The polar equation for the curve whose rectangular(cartesian)equation xy 2 is: (a)rcos@sine = 4 8 (b)r? = (c)r? = (d)r2 = (e) None sin20 sin28 sindcose e

Q: The parametric equations: x = a a cos 0,y = a sin 0;0 ses 2n, define a curve called an asteroid

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Q: What type of polar curve does the equation r^2 = 4 cos 2@ represent ?

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Q: The curve whose equation in polar coordinates is given by r -4 sin(@) is a circle with its center…

A: I am going to solve the given problem first by converting in to the cartesian form and then…

Q: Consider the conic section given by the polar equation 4 1-sin 0 r=

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Q: Find an equation in rectangular coordinates for the curve r^2 = cos 2θ.

A: We know that, the relationship between polar and rectangular co-ordinates are given as r2=x2+y2…

Q: Match the parametric equations with the graphs labeled A - F. As always, you may click on the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: find a polar equation for the curve represented by the given cartesian equation 5x^2 +y^2 = 8x (r is…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x + y = 9

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Q: a) A curve has the parametric equation given as x = 4+3 cos 0 y = 3 sin 0 – 2. i) Convert the…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Consider the curve C of equation (2x² – y + y³)² = a² + y? From the choices given, select the one…

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Q: Find the slope of the line tangent to the polar curve at the given point. 11n r= 4 sin e; - 2,-

A: Given,            r=4sinθ ; -2,11π6

Q: Sketch the curve represented by the parametric equations x = 8 cos θ,            y = 8 sin θ…

A: given: the parametric equations of the curve are: x=8cosθy=8sinθ

Q: Sketch the curve represented by the parametric equations x = 6 cos θ, y = 6 sin θ (indicate the…

A: The curve represented by the parametric equations x = 6 cos θ, y = 6 sin θ. We need to Sketch the…

Q: 1. Find a cartesian equation for the curve r² sin 20 = 8.

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Q: Identify the curve by finding a Cartesian equation for the curve. r2 cos 20 = 1

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Q: Sketch the curve represented by the parametric equations x = 3 cos θ,             y = 7 sin θ…

A: Given:  x=3cosθ                                                     ...1y=7sinθ…

Q: Find a polar equation for the curve represented by the Cartesian equation: x² = 8y. Or= 8 sin cos 0…

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Q: A particle moves along the polar curve r = -4+ 4 sin 0 in such a way that the angle between the…

A: r = -4+4sinθ  dθ/dt= 5 unit/sec  Find dr/dt when θ = π/2

Q: Sketch a graph of the polar equation r = 4 sin 3θ  and find the tangent lines at the pole.

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

Q: Find a Cartesian equation for the curve represented by polar equation . r = 14 cos 0- 12 sin 0.

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Q: Sketch a graph of the polar equation r = 3 sin 2 and find the tangent line(s) at the pole (if any).

A: We have to sketch a graph of the polar equation r=3sin2θand then we have to find the tangent line(s)…

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: 01: If x²+y-2x=0. Find the corresponding equation in polar. Sketch.

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Q: Convert the polar equation 4r cos θ + r sin θ = 8 into a rectangular equation that expresses y in…

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Q: Sketch the curve r-4 sin 30 with the given polar equation by: first sketching the graph of as a…

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Q: Consider the polar equation of a conic. Determine the eccentricity. -5 r = 1 + cos(0) e =

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Q: Convert the polar equation r sin (θ - π/4) = 2 to a rectangular equation. Then determine the graph’s…

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Q: Find the equation of the tangent line to the polar curve r = 2 – sin(θ) at θ = π/3. Draw

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Q: Find the slope of the polar curve at the indicated point. r = -9 + 3 sin θ, θ = 0

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Q: Consider the polar curve with equation r=1+2cos(θ):   (I) The slope of the tangent line to the curve…

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Q: 4. Find a polar equation for the curve represented by the Cartesian equation y = 3x. T = r cos 0, y…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 10cx

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Q: Plot the graph of r= sec 0 tan 0.e a b Find the Cartesian equation corresponding to this polar…

A: Polt the polar curve and conversation of polar coordinates

Q: 2) Sketch the graph of the curve with the polar equation: r=2- sin(20).

A: The given polar equation is r=2-sin2θ. Draw the graph of the given polar equation in detail.

Q: a) A curve has the parametric equations given as x = 4+2 cose y = -2+3sin 0. i) Convert the…

A: Given, x=4+2cos θ,  y=-2+3sin θ By solving these two equations for cos θ and sin θ, x=4+2cos θ⇒cos…

Q: 7. Convert the polar equation to rectangular coordinates and determine the graph. r = sin 0-cos 0 8.…

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Q: The graph of the curve given by the parametric equations x= sint and y=cos2t IS a

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Q: Sketch a graph of the polar equation r = 4 cos 30 and find the tangents at the pole. 6. Sketch the…

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Q: Sketch the polar curve with the given equation - -3 sin 8, OA OB. oc OD. OE

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Q: 1 Sketch the curve r=-+sin0 cos 0 ,0 < 0<2n in the polar plane.

A: Any point on the Cartesian coordinate system is represented as x, y. Any point on the polar…

Q: What is the cartesian coordinates equation of the curve r= 3+ 3secθ given its equation in polar…

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Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 2 =-4 sin 20 %3D y

A: We are given the polar equation . Let us plot the figure.

Q: Find the slope of the polar curve at the indicated point. r = 1 - sin θ, θ = 0

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Q: Find the polar equation for the Cartesian curve x² - y² = √√x² + y².

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Q: 10. Sketch the curve of the polar equation r = 2 sin 0 . Find a rectangular equation for this curve.

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Q: Find the polar equation for the curve represented by the equation y = 1+ 3x. A 1 ,0) sin 0-3 cos 0 В…

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Q: Sketch the graph and the curve represented by x = 3 cos 0 and y = 4 sin 0 ,0 < 0 < 2n by eliminating…

A: The given parametric equation,      x=3cos θ and y=4sin θ, 0≤θ≤2π

Q: (b) Find the graph of the parametric equations: I = sin 0, y = 3 – 2 cos 20

A: Plugging values of θ, to find the corresponding values of x and y: When…

Q: The parametric equations: x =ac a cos³ 0,y = a sin 0;0 <0s 2n, define a curve called an asteroid

A: Please refer the attached image for complete solution. THANKYOU.