Convert the following equation to Cartesian coordinates. Describe the resulting curve. rsin 0 =7 The Cartesian equation is (Type an equation.)

Q: Write parametric equations to describe the curves traced by the following motions

A: The rectangular equation of the circle with center at 0, 0 and radius 2 is given as follows:…

Q: Consider the curve defined by the equation 2x + y = 3xy for questions (4-6). %3D 2 1 -3 -2 -1 1 2 3…

A: The given curve is: 2x3+y3=3xy

Q: Discuss and trace the curve of the following equation. 2. y = x+3 у %3D 1. у %3D x²-16

A: The general form of a polynomial function is given by a0xn+a1xn-1+···+an, where a0, a1,···,an are…

Q: find a cartesian equation for the curve r2 = 14

A: Find a cartesian equation for the curve         r2 = 14

Q: i) Find the cartesian coordinate of the point P(r, 0) = (-3, ). Plot the graph

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Q: Sketch the given curves together in the appropriate coordinate plane and label each curve with its…

A: Sketch the given curves together in the appropriate coordinate plane and label each curve with its…

Q: Trace the curve of the following equations. 1. r2 = 4cos4ꝋtan2ꝋ.

A: The given equation is r2=4cos4θtan2θ. Simplify r2=4cos4θtan2θ as follows:…

Q: Identify the curve by finding a Cartesian equation for the curve r = 4secθ

A: The given curve is,

Q: Identify the type of curve given by each equation. r = -12sin 20 O Limacon O Circle Spiral of…

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Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: we have to find the equation of the circle having the center of the circle at (0,0) and radius r of…

Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: Given:     Parametric equation       xt=-5t-2        yt=-8t-4 Slope of the line m=dydx…

Q: Name the type of basic curve that each pair of equations represents (lines, parabolas, circles,…

A: Given data:     The first given equation is: y=3sin(t). The second given equation is: x=3cos(t).…

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

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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: pleae please type by computer Describe how reversing the orientation of a curve C affects the…

A: Describe how reversing the orientation of a curve C affects the implementation

Q: Sketch the given curves together in the appropriate coordinate plane and label each curve with its…

A: Given, y=3-t   and  y=-3t

Q: Based on the view from above, write an equation describing Han's vertical position v, in feet,…

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The…

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Q: Find a Cartesian equation for the curve and identify it. 12 = 2

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Q: A satellite is in elliptical orbit around the earth with the center of the earth at one focus. The…

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Q: At what point do the curves r₁ = and r₂ = intersect? ( ) Find their angle of intersection, 0…

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Q: please show each step for this problem. Write the parametric equations of the straight line that…

A: Solution:- Step-by-step solution of the question is given below. let L1 is the line parallel to…

Q: find a Cartesian equation of the curve

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Q: y = cearcsinx +c2e¬arcsinx

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Q: Write an equation that represents the curve in the form: y = a sin(k(x − b))

A: The maximum value=5 The minimum value=-1 So the amplitude=a=max-min2=5-(-1)2=3 The vertical shift…

Q: Find the parametric equation of the line joining the pointsA(-5,-3,0) and B(7,1,4)

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Q: The speed (mph) and the stopping distance (ft) of a travelling car are given as follows. Speed 30 40…

A: Parabolic curve fitting : Let the fit curve is y=a+bx+cx2. Then the normal equations are…

Q: What’s the y coordinate of point C?

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Q: the coordinates of the new point be? 2-

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Q: Write an equation of the circle that is tangent to both axes with radius /11 and center in Quadrant…

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Q: Providing a proper explanation, trace the curves: (1) a?a = y°(2a - y), where a > 0,

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Q: Picture of question is attached.

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Q: Convert the equation to rectangular form and sketch its graph. p? = sec? Otan 0

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Q: DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. Y = 3x5 – 5x3 + 4

A: Given The equation is y=3x5-5x3+4.

Q: Y = 3x5 – 5x3 + 4

A: Given function is: f(x)=3x5-5x3+4 Given function is polynomial function whose domain and range are…

Q: Eliminate the parameter, then write the resulting equation in standard form for the given situation.…

A: Use standard form of circle.

Q: 4. Convert the equation r =8cos0– 2sin0 to Cartesian coordinates and fully describe the resulting…

A: see below the answer

Q: Task 2: Find the point on the curve y = x^2 closest to the point (0, 15)

A: answer is in next step

Q: . Eliminate the parameter to find the standard form gedaa rectangular equation representing the…

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Q: Find the x- and y-coordinates of the point C.

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Q: Reflect the figure across the y-axis. Which is most likely the new figure?

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Q: Find equations for two lines through the origin that are tangent to the ellipse x? – 4x + y? + 3 =…

A: Solve for the equation

Q: x = Vi, y = 3t + 4;

A: Given: x=t, y=3t+4; t≥0 For finding an equation in x and y, we put value oft=y-43 from second…

Q: 3x2 – 2y2 – 12x + 12y = 12

A: Given that, The given equation of a curve is 3x2-2y2-12x+12y=12. First, we have to convert it into…

Q: Which of the following is the equation of the circle shown below?

A: X value lies between (-1,13) Y value lies between (-9,5) Equation of circle: (x - h)2 + (y - k)2 =…

Q: Sketch the graph of the equation.

A: Given equation is y=-4cot2x-π2