Consider the parametric equations below. x = 2 - 1, y = t + 4, -3 sts 3 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. 8 8 6 2 4 8. 4 8. y y 6- 2- -8 -6 -4 -2 -8 -6 -4 -2 (b) Eliminate the parameter to find a Cartesian equation of the curve. for 1s ys7

Q: Consider the parametric equations below. x = t2 - 5, y = 1 - 2t, -3 sts 4 (a) Sketch the curve by…

A: Consider the parametric equations:

Q: 2.) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

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Q: 10 + x 8 10 -10 –8 -6 -4 -2 4 6 -2 -4 -6 -8 -10- Which of the following sets of parametric equations…

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

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Q: Consider the parametric equations below. x = 1+t, y = 1 - 3t, -2sts 3 (a) Sketch the curve by using…

A: Consider the parametric equation  x=1+t,y=1-3t,    -2≤t≤3

Q: Which set of parametric equations represents the curve shown in the figure? Select the correct…

A: option 1 x = 3t -1⇒ 3t  = x+1⇒ 3t  = x+12⇒ t  = x+123Hence y = -2t+1 becomes y = -2 x+123+1 As per…

Q: Which set of parametric equations represents the curve shown in the figure? Select the correct…

A: To better understand the graph of a curve represented parametrically, it is useful to rewrite the…

Q: Consider the parametric equations below. x = t2 − 2,    y = 1 − 5t,    −3 ≤ t ≤ 4 (a) Sketch the…

A: We will make a table for t,x and y. x=t^2-2y=1-5t

Q: 6. Consider the parametric equations, x = 3t + 2, y = t2 a) Graph the curve C for -2<t< 2. Indicate…

A: a) We make a table for the values t x y -2 -4 4 -1 -1 1 0 2 0 1 5 1 2 8 4 Then we…

Q: Consider the parametric equations below. x = t2 - 1, y = t + 2, -3 sts 3 (a) Sketch the curve by…

A: (a) The parametric curve is given by the equation, x=t2-1y=t+2-3≤t≤3 Thus,  the points on the curve…

Q: 8. Let, x - 1- and y -1+1 a) Complete the chart and sketch the curve represented by the parametric…

A: The given parametric equations are x=1-t2 and y=1+t. Complete the given table as follows. t x y…

Q: i) Eliminate the parameter for the given set of parametric equations, sketch the graph of the…

A: Given: x=6-7 e-2t &amp; y=4+3 e-2t To eliminate the parameter t &amp; to sketch the graph of…

Q: х 3 5t – 4, y = 4t + 2 (a) Sketch the curve by using the parametric equations to plot points.…

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: Consider thne par. x = 2 - 1, y = t + 2, -3 sts3 (a) Sketch the curve by using the parametric…

A: b) Given parametric equations x=t2-1, y=t+2, -3≤t≤3. Solving x=t2 -1 for t we get,t=±x+1 for…

Q: What does the graph of the parametric equations x (t) = 2-t and y(t) = (t + 3)², where t is on the…

A: Given parametric equation:x(t)=2-ty(t)=(t+3)2 where t is on the interval  [-4, 0]

Q: Consider the parametric equations below. x = t2 - 1, y = t + 4, -3 sts 3 (a) Sketch the curve by…

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Q: Consider the following. = VE y = 3-t (a) Sketch the curve represented by the parametric equations…

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Q: Write the Cartesian equation of the line given by the parametric equations æ(t) y(t) z(t) 5 – 4t -1-…

A: Givenx(t)=5-4ty(t)=-1-6tz(t)=6tIt means thatx-5-4=ty+1-6=tz-06=tcan also be written…

Q: Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the curve.…

A: To sketch the parametric curve and eliminate the parameter , to find the Cartesian equation of the…

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A: We have to find parametric equation for the line that is perpendicular to the graph of the given…

Q: 17. The Cartesian equation of the curve with parametric equation x = 1+t?, y = 2t, where tis a…

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Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: Saved Match the parametric equation with the corresponding plane curve displayed. x-8-2 y-644 130…

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Q: Consider the parametric equations below. I= 4, y =t+7 (a) Sketch the curve and indicate with an…

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Q: please make curve clear and determine the direction (clockwise or counterclockwise) of the curve.…

A: Given that       x = -3t , y = t2  , -3 &lt;= t &lt;= 2  Here we have to draw the graph.

Q: Consider the parametric equations below. x = Vt, y = 7 - t (a) Sketch the curve by using the…

A: Given query is to find the graph of the parametric equation.

Q: 1. Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the…

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Q: Sa(t) = t2 – 3 lu(t) = 2t +1' Consider the parametric curve -2 <t< 3. At which time(s) does the…

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Q: Consider the parametric equations below. x = Vt, y = 10 – t (a) Sketch the curve by using the…

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Q: Find length of the curve described by the parametric equations a = 3t2, y = 2t, 0<t< V3. A. 3/3-1 B.…

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Q: Consider the parametric equations below. x = 2, y = t3 (a) Sketch the curve by using the parametric…

A: As t increases, we're going to the right on both. Now to eliminate, x=t^2 So,  t=x^(1/2)…

Q: Sketch the parametric equations by eliminating the parameter. x = sec(t), y = tan(t) y y 4 4 2 X -4…

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Q: consider the curve represented by the parametric equations: x=2t-10*sin((pi/6)*t), y=t. (a) Sketch…

A: Here, we are going to solve only 1st two subparts and for the remaining parts please post the…

Q: What does the graph of the parametric equations x(t)=3−t and y(t)=(t+1)2, where t is on the interval…

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Q: 1. The Cartesian equation of the curve given in parametric equations x = et - e-t , y = e' + et is…

A: As per guideline we have to do only one question

Q: Find the parametric equations for the line of intersection of the planes x+y-z = -20 and 9.x + 3y +…

A: Given planes, x+y-z=-20 and 9x+3y+z=16. The objective is to find the parametric equations for the…

Q: 1. For the parametric equations x=-, 2t? ア= t>0 a) b) Eliminate the parameter to obtain an equation…

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Q: O Given two points P(6,3,1) and Q(5, 0,0), find the parametric equations for a smooth curve, C:x =…

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Q: x = t2 - 2, y = 1- 3t, -3 sts 4 (a) Sketch the curve by using the parametric equations to plot…

A: X = t^2 -2 , y= 1-3t

Q: 5-6 Find the slope of the tangent to the parametric curve at the indicated point. 5. x = t? + 2t,…

A: To find the slope of the tangent to the parametric curve at the point 15,2 x=t2+2ty=2t-2t

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: Given parametric equations, x=et,y=e3t+4 To find y.

Q: What is the rectangular form of the parametric equations? z(t)=t-3, y(t) = 2t2-1, where t is on the…

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Q: Finding the length of the curve with parametric equations  x(t) = 3t2,  y(t)=2t3,  0 ≤ t ≤ 2

A: Given: - The parametric equations are, x(t)=3t2, y(t)=2t3, 0≤t≤2 To find: - The length of the curve…

Q: Consider the parametric equations below. x = t2 − 2,    y = t + 1,    −3 ≤ t ≤ 3 (Eliminate the…

A: Eliminate the value of t using both parametric equations of x and y.

Q: Consider the curve whose parametric equations are x (t) = 2t? – 4t + 2 and y (t) = 2t – 8t? + 8. At…

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: We will make a table of values for t,x,y t x y -2 5.4 2.1 -1 1.7 1.4 0 1 1 1 1.4 1.7 2…

Q: Consider the parametric equations below. x = t2 - 3, y = t + 4, -3sts 3 (a) Sketch the curve by…

A: (a) t x y -3 (-3)2-3 = 6 -3+4 = 1 -2 (-2)2-3 = 1 -2+4 = 2 -1 (-1)2-3 = -2 -1+4 = 3 0…