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

Q: Find parametric equations for the line passing through the points (10,3,1) and (8,6,-2) using the…

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Q: Find the length of one arc of the curve whose parametric equation are x=2θ-2sinθ and y=2-2cosθ.

A: We have to find length of arc whose parametric equations are : x=2θ-2sinθ and y=2-2cosθ Suppose 0 ≤…

Q: The equation of the tangent line to the parametric equations, x = sine, y= 20 + cose at 0 = 0 is y =…

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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: Consider the parametric equations x = 2t – 5, y = 6. dy Use the derivative formula from Section 10.2…

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Q: The graph of the curve described by the parametric equations x = 2t2 and y =t³ – 3t has a point…

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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: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost 0≤…

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Q: 2) Graph the x, y-curve described by the parametric equation by eliminating t from the equation. x =…

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Q: Find the equation of the tangent line of the parametric equations x = 2 – 3 cos 0, y = 3+2 sin 6 at…

A: Given that: x=2-3cosθ and y=3+2sinθ

Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel…

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

A: Given,

Q: Eliminate the parameter t from the parametric equationsx = 3+1 2 sec t and y =2+  4 tan t.

A: Given parametric equations are x=3+12 sect and y=2+4 tant We have to eliminate the parameter t from…

Q: find parametric equation (cartesian) for tagent line to r=cos(2theta) at theta=2

A: The equation of the tangent line is

Q: Sketch the curve with parametric equationsx = 3t − 4, y = 3 + t^3

A: Here we have to sketch the curve with parametric equations.  x=3t-4; y=3+t3

Q: The parametric equations for the line tangent to curve of intersection of the surfaces x? + y? = 8,…

A: Given: The parametric equations for the line tangent to curve of intersection of the surfaces…

Q: Graph the pair of parametric equations with the aid of a graphing calculator x = 4 sin t - sin 4t, y…

A: Given x=4sint-sin4ty=4cost-cos4t0≤t≤2π

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

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Q: Let parametric equation of a line L: (x,y) = (1,1) + a (-2,1), therefore it is besides through to…

A: Given that, L: (x,y) = (1,1) + a (-2,1)point (1,1)

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 the parametric equations of a vertical line through point (5,-7). Assume s = 0 corresponds to…

A: Solution

Q: Find the distance from the point (3, 2, 5)to the line with parametric equations x=t,y =l +t ,z = 2 +…

A: The equation of the line in matrix form:                                                xyz = 012 +…

Q: 9. Show that the curve with parametric equations x = sin t and y = sin(t + sin t) for 0st s 2n has…

A: Given that the curve with parametric equations are x=sint,y=sint+sint. First find the slope that is…

Q: Find parametric equations of the line containing the .point (2, 3,-1) and normal to the plane x+…

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Q: Find parametric equations for the path of a particle that moves along the curve y=x from (1, 1) to…

A: Given Parabola is y = x²

Q: 4. Find the equation of the tangent plane at the point (-2, 1, -3) to the ellipsoid 22 + y? + = 3 4

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Q: 10. Find the value of 2 for the parametric curve xx= y = 2t2 -6 at the point (1.-6).

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Q: find parametric equations for the given curve. Circle of radius 4 with center (3, 9)

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Q: I need to get the parametric equation for a line between the points (0,1,2) to (3,0,-1). I have the…

A: Line passing though the points 0, 1, 2 & 3, 0, -1. Now let, x0, y0, z0=0, 1, 2 & x1, y1,…

Q: 5. Determine the slope of the tangent line, the the equation of the tangent line, and the concavity…

A: this is the equation of tangent line.

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: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: 6. Find the distance between the point (- 3, 2, 1) and the line with parametric equations x = 3 –…

A: Consider a point on the line (3-2t, 1-t, -3t) which is the foot of the perpendicular to the point…

Q: Find parametric equations for the tangent line to the curve of intersection of the following two…

A: We have to find parametric equations for the tangent line to the curve of intersection of the given…

Q: u =1-1,y=6-2+름 x = 1-, y = 6-

A: We have given parametric equations x=1-1t, y=6-7t+2t2. First, evaluate the first derivative dydx. To…

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: Chapter 13, Section 13.7, Question 005 Find an equation for the tangent plane and parametric…

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Q: Find the corresponding Cartesian equation of the parametric equation       x=3cosθx=3cosθ.…

A: Given:           x=3 cos θ,   y=4 sin θ            0≤θ≤2π From: x= 3 cos θ            cos θ=x3 From:…

Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: Find the parametric equations of the line that is tangent to circle

A: Question (1) - Equation of circle - x2+y2 = 25Differentiating on both sides with respect to x -…

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

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Q: The parametric equations of a curve are given by 2 x = In and y = cosh-(2t). when t = 1. dx Find

A: Given,            The parametric equations of a curve are given by              x=ln2t  and…

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: 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: Under what circumstances can a graph that represents a set of parametric equations have more than…

A: On considering the parametric equations x=f(t) ----(1) y=g(t)----(2) Where, x and y is a function…

Q: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

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