d) Find the parametric equations for the line of intersection of the two planes.

Q: The following are the parametric equations for the motion of an object:

A: This question is taken from the calculus in which we have to find the slope from the given…

Q: Find a set of parametric equations for the rectangular equation that satisfies the given condition.…

A: Given :                y = 2 x - 5  ,  t = 0        at point (3,1)

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Q: Complete the parametric equations for the line where the planes – 4

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Q: Eliminate the parameter to write the parametric equations as a Cartesian equation. If x(t) = 3t – 2,…

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

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Q: The parametric equation for the y-axis is:

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Q: Find parametric equations for the complete parabola x = y2. Answersare not unique.

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Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

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

A: x = 2+5 cost → x-25=cost    y = 3+2 sint → y-32 = sint  Square both equations and add them.…

Q: Complete the parametric equations of the line through the point (6,-6,8) and perpendicular to the…

A: Line passing through the point 6, -6, 8 and perpendicular to the plane 7x+2y-3z=-8. Since the line…

Q: Find two different sets of parametric equations for the rectangular equation y = x2 + 4.

A: To find the set of parametric equations

Q: Find the parametric equations of the line perpendicular to l1 and l2 that contains the point (-1.…

A: We have to find equation of a line which is passes through the point (-1,-1,-1) and Perpendicular to…

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

A: We are given the equation of the function in parametric form and we need to find the cartesian form…

Q: Find two different sets of parametric equations for the rectangular equation y = 4x - 3.

A:

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

A:

Q: (a) Show that the parametric equations x = X1 + (X2 - X1)t, y = y1 + (y2 – Y1)t where 0 sts1,…

A: Given Points are P1(x1,y1) and P2(x2,y2)

Q: Consider three points in three-dimensional space: A = (15, 2, –3), B = (2, –3, 15), C =(-3, 15, 2)…

A: The parametric equation of a line passing through the point and in the direction of  is defined by…

Q: The parametric equation of a line passing through A(1,1,1) and B(-1,2,0) is

A:

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= 5 y= f10…

A: Write the following parametric equation in cartesian equation

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

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Q: The angle and the parametric equations for the intersect line between planes a + y = 1, and 2r+y-2z…

A: Given, x+y=1, 2x+y-2z=2 we know angle between two plane is…

Q: Derive the parametric equations of the line of intersection of the two planes: II : 2x – y + 2z = -1…

A: We need to find the vector equation of the line of intersection. In order to get it, we’ll need to…

Q: parametric

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Q: Find the parametric equations of the line segment through the origin and perpendicular to the plane…

A: Given: Given equation of the plane is x-2y+3z=5 We want to find the parametric equations of the line…

Q: Complete the parametric equations of the line through the point (4,-8,3) and perpendicular to the…

A: See this solution in below

Q: Find two different sets of parametric equations for the rectangular equation: y = 2x - 5.

A: Given, y=2x-5

Q: passes through (-2,-1) and perpendicular to the line y= 3.

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= -2 t+6 y=…

A:

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: Write the parametric equations x=2sinθ,y=9cosθ,0≤θ≤πx=2sin⁡θ,y=9cos⁡θ,0≤θ≤π in the given…

A: Given information: The parametric equations are x=2sinθ            y=9cosθ             Can be…

Q: Explain how a pair of parametric equations generates a curve in the xy-plane.

A: Our Aim is to explain the fact that how a pair of parametric equationsgenerates a curve in the…

Q: What is the rectangular equivalence to the parametric equations? x(θ)=2sinθ+1,y(θ)=3cosθ−2 , where…

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Q: The position of an object at time tis given by the parametric equations

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Q: Find two sets of parametric equations for the given rectangular equation. y = 8x + 4

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Q: Find two different sets of parametric equations for the rectangular equation  y = x2

A: y=x2 Let x=3t, then y=3t2=9t2 Now let x=4t, then  y=4t2=16t2

Q: Find a set of parametric equations for the rectangular equation. y=(x+3)2 /5

A: Refer to the question, we have to write the set of parametric equations for the rectangular equation…

Q: Write the parametric equations in rectangular equation form by eliminating the parameter.

A: Please refer the attached image for complete solution. THANK YOU

Q: Select two different sets of parametric equations for the rectangular equation. 7 y =

A:

Q: Find two different sets of parametric equations for the rectangular equation  y = 4x + 1, t = −1 at…

A: Given equation is y=4x+1, t=-1 and the point is (-2,-7).

Q: Determine the parametric equations of the path of a particle that travels the circle:

A: Given,        (x-4)2+(y-3)2=49 Time interval is 0≤t≤2π

Q: Complete the parametric equations of the line through the point (8,6,-2) and perpendicular to the…

A: equation of line passing passing through the point 8,6,-2 and perpendicular to the plane , x-7y-z=-3

Q: Find a set of parametric equations for the rectangular equation that s y = 2x – 3, t = 0 at the…

A: let x = t + a put all the given points to find out the value if a x = 4 and t = 0 4 = 0 + a a = 4 so…