A: givenx(t)=-7t-2..................(i)y(t)=t-8..................(ii)we can rewrite 2nd equation…

Q: If I have a pair of parametric equations  x=20cos(t) and y=10sin(t)  How can I increase the speed…

A:

Q: Consider the parametric equations below. x = t2, y = t5

A: We have to find cartesian equation