Find a polar equation of the coni with a focus at the pole, eccentricity e = and the directrix = -3sec Ø 3+ cos Ø B 3-cos Ø 2+ cos Ø 3 r = - 2- cos Ø

Q: Find the Cartesian equation of the polar equation p² = 2[1+ r(cos 0 – sin 0)] and identify its…

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Q: A student is asked to determine the polar coordinates (r, 8) corresponding to the Cartesian…

A: Let's find.

Q: With the following polar functions for spirals. When theta increases to infinity, what happens to…

A: This is question of calculusHere angle and the radius function Is given We have to find that is…

Q: Find the points (x, y) at which the polar curve 8 cos 0, horizontal tangent line. Vertical Tangent…

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Q: Please Write down the solution clearly.

A: The complex form is , z=2cos2π4+isin2π4. To convert into polar form,  z=reiθ. In the given complex…

Q: The polar equation 9 cos 0 +2 sin0 = in Cartesian form is defined by I Y A. C. 9x +2y=1 +/-/22 - 1 9…

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Q: Given the polar function r = {a(1-e^2)} / {1+ecos(theta)} find an expression for dy/dx, simplified…

A: Given that r=a1−e21+ecosθ To find an expression for dy/dx.

Q: Convert the conic r = 1 5- 5 sin 0 to rectangular form. Hint: r=√√x² + y² and y=r sin

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Q: Show that a conic with focus at the origin, eccentricity ,and directrix y=-d  has polar equation r…

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Q: Plot the poing (5/2, 5root3/2) and give polar coordinates for the poing where 0<theta < 360

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Q: Q5\a- Replace the following polar equation by equivalent Cartesian equation and identify their…

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Q: ecified by the val COS 3

A: The slope of a polar curve r=fθ is given as follows. dydx=dydθdxdθ=fθ cosθ+f'θ sinθ-fθ sinθ+f'θ cosθ…

Q: 79.45 m B. 110 m Simplify (3+5)(-2+17) and convert it into polar form. 13.04(cos4.64+sin4.64i)…

A: Given query is to simplify and convert in to polar form.

Q: 4. Write down the name of the conic given by the polar curve r = 15/( 2 sine). Determine the…

A: Given the polar curve is r=153+2sinθ

Q: Sketch the graphs of (a) r = 1. (b) θ = π /4 in polar coordinates.

A: We need to sketch the graphs of (a) r = 1 and (b) θ = π /4 in polar coordinates.

Q: Choose the graph of the polar equation “ r=1+cos 0" .

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Q: (a) Solve the equation 2x² + 3x + 4 = 0, giving the roots in the rectangular and polar forms (b)…

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Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r =…

A: Given, center=(12,12) radius=12