3. Consider the curve C of equation 4ry r² + y²" Among the options indicated, select the one that correctly shows the equation of C in polar coordinates and the equation of a line tangent to the pole. A) C: r = 2 sin (20), with tangent to pole 0 =" B)C:r = 2 sin (20), with tangent to pole 0 =" C) C: r = 2 sin (0), with tangent to the pole 0 = TT D) C: r = 2 cos (0), with tangent to pole 0 =

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Q: (1 point) Suppose that C is the curve defined by the polar equation r = 2 +4 cos 0 (called a…

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A: First we square both given equation and then adding both and solve it.

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

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A: Given: x=4 costy=2 sin2tt=π3

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Q: Find the points of horizontal and vertical tangency to the polar curve               r = 1 − sin

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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: You are given the polar curver = cos(0) + sin(0). (a) List all of the points (r, 0) where the…

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Q: Sketch the curve with polar equation r = 2 cos0

A: We first make a table of values θ 0 π/4 π/2 3π/4 π r 2 1.41 0 -1.41 -2

Q: Suppose a curve is traced by the parametric equations x= 6.08 sin(t) and y = 22 -…

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Q: Find a Cartesian equation from the polar curve 4r sin 0 = 18(rcos 0) +14 1S is

A: Given polar equation is 4rsinθ=18rcosθ2+14  .....1

Q: (1) In row 2, use parametric equations to plot a unit circle. 3 (2) In row 2, adjust the parameter…

A: Asked questions are solved.

Q: Find the length of the curve over the given interval. Polar Equation Interval 0,

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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: 4 Find the slope of the tangent line to polar curve r = 7 – 4 sin 0 at the point ( 7 - - 2' 6 Submit…

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Q: what points does the curve described by the parametric equations x = 2a cos t – a cos 2t d y = 2a…

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

A: The equation of the tangent line is

Q: Eliminate the parameter in the parametric equations x = 7+ sint, y = 2+ sint, for 0sts, and describe…

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Q: Consider the curves:r = 4sin 0 and r = 2 sin(0) + 2cos (0).

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Q: 4. Sketch the parametric equations by eliminating the parameter. Be sure to include arrows to…

A: From given equations, we find sin theta and cos theta Then we plug them in the Pythagorean identity…

Q: Find the slope of the tangent line to the graphof the polar equation 1 r = at Ø= 1-sinø 6

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Q: Find the length of the curve over the given interval.                                     Polar…

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Q: 6. Find the slope of the tangent line to the polar curve r = 2 cos 0 when 0 %3D You may use sin ,…

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Q: Consider the curve with polar equation r= 6 sin where 0 <0<. Without finding the Cartesian equation,…

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Q: slime mold grows in a spiral pattern with polar radius . If the mold grows by continuing the spiral…

A: We have to find the Cartesian location of the endpoint at given angular velocity.

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: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: make a table values t x=t+sint y=cost -π x=-π +sin-π=-π +0=-π =-3.14 y=cos-π=-1 -π2…

Q: The parametric equations for the motion of a charged particle released from rest in electric and…

A: Solve by finding slope

Q: Can the parametric curve (t, sin t) be represented as a graph y = f (x)? What about (sin t, t)?

A: Parametric curve is (t, sint) i.e x = t and y = sint

Q: I have no idea how to solve this question? Please refer to the image for details.

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Q: Sketch the polar curves r= 9 sin 0 and r 4-9 sin 0. Indicate the co- ordinates of all r and y…

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

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Q: Find the slope of the tangent line to a polar curve r = f(0) at the given point. (Hint: Let x =r…

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Q: Find the length of the latus rectum of the curve r = 2/(1 - cos( theta )) in polar coordinates.

A: Given r=21-cosθ

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

Q: The parametric equations for the motion of a charged particle released from rest in electric and…

A: Please check step 2 for the solution.!

Q: 8/3 Find the slope of the tangent line to polar curve r = 8 sin 0 at the point 3.

A: Explanation of the answer is as follows

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Q: TRUE OR FALSE. The curve defined by the polar equation r = 2 + 3 sin θ is symmetric with respect to…

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