The astroid curve below is defined by the parametric equations x(t)=2 cos' t, y(t)= 2 sin’t. Compute the area enclosed by the astroid.

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

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Q: A curve with polar equation r = 42 6 sin(0) + 31 cos(0) y = has Cartesian equation:

A: cartesian equation is y=7−631x​Explanation:Step 1:given that r=6sinθ+31cosθ42​using cross…

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: Graph these parametric equations on the TI and include screenshots x = 2t – 2 sin t, y = 2 – 2 cos t…

A: In the Cartesian coordinate system, the parametric equations use a third variable(usually "t") to…

Q: calculate the area of polar equation r = 5-sin(theta)

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Q: Sketch r = 4 + 8 cos θ on the image below and find the area outside the inner loop of the curve…

A: Given: The polar function, r=4+8cosθ   To sketch: The given function curve on a polar plane. To…

Q: Find where the polar function f (theta) = 6 cos(theta) has a vertical tangents over [0,2pi]

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Q: Using the polar function r = 1 + cos(θ), find the slope of the tangent line at the point (3/2, pi/3)

A: Given: The polar function is, r=1+cosθ

Q: Sketch with direction of the following functions r = f(θ) in polar coordinate. please sketch with…

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Q: O Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (+ 0) in…

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Q: Consider the polar curve r = sin(3θ). Sketch this polar curve on the interval 2π/3 ≤ θ ≤ π.

A: Given Equation:- r = sin(3θ)

Q: Find the slope of the tangent line to the polar rer = 1/0 at 0 = T.

A: The given polar curve is r=1θ at θ=π. Find the slope of the tangent line.

Q: Eliminate the parameter for the given parametric equations to write an equation in the form of y=…

A: Given x=ln t and y=et

Q: Sketch in Polar X =-Jy %D

A: This can be done by the equations for cartesian to polar conversion which is derived in step 2.

Q: determine the slope of the tangent line to the polar curve r = 3 + 8 sin 0 at 0 =

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Q: Please sketch the plot of the polar curve sin(0) and then calculate the shaded area for 0 < 0 < 7/4

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