Consider the following parametric equations: 12 - 8 3t – 16 and y = 2 X = 2 Step 2 of 2: Plot the points that result from the integer t-values from zero to five on the graph.

Q: Graph the parametric graph and find the corresponding rectangular equation by eliminating the…

A: Given,

Q: The following are parametric equations of the line through (x1, y1) and (x2, y2): x = x1 + t(x2 -…

A: From x = x1 + t(x2 - x1) we get: x-x1=tx2-x1 t=x-x1x2-x1   From y = y1 + t(y2 - y1) we get:…

Q: For the parametric equations: = 31e-4t and y = 32et %3D da

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Q: For the parametric equations: 22e2t and y = 47et

A: Derivative: - The derivative formula is one every of the foremost fundamental notions in calculus,…

Q: а) Given a pair of parametric equations x =1-2t, y =r +4. i. Eliminate the parameter of t to obtain…

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Q: Given the set of parametric equations x = 2t2- 1 and y = 3t + 4, eliminate the parameter t and…

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Q: Which of the following correctly graphs the parametric equations x(t) V3t – 1 and - y(t) = -2t + 1?…

A: parabolas with a vertex(h,k)(other than the origin, we use the standard form(y−k)2=4p(x−h)(for…

Q: h) Find a parametric representation of the Parabolic equation z = 9(x² + y²)

A: Parametric representation of the Parabolic equation z = 9(x² + y²) will be cartesian coordinates as…

Q: Eliminate the parameter in the parametric equations x(t) = -6t + 8 and y(t) the equations. = 30t –…

A: givenx=-6t+8....................(i)and y=30t-10...................(ii)x=-6t+86t=8-xt=8-x6

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: Which of the following is the correct set of parametric equations for the graph pictured below? a)…

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Q: find parametric equations for the given curve.  x 2 + y 2 = 49

A: Given: find parametric equations for the given curve.   x2 + y2 = 49=72The parametric equation for a…

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: Consider the following parametric equations. I = -3t – 1 y = -3t – 2 te (-00, 00) a) Find four…

A: Follow the procedure given below.

Q: Given the parametric equations, x = t - 1 and y = -t, find the point on the graph at time, t = 4.…

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Q: Find the rectangular equation for given parametric equations x= 3t      y=t+3

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Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =…

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Q: Exn=9sin+2 and v(r)-8 cost+ 2, eliminate the parameter to write the parametric equations as a…

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Q: Consider the following parametric equations x=3+2t -t y=t+1 , -1<t<3 Sketch the graph of the…

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

Q: Eliminate the parameter in the parametric equations a(t) = –8t – 9 and y(t) = –32t + 9 to write a…

A: Given parametric equations, x(t)=-8t-9 y(t)=-32t+9

Q: 7) Find a rectangular equation equivalent to the given pair of parametric equations. x=2t-1 „y=t^2;…

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Q: For the parametric equations: a = 12e and y = 29e3t dr (i) dt dy (ii) dt dy (iii) dr || ||

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Q: Write the parametric equations x = 3e', y = 3e as a function of x in Cartesian form. y = with x > 0.

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Q: -4t For the parametric equations: x = 48e and y = 37e5t

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Q: The following are parametric equations of the line through (x1, y1) and (x2, y2):x = x1 + t(x2 - x1)…

A: Given: the parametric equations of the line through (x1, y1) and (x2, y2)x=x1+t…

Q: Which of the following correctly graphs the parametric equations x(t) = v4t – 4 and - y(t) = 3t – 3:

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Q: A lizard moves through the plane with its position at t seconds given by the parametric equations…

A: parametric equations x=3cos(2pi t)+2, y= -6cos(2pi t)+1.

Q: 7. write the following set of the parametric equations in rectangular form. Graph the parametric…

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Q: find parametric equations for the given curve. . (x + 9) 2 + (y − 4) 2 = 49

A: To find the parametric equation of the given curve (x+9)2+(y-4)2=49 Given equation is in the form of…

Q: ind a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +z…

A: We find  a parametric equations for the line that is perpendicular to the graph of the equations 3x2…

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: *) Write the parametric equations y = x = 4et, y = 8e-t as a function of x in Cartesian form. with x…

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Q: The following are the parametric equations for the motion of an object: x(t) = t cos(5t^2 + 2);…

A: Slope is basically how steep a line is. If a line is steep downward then slope is high negative. If…

Q: Graph the following parametric equations by hand, using values of t in [-2,2]. Make a table of t-,…

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Q: Suppose a ball is hit with a horizontal velocity of 80 ft/sec and an initial upward velocity of 90…

A: NOTE: Refresh your page if you can't see any equations. . here the given horizontal distance is…

Q: The following are the parametric equations for the motion of an object: x(t) = t cos (5t² + 2), y(t)…

A: Given a parametric equation, x(t)=t cos5t2+2,  y(t)=t2 ln(-5t)

Q: Find the parametric equation from the given rectangular equation a.    y = 3x-3   b.   y= (x-3)2 /2

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Q: Which of the following correctly gives the Cartesian form of the parametric equations x(t) = = 6t –…

A: Parametric Equation of x : x(t)=6t-3⇔x=6t-3 Parametric Equation of y : y(t)=-18t-11⇔y=-18t-11

Q: x+4 5 y-2 -5 2+1 1

A: Given the equation is x+45=y-2-5=z+11

Q: Write the parametric equations = Vi, y = 2 – t x in Cartesian form. y = with x > 0

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Q: Graph the following set of parametric equations and show the orientation of the curve: x=-3t +1 17.…

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Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =…

A: Just put the value of t= 3 into the parametric equations and get the required point on the graph.…

Q: Write the parametric equations x = 4t – t³, y=2 – 3t in the given Cartesian form.

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Q: Given the set of parametric equations x = 2t2 - 1 and y = 3t + 4, eliminate the parameter t and…

A: Solution:x=2t2-1    and y=3t+4To eliminate t and describe the graph of the resulting equation.

Q: Consider the parametric equations below.x = 4t - 3y = 3t + 1(b) Eliminate the parameter to find a…

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

Q: find the parametric equation for each of the following a.) for the line of slope 2 passing through…

A: a) Firstly, we will find the equation of line of slope 2 passing through the point (-2,4) by using…

Q: Eliminate the parameter t to find a Cartesian (rectangular) equation in the form x=f(y) for the…

A: Topic = Algebra

Q: Write the parametric equations x = 5t – t, y= 2 – 5t in the given Cartesian form. x =

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Q: Write the parametric equations, x= 2et   y= 5e-t ,  as a function of x in Cartesian form.

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Q: 15) Find a set of parametric equations to represent the graph of y = 4x – 3 using the parameter t =…

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