Find the parametric form of (i) the circle x?+y? =p²

Q: A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4,3), which of the…

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Q: Find parametric equations for the line through (-2,0,4) parallel to V=2i +4j -2k .

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Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t2, y = 9 + 4t3,…

A: Given curve :

Q: In the given image, ⊙P is centered at (10, −6) with the x-axis tangent to the circle at point T.…

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Q: Find parametric equations for each of the following. The circle of radius 2, centered at (0, 3, 0)…

A: We should understand that y is going to be constant  and is going to be 3   Now since r = 2 [given]…

Q: Find the exact length of the curve described by the parametric equations. x = 5 + 6t², y = 3 + 4t³,…

A: Find the length of the curve   x= 5+t2 ,y= 3+4t2 , 0<=t<=1 .

Q: find parametric equations for the given curve. y = 8x2 − 3x

A: Given- y=8x2-3x To find- Parametric equations for the given above curve.

Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form…

A: we have to determine the point slope form

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

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Q: Find the equation of the circle in standard form satisfying the given conditions: C(7,4) externally…

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Q: Find the length of the following parametric curve. x = 6 + 916, y = 5 + 6t°, 0<t < 2.

A: solution is given below

Q: Use the parametric equations of an ellipse, x=4cos(theta), y=3sin(theta), 0 less than or equal to…

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Q: Sketch and identify the surface given by the equation Z=: x² +

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Q: state whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A: Rearrange the equation, 3x2-7y2=z by dividing both sides by 21 and obtain x27-y23=z21. The general…

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

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Q: write the equation of the circle satisfying the given conditions. Express your answers in the form…

A: If (h,k) = center, r is the radius then the equation of the circle is given by:- (x-h)2+(y-k)2=r2…

Q: write the equation of the circle satisfying the given conditions. Express your answers in the form…

A: Given, conditions are Center 0,5 and passes through the origin Standard form of equation of circle…

Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: Find the exact length of the curve described by the parametric equations. x = 5 + 3t2, y = 3 + 2t,…

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Q: Cannot solve

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Q: Consider two non-parallel lines , l1 & l2, in R³ with parametric equations l1: P+ tu l2: Q + tv.…

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Q: Find parametric equations for the line through (-2, 0, 4) parallel to v = 2i + 4j - 2k

A: we know that parametric equation of line which passes through point x0,y0,z0 and parallel to vector…

Q: The graph of the curve described by the parametric equations x = 4t −1, y = 3t + 2 is a straight…

A: For a line passing through the point (a,b) and parallel to the vector (c,d) its parametric equation…

Q: Find the equation of the circle with center -2+i and radius 4 units. O (A) (x – 2)* + (y – 1)° = 4.…

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Q: Describe the projections of the circle r(t) =〈sin t, 0, 4 + cost〉onto the coordinate planes.

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Q: A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4, 3), which of the…

A: We will find the equation of circle as following.

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: Find equation of the circle (in general form) that satisfies the given condition: Equation of the…

A: Circle

Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t², y = 9+ 4t³,…

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Q: What is the standard circle equation from the general circle equation: x2 +y? +8x=144+12y O K+42…

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Q: Graph the curve defined by the parametric equations

A: Here given parametric equation as x=3t2,  y=2t, -2≤t≤2 Then t=y2

Q: Find the Cartesian equation for the circle defined by the parametric equations x=1+2cost and…

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Q: Find parametric equations, in terms of t, of the line passing through (2, 2, 12) and parallel to the…

A: Given: The line is passing through 2,2,12. Also, it is parallel to the line: x=5-9ty=2z=4+t The…

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: The equation of the circle tangent to both axes with the center in the fourth quadrant and radius 2…

A: Equation of the circle is given by: (x-h )2 +( y-k )2 = r2 Where, (h,k) is the center and r is the…

Q: Please help me with this problem

A: Parametric equation:

Q: b) Find the area of the triangle with vertices P, Q, R. c)Write down parametric equations for the…

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Q: Sketch the curve represented by the parametric equations x = 2t/2, y = t4+ 1 (indicate the…

A: Given parametric equation, x=2t2 and y=t4+1we have to write the corresponding rectangular equation…

Q: Sketch the curve represented by the parametric equations x = t3, y = t2/2 (indicate the orientation…

A: Given a parametric equation,   x=t3                ...(1)  y=t22              ...(2)

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: the

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

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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: find parametric equations for the given curve. 4x − y2 = 5

A: Given curve is:

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: Eliminate the parameter and obtain the standard form of the rectangular equation. Circle:  x = h +…

A: x=h+r cosθ , y=k + sinθ

Q: find a cartesian equation for the curve r=3cos(θ)

A: Cartesian equation for the curve is r=3 cos(θ)   Now x=r cos(θ)  …….. equation(1) cosθ=xrr=3xcosθ…