Calculus

Polar Equations Calculus

Polar Equations - Surface Area

         

Find the area of the surface formed by revolving the curve r=5sinθr = 5 \sin\theta from θ=0\theta = 0 to θ=π2\theta = \frac{\pi}{2} about the xx-axis.

Find the surface area generated when the curve r=eθ r = e^{\theta} from θ=0\theta = 0 to θ=π2\theta = \frac{\pi}{2} is revolved about the yy-axis.

Find the area of the surface formed by revolving the curve r=5sinθr = 5 \sin\theta from θ=0\theta = 0 to θ=π2\theta = \frac{\pi}{2} about the yy-axis.

Find the area of the surface formed by revolving the curve r=3cos(θ)r = 3 \cos(\theta) from θ=0\theta = 0 to θ=π2\theta = \frac{\pi}{2} about the xx-axis.

Find the area of the surface formed by revolving the curve r=5cosθr = 5 \cos{\theta} from θ=0\theta = 0 to θ=π2\theta = \frac{\pi}{2} about the yy-axis.

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