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

Q: find a cartesian equation for the curve r2 = 14

A: Find a cartesian equation for the curve         r2 = 14

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

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Q: Find curve sketching for the following equation-

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Q: Find the equation of y, glven the derlvative and the Indicated polnt on the curve. dy = 2x- 1 xp

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Q: Consider the following. x = et - 4, y = e2t (a) Eliminate the parameter to find a Cartesian equation…

A: To find The cartesian equation of the curve by eliminating the parameter

Q: The curve has an equation of x = y^3, find the radius of gyration with respect to the x-axis. * 0.89…

A: Given curve is x=y3. We have to find the radius of gyration with respect to the x-axis. Since, no…

Q: Eliminate the parameter to find a Cartesian equation of the curve: x = VE ,y = 1 – t and then sketch…

A: Given,x=t...............(1)andy=1-t...................(2)differentiating both the equation w.r.t.…

Q: Identify the curve by finding a Cartesian equation for the curve r = 4secθ

A: The given curve is,

Q: Eliminate the parameter tt to find a simplified Cartesian equation of the form y=mx+by=mx+b for…

A: Here the parametric equation is given. So to find the simplified Cartesian equation initially we…

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: State the following curve in the form of a parameter equation a. y = 1-x², z = -2 b. y²-z²=9, x =4

A: a. According to question,Given equation,y = 1-x2 ,  z = -2

Q: Consider the curve given by the equation 0 = y3 +xy +2ax + 1+x4  y'(0) = ?

A: Answer and explanation is given below

Q: Q2- Sketch the curve: y = (x+1)

A: The function given to us is  y=x(x+1)2

Q: Find a Cartesian equation for the curve and identify it. r2 = 14

A: We have to find Cartesian equation

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

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Q: dy = 18yx³ dx and whose y-intercept is 4. y(x) =

A: A detailed solution is given below

Q: Find a Cartesian equation for the curve and identify it. 12 = 2

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Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx b) y = -

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Q: Eliminate the parameter to find the Cartesian equation of the curve, then sketch the curve and…

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Q: Given the equation 2y2 – 2xy – 4y +x? = 0 of a curve, obtain the x-coordinates of each point at…

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Q: A curve is defined by the equation xy - 6+x?y = 0. (a) Verify that the curve passes through the…

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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 ,x20 (c) x = 1…

A: Eliminate t in given equation.

Q: y =(+ + +)* x = 4t + 1, 4

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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: find a Cartesian equation of the curve

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Q: (a) Eliminate the parameter to find the Cartesian equation of the curve. (b) Sketch the curve and…

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Q: 1. Sketch the curve x? + x?y? = a?y², a > 0. Enumerate the steps in your solution.

A: As per guideline I can solve only one question at a time. Ask rest of the question next time.…

Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x 1+2nx b) y = =

A: Get  the asymptote of equation in a: y=limx→∞x2e-x   =0 Thus, plot the graph:

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: The equation of the curve is y? = x' + 8x. Find the x-coordinates where tangent lines are vertical.

A: We are given equation of curve  Y^2 = x^3+8x We have to find points where tangent lines Are vertical…

Q: ²+2x 5. Sketch the curve: y? x-1

A: The graph of the given function is plotted below.

Q: Find a Cartesian equation for the curve and identify it. r2 = 10

A: Given, We have a polar equation  r2 = 10

Q: Eliminate the parameter to find a Cartesian equation of the curve.

A: Given  x=sin(t)  y=csc(t) and 0<t<π/2 We need to find the Cartesian equation and graph

Q: find a cartesian equation for the curve r2cos(2θ)=1

A: r2cos2θ=1

Q: Trace the curve y? = (x - 1)(2x + 3)(3x – 1). %3D

A: Trace the curve y2=(x-1)(2x+3)(3x-1)

Q: The equation of the curve is given as y = 3x + 1

A: topic - slope of curve at a point

Q: Sketch the figure of the described situation in the problem and then solve. Determine the equation…

A: Tangent and normal line: At the point of tangency, the normal line is defined as the line that is…

Q: Consider the equation abaixo a) Calculate y′. b) Find the two points where the curve below crosses…

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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: Eliminate the parameter to find a Cartesian equation of the curve. x = t2,    y = t5

A: A curve is a two-dimensional object with equation of the form y=f(x). Curves can be parameterized to…

Q: Eliminate the parameter to find Cartesian equation of the curve: x=2 sint, y = 5 cost, -n <t<n 6. a

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Q: The equation x2 + y2 + Dx + Ey + F = 0 is called the_________ form of the equation of a circle.

A: The general form of the equation of a circle is x2+y2+Dx+Ey+F=0. D, E and F are constants.

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x? + 4x – 12

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = et, y = e-t

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Q: Discuss the properties of the curve and sketch fully: a) y = x2 e-x b) y = 1+lnx

A: To sketch the curve : a) y = x2e-xb) y = 1 + ln xx

Q: Discuss the properties of the curve (w/ solution) and sketch fully: y = x?e-*

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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: x = et – 3, y = e2t (a) Eliminate the parameter to find a Cartesian equation of the curve.

A: As per company guidelines, I'm restricted to answer your first question only. So if you want other…