Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: Sz(t) = - 2t2 ly(t) = - 8+ 2t The resulting equation can be written as =

Q: Eliminate the parameter to find a cartesian equation of the curve. x = et,  y = e-4t

A: A curve is a two dimensional object with equation of the form y=f(x). This equation can sometimes be…

Q: Find the Cartesian equation of the curve: [2r/r2 = 1+ cos a]

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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: x=4cosθ and y=4sinθ We have to find: (1) dydx (2) d2ydx2 (3) Slope at point θ=π4 (4) Concavity at…

Q: Consider the following. x = sin(t),    y = csc(t),    0 < t < π/2 (a) Eliminate the…

A: x(t) = sin(t)y(t) =csc(t)

Q: Consider the following. x = t³, y = In(t) X = (a) Eliminate the parameter to find a Cartesian…

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Q: Consider the following. x = e', X = y = e-3t (a) Eliminate the parameter to find a Cartesian…

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Q: The cartesian equation of the curve x = vt ,y= 1– t is : (a)y = 1 – x², x 2 0 (b)y = 1 – x ,x 2 0…

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Q: 1. Find the equation of the tangent plane to the given surface at the point (0,-1,-2). * 2r2 „2

A: by using formula of plane

Q: For the line, x(t) = y(t): Find parametric equations for the tangent line at t = 3 for the motion of…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: S¤(t) = ly(t) = 3t2…

A: We can make it easier for you.

Q: 3) For the parametric system, find and . When is the graph concave up or down? dx dx²° x = t² – 1 y…

A: Given problem is :

Q: The cartesian equation of the curve x = 1-t,y= t is : (a)y = 1– x², x20 (b)y =1-x ,x 2 0 (c) x = 1 –…

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Q: The cartesian equation of the curve x = vt ,y= 1-t is: (a)y = 1 – x2, x 2 0 (b)y = 1 – x ,x > 0 (c)…

A: Given:-paametric equation:x=t y=1-tsince we have to find the cartesion equation

Q: 3t? Find the length of the curve x = t, y 2 osts 13. 3 =

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Q: Eliminate the parameter t to find a Cartesian equation in the form * = f(y) for: [x(t) = −2+² ly(t)…

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Q: Consider the following. x = t4, y = In(t) (a) Eliminate the parameter to find a Cartesian equation…

A: We have to find the Cartesian equation

Q: Find the second derivative in terms of t for the parametric equations below- x=t² -t+2 y =t -3t

A: Given that, the parametric equations are x=t2-t+2 and y=t3-3t Find the first derivative in terms of…

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: S¤(t) = – 5t2 ly(t)…

A: Given query is to find the equation in Cartesian form.

Q: Given the data points, determine the y at x = 0 using Lagrange method. -1.2 0.3 1.1 y -5.76 -5.61…

A: Suppose we have three points x1,y1,x2,y2 and x3,y3 then by Lagrange approximation  quadratic…

Q: For the equation, xt+1=rxt(1-xt) for t=0,1,2,... Find the two fixed points. For which values are…

A: To find: The two fixed points, which values are the locally stable. Given: The equation is…

Q: The cartesian equation of the curve x= vt ,y =1-t is : (a)y = 1– x², x 2 0 (b)y =1-x ,x20 (c) x = 1…

A: Eliminate t in given equation.

Q: 8. Eliminate the parameter to find a Cartesian equation of the curve: x(t) = t, and y(t) = 3t+4, t≥…

A: To eliminate the pararmeter to find a Cartesian equation of the curve: xt=t, and yt=3t+4, t≥0.To…

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for fæ(t) =…

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Q: a)Find the exact length L of the curve 3y = (4x – 3), 1 0. Answer: b) Evaluate xe*dx Answer: .3 c)…

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Q: 1. z dz along a straight line parallel to the x axis. (1 + i

A: Given: ∫11+i z dz To find: Value of the limit.

Q: 1. For the parametric equations: x = 4t3, y= 2 +60t – 8t?, find: a) All values of t at which the…

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Q: A particle P moves on the curve r= 3i + 4t²j. The distance of P from the origin when t =1 is

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Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: S r(t) = 3t2 ly(t)…

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Q: s) Find an equation of the tangent plane to the surface z = 2+2x² +5 at the point P(-,1,3). our…

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Q: x = et – 1, y = e2t a) Eliminate the parameter to find a Cartesian equation of the curve.

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Q: H.W 2-Write the tangent line equation. P. (J2. V2) P.(7,1) (1) x²+y² = 4 %3D (2) x²-y =1 (3) xy =-4…

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Q: A curve C is defined by the parametric equations x(t) y(t) = 8t³ – 2t² + 4. Write the equation of…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x f(y) for: S¤(t) ly(t) 3t? 4 +…

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Q: Find the equation of the curve at any point  P(x,y) of a curve the subtangent equals -1/x

A: Given that the subtangent equals -1x. Then we get, tan θ2=-1x⇒tan θ=2 tan θ21-tan2 θ2⇒tan…

Q: dy in terms of t: Differentiate parametrically to find dx x = 4t2,y = 2t3 None of the other answers

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Q: Find parametric equations for the tangent line at t=3 for the motion of a particle given by…

A: To work out the equation of the tangent in terms of t

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

A: To find the critical points

Q: Consider the following. x = sin(t), y = csc(t), 0 <t< n/2 (a) Eliminate the parameter to find a…

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Q: The cartesian equation of the curve x = 1-t,y= vt is : (a)y = 1- x2, x 2 0 (b)y = 1 - x ,x 2 0 (c) x…

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Q: The cartesian equation of the curve x = 1-t.y vt is: (a)y = 1-x, x2 0 (b)y = 1-x .x 20 (c) x=1-…

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Q: (C) Find parametric equations for the line that is tangent to the curve u(t)=1²1+ sect²j+ √² +3 k at…

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Q: 8. Find parametric equations for the tangent line to the curve r(t) = (t² +3t +2, e' cost, In(t +1)…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve for the critical points of parametric equation x=t^3-1, y=t^2+t

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Q: A curve is parameterised by the equations x= 3t +2 and y=9t² +6t +1, where t20. The Cartesian…

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Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = t + 1  y =…

A: We have to find rectangular equation

Q: Consider the following equations. x = 1 − t2,    y = t − 2,    −2 ≤ t ≤ 2   Eliminate the parameter…

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Q: Find the parameter k such that the function y cos(kx) satisfies the equation y + 5y" = 0.

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = = f(y) for: S¤(t) = 2t? ly(t)…

A: The solution are next step..

Q: A parabola has an equation of x² = 6y + 10. Compute the equation of a tangent to the curve which has…

A: Given that a parabola has an equation x2=6y+10. Here we have to compute the equation of a tangent to…