Question 4. Consider the polar curves C₁ r = 2 sin and C₂ : r = 2 cos 0, where 0 ≤0 ≤ 2π. (a) Find the Cartesian equations of C₁ and C2 and make a neat sketch of these curves. (b) Using polar equations of C₁ and C₂ to find their intersection points (Do not use their Cartesian equations!).

Q: 4) 4+ 3+ -5 -4 -3 -2 3 4 5 r -2+ -3+ -4+ 2.

A:

Q: 11) Find the rectangular form of the polar equation: r = sin 0 + cos 0

A: Given: r = sin θ + cos θ To find: The rectangular form of the given polar equation.

Q: For each point (x,y), give two sets of polar coordinates, where 0<=theta<=2pi problem : (3√3,-3)

A: Polar coordinates.

Q: 45. The rectangular equation x² + y² - 2x=0 written in polar form is r = 2 cos.

A: The rectangular equation is x2+y2-2x=0

Q: the following Cartesian coordinates to polar coordinates. Any valid (r, θ) pair is allowed. Please…

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Q: Find the Cartesian equation for the curve represented by the polar equation, r = 2 sin 0. O x² + y²…

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Q: 1- Convert the polar equation to a Cartesian equation: a. r=4 sin 0 b. 0 = T/4 c.r = 5 d. r sin (20)…

A: While dealing with polar and cartesian equations, we should know these basic things x=r cosθy=r sinθ…

Q: 3. Rewrite the polar equation in rectangular, rewrite it either as a conic section or in the form y…

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Q: Find all the intersection points of polar equations r= √2 + sin(theta) and r= 3sin(theta)

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Q: The Cartesian equation, x = 3, is equivalent to the polar equation, Or² = 3 cos 0 3 COS O r = r = 1…

A: We are given a Cartesian equation  x=3 and we have to which among the following is it's equivalent…

Q: A $ 100 deposit is made into a college fund at the beginning of each month for 10 years. The fund…

A: Consider the given information. The deposit amount is $100. The rate is 9% and the time is 10 years.…

Q: Do a complete analysis to determine the points of intersection of the polar curves r = 4 sin 0 and…

A: We need to find the points of intersection. So,              4sinθ=1+2sinθ⇒sinθ=12⇒θ=π6+2πn,…

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

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Q: Given polar curve r = −6 sin(θ) do the following. (a) Find the Cartesian equation for this curve.…

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Q: A: Convert the following polar equations to equivalent Cartesian equations: 1) r= 1-sin(0) 2) r tan…

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Q: Replace the polar equation given with its equivalent Cartesian form and describe the graph. a) r…

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