Find an equation of the circle with center at (-4,1) that is tangent to the y-axis in the form of (x−A)2+(y−B)2=C where A,B,C are constant. A=, B=, C=?

Q: Find three different pairs of parametric equations for the line segmentthat starts at (0, 0) and…

A: Direction ratio is = (6-0, 6-0)= (6,6) That is equivalent to (1,1) , (2,2) and (3,3)

Q: Find parametric equations and a parameter interval for the motion of a particle in the xy-plane that…

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Q: parametric

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Q: find a parametric equation for the line that is per-pendicular to the graph of the given equation at…

A: 41. Here the given as  Now we let

Q: 1) Find the parametric equations of the line that is tangent to circle x² + y2 = 25 %3D at point (3,…

A: Given: Equation of circle: x2+y2=25 and tangent at point 3, -4

Q: Find the equations of the lines tangent and normal to the curve given by the parametric equations x…

A: Given: x=4 costy=2 sin2tt=π3

Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 42² = 4…

A: To find: Parametric equation of the Intersections of the curves  4x2+y2+4z2=4 and y2=x2+2z2.

Q: find parametric equations for the given curve.  Line through (2, 5) perpendicular to y = 3x

A: Find parametric equations for the given curve.  Line through (2, 5) perpendicular to y = 3x

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at the…

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Q: Suppose a curve is given by the parametric equations x = f (t), y = g (t), where the range of f is…

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Q: Suppose parametric equations for the line segment between (-2, 10) and (8, 9) have the form: a + bt…

A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: Find parametric equations for the surface generated by revolving the curve y = 1/x about the x-axis.

A: When y = f(x) is rotated about x axis, we get a surface with parametric representation is,…

Q: (3) Find a parametric equation for the line segment joining (1, 0, 1) and (0, –2, 1).

A: The direction vector of the segment is: (0,-2,1) - (1,0,1) = (-1, -2, 0) Initial point is (1,0,1).…

Q: This is the problem  If a and b are fixed  numbers, find parametric equations for the curve that…

A: It is required to define the point P in a, b  and θ.

Q: Find parametric equations for the given curve. y = 4x2 - x

A: The given curve is y = 4x2 - x

Q: 14. The curve represented by parametric equations x = 4cose and y 4sine is a

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Q: Find parametric equations for the line through P = (2, 5) perpendicular to the line y = 4x − 3.

A: Given line, y = 4x − 3. To find the parametric equations for the line through (2,5) and…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: A particle is moving along the curve given by the parametric equations x=1+t, y=1−t. Determine the…

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Q: Find parametric equations for a circle of radius 2, centered at (3, 5).

A: Solution:Given    radius of the circle=r=2centre of the circle(h,k)=(3,5)To find the parametric…

Q: Graph the parametric curve x=2t-3, y=6t-7 by

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: In an open space, Thomas throws a ball at an angle of 70° to the horizontal with an initial velocity…

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Q: Find parametric equations for the circle x2 + y2 = a2, using as parameter the arc length s measured…

A: The given equation of circle is,

Q: Graph the curve given by the parametric equations below, and show its orientation. x=2 sin t, y=2…

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Q: Find parametric equations and a parameter interval for the motion of a particle that starts at (a,…

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Q: find parametric equations for the lines with the given description.  Perpendicular to the yz-plane,…

A: To find parametric equation perpendicular to yz plane passes through (0,0,2)

Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

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Q: Give parametric equations that describe a circle of radius R, centered at the origin with clockwise…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the length of the curve defined by the parametric equations

A: Given parametric equations are x=(5/6) t and y=5 ln((t/6)2-1) from t=7 to 9 W need to find length of…

Q: Find the parametric equations for the path of a particle that travels three quarters of the way…

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Q: Try to sketch by hand the curve of intersection of the circu- lar cylinder x + y² = 4 and the…

A: Given, Circular cylinder, x2+y2=4 Parabolic cylinder, z=x2

Q: Find parametric equations for an object moving clockwise along the ellipse (x2/25)+(y29)=1 beginning…

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Q: . Find the slope of the line tangent to the parametric curve x = 2cost and y = 2- cos²t for 0<t<n at…

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: find a parametric equation for the line that is perpendicularto the graph of the given equation at…

A: Given: x2+y2=25; -3,4 for finding equation of line that is perpendicular to given curve at given…

Q: Find the parametric equations for the line through the point (5, 2,9) and perpendicular to the plan…

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Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: Given, the surfaces:               x+y2+2z=4,   x=1  Point: (1, 1, 1) Let         z = 1-2t

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: This is the problem    If a and b are fixed numbers, find parametric equations for the curve that…

A: Let the coordinate of point P is (x,y). In the triangle OCD, sinθ=CDOCsinθ=yby=bsinθ Similarly,…

Q: Find a parametric equation for the line through the point (- 1, - 5, - 2) and perpendicular to the…

A: The parametric equation of the  line through the  points P0x0,y0,z0 and Plane a, b, c is x=x0+at…

Q: Find parametric equations for the path of a particle that moves along the circle x 2  + (y - 1)2…

A: A particle that moves along the circle .

Q: find parametric equations for the given curve. Segment joining (1, 1) and (2, 3)

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Q: Find parametric equations of the line through (-3,1,1) that is parallel to 2i – 5j+k. -

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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: Find parametric equations for the line through (8,4,6) parallel to the x-axis. X = y = - o <t< ∞

A: The equation passing through point (8,4,6). The parametric equation passing through point (8,4,6)…

Q: 1) Find the parametric equations of the line that is tangent to circle x² + y² = 25 at point (3, -4)

A: Given, Equation of circle: x2 +y2=25 at a point (3,-4). now, parametric equation of the line is…

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –…

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