Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: S r(t) = 3t2 ly(t) = - 6+ 3t The resulting equation can be written as z =

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

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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…

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Q: The cartesian equation of the curve x = VE .y 1-t is :

A: The characterstics eqaution of the curve is

Q: 1. Consider the curve C given by y = 5 + 2x3/2, 0 < x <1. (a) Find the length of the curve C.

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Q: 15sin (t), y 8cos (t) 3. Eliminate the parameter to find a Cartesian equation of the curve: x =

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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: d²y Find- when t = 1 if given the parametric functions as below, dx2 x = 3e5t y = te-5t

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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 simplified Cartesian equation of the form y = mx + b for S ¤(t)…

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

A: Explanation of the answer is as follows

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

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Q: Draw the isoclines with their direction markers and sketch several solution curves, including the…

A: The given differential equation is dydx=3x, y(0)=-3

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: e length of the curve y = V 4 – x2, 0 <x< 2. ing the shape of the curve.

A: Use the arc length formula to find the length of the curve.  y=(4-x2)1/2 , 0&lt;=x&lt;=2

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 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: (8.4) Find a rectangular-coordinate equation for the curve x 2cos(t) and y = 3sin(t), 0<t< 2n. %3D

A: The given x = 2cost y = 3 sint

Q: B.2. Express to its standard form, determine the center, radius ar 10. x² + y? + 10x – 14y + 58 = 0…

A: # We are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: Q1. A) Find a Cartesian equation of the curves. 1) r = 2 sin 0 2) r = 5 csc 0

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Q: Consider the following.x = et - 6y = e2t(a) Eliminate the parameter to find a Cartesian equation of…

A: From the equation for x, write t in terms of x.

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sa(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: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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

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Q: The cartesian equation of the curve x = VE ,y = 1-t is: (a)y = 1-x2, x20 (b)y = 1-x ,x20 %3D (c) x =…

A: Cartesian equation is a equation which involves x and y , just I have eliminate the t from given…

Q: [x(t) = 3t² – 3 v(t) = 2t +1 Find the slope of the tangent to the parametric equations at t=1.

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

A: Given,           xt=11-t           yt=17-4t

Q: The cartesian equation of the curve x= f ,y = 1-t is : (a)y = 1– x², x 20 (b)y =1-x ,x 2 0 (c) x = 1…

A: The given curve is in paramatric form as following- x=√t y=1-t Where t is a parameter. To find the…

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: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: 3t2 Sæ(t) L y(t) -…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x=f(y) for: {x(t)= −5t^2 y(t)=…

A: Any curve in the rectangular coordinate is parameterized by using a single variable, say, t to…

Q: The cartesian equation of the curve x = vE .y 1-t is: (a)y = 1- x2, x 2 0 (b)y = 1-x ,x 20 (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: 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. x = et, y=e-2t (a) Eliminate the parameter to find a Cartesian equation of…

A: Given  x=et  ,  y=e-2t   Then we can find out cartesian curve by eliminating parameter 't' .

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: 43. Eliminate the parameter to find a Cartesian equation of the curve. x = e' - 1, y = e2t. O…

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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: Eliminate the parameter t to find a Cartesian equation in the form x=f(y)x=f(y) for: {x(t)=−5t2…

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Q: Find 2 for the parametric curve c(t) = (3r³, 3r² – 3) at the point t = 4. (Use symbolic notation and…

A: Consider the parametric curve  ct=3t3,3t2−3 To find : dydxt=4