Q.2 write, in parametric form, the equation of the straight line that is perpendicular to r= (2i + 4j) + (i – 2j)t and goes through (1, 0).

Q: find parametric equations for the given curve.  4x − y 2 = 5

A: Given curve is 4x − y 2 = 5 To find the parametric equations :-

Q: a) Find the best straight line fit to the given data points (-3,7), (1,–1),and (3,–7). b) Find the…

A:

Q: 3 Find the distance of the point Q from the line L with the following parametric equations. x = -1+…

A: The given line is: x=-1+4ty=1+3tz=7-3t  To find the distance of the point Q 36-5 from the given line…

Q: Complete the parametric equations for the line where the planes - 5x – 2y + 2z = 2 and - 13x + 10y +…

A:

Q: 12. Given the parametric equations r(t) = 3t + 2 and y(t) = t+1 for 0 <t< 4, find the rectangular…

A: For getting the rectangular equation eliminate the t

Q: oblem 20. Does the line with parametric equation x = 21 + 1, y = 3t- 2, z = 2t – 2, 1 e R intersect…

A:

Q: Complete the parametric equations for the line where the planes – 3x – 9y – 12z - 11x + 2y – 10z 33…

A:

Q: Given the parametric equation. x = 2 cost y = 3sin t 0<t<2n

A: For (B), We need to find the curve whose parametric equation is given above.

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 parametric equations for x3+y/3-4 , when 0s0<2n are:

A: See the attachment

Q: 6. Find the parametric equations of the line along which the following planes intersect. t: x +y +…

A:

Q: The lines L1 and L2 are determined by the following symmetric and parametric equations,…

A:

Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

A:

Q: 4

A:

Q: Find the parametric equation for the curve 12x + 17y = 18. (Use symbolic notation and fractions…

A: Given curve  12x+17y2=18

Q: Q3/ Find the real number such that the line of parametric equations x = t, y = 2 - t, z= 3+t, is ax…

A:

Q: Q6) The parametric equation of the x_axis is: * O t-1 O x=0 O x=t O x=1

A: Since at x-axis, y and z axis are both zero and only x is varying so general parametric equation for…

Q: 8. The position of a particle moving in the xy-plane is given by the parametric equations x =…

A:

Q: In three space, find the parametric equations of the curve C of intersection of the cylinder S: a +…

A:

Q: The position P(x, y) of a particle moving in the xy-plane is given by the equations and parameter…

A: Given data:     The given x-coordinate in parametric form is: x=t1/2. The given y-coordinate in…

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: In three space, find the parametric equations of the curve C of intersection of the cylinder S: x2 +…

A: Here we have to find the parametric equations of the curve C of intersection of the cylinder S:x2+y2…

Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1…

A:

Q: Find a parmetric equation that describes the entire set of points (x,y) such that 4x2-9y2=36

A: The given curve can be represented in a different manner as shown on the whiteboard.

Q: Q2:- Find the parametric equations for the following Cartesian equations. 1) x=(/y² + 4 + 2) 2) 4x2…

A:

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

A:

Q: 18. What is the rectangular equation of the curve whose parametric equations are x = 2t, y= 2+ 3t*?…

A:

Q: The motion of a particle in space is defined by the parametric equation x(t) = −t2 + 3t + 1, in…

A: Given: x(t)=-t2+3t+1  in meter y(t)=2t+5 in meter

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: 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: Eliminate the parameter in the parametric equations æ(t) = /t – 1 and y(t) = -8t + 6 to find a…

A:

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 2x + 4y +…

A: Equation of line normal to graph of functions f(x) is :  r&lt;t&gt; = &lt;x0,y0,z0&gt; +…

Q: Find the parametric equation for the line where the planes 4x – by + 8z = - 36 and – by + z = – 15…

A:

Q: In three space, find the parametric equations of the curve C of intersection of the cylinder S: æ? +…

A:

Q: s on the graph of parametric equations 2VE %3D tF (2,0), then |PF|= B. 5 C. 6 D. 7

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 2a) Find the slope of the curve represented by the parametric equations, at 0 = T/6 %3D x = 5+ 3 sec…

A: The curve given is  x=5+3sec θy=-3+4tan θ

Q: Consider the parametric equations x = √t − 2 and y = (1/ 2)t + 1, t ≥ 2. What is implied about the…

A: Consider the given parametric equation as x=t-2 and y=12t+1

Q: (C) Find parametric equations for the line that is tangent to the curve u(t)=1²1+ sect²j+ √² +3 k at…

A:

Q: Find the parametric equation for the line where the planes 4x – 6y + 8z = - 36 and – 6y + z = – 15…

A:

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: %3D Sa(t) = 4t2…

A:

Q: Consider the parametric equations: x = 2t2, y =43t3. Find d2ydx2at the point t=18 without…

A: Given parametric equations are x=2t2 and y=43t3. To find d2ydx2 at the point t=18 without…

Q: Find the parametric equation for the line where the planes - 3y = 3 and -r - y+ 5z = - 9 intersect.…

A: The intersection of two plane is a line or the overlapping plane. Direction of the line is…

Q: Find the parametric equations of the line L which is parallel to the line L1 : 2x = 5y = 7z and…

A: The parametric equation of a line L that passes through a point a and parallel to a line r is given…

Q: Find the (perpendicular) distance from the line given by the parametric equations ¤(t) -2 – 2t y(t)…

A: Solution: The objective is to find the perpendicular distance

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

A:

Q: Given the parametric curve: x = t3-6t2 y = t2-4t What are all the points that the curve passes…

A: Given: the parametric curve:

Q: Find parametric equations for the given curve. 9x2 + 4y2 = 36

A: Given -            Parametric equation -              We define x and y both in terms of a third…

Q: Find the parametric equation of the line passing through P (1, 2, 3) and perpendicular to the lines…

A: Given:  r1= (2+t)i + (1+2t)kr2=(-t)i + (1-6t)j - (2t)k

Q: The position in feet, of a baseball t seconds after being thrown from third base to first base is…

A: A)                                t                        x=80 t             y=-16t2+24t+5 0…