3. Rewrite the polar equation in rectangular, rewrite it either as a conic section or in the form y = f(x): a. r b. r= 3 sin 0 3 cose C. r = cos 0+ sin 0

Q: Use polar coordinates to evaluate (x² + y° )% dy dr.

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Q: Find the polar equation of x = - y? and identify its graph.

A: Given, curve x = -y2To find the polar equation, we will replace x with rcosθ and y with rsinθ in the…

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: Consider the following parametric equations x=3+2t -t y=t+1 , -1<t<3 Sketch the graph of the…

A: Given query is to find the graph of the parametric equation.

Q: Write the parametric equations as a function of x in Cartesian form. = x = 2t - 1, y = 6 - 3t

A: Given equation are x=2t-1 and y=6-3t

Q: Graph the curve whose parametric equations are given. x= 5 sin t, y = 5 cos t; Osts 2 OA. O B Oc.…

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Q: 3. Find the polar form of the Cartesian equation: x² + y² = (3 + 2x)² %3D

A: Solution-

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: 2 - y = 2 #8) A) Change equation x 4 to polar coordinates.

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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: 4. Eliminate the parameter and write the parametric equation in rectangular form x = 3 sece, y = 5…

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Q: Find an equation relating x and y to describe the points on the xy plane that satisfy the polar…

A: Here we have to convert polar equation in to Cartesian equation. For that we use the relationship…