. A donut with major radius R and minor radius r can be represented parametrically by r(u, v) = ((R+r cos u) cos v, (R+r cos u) sin v, r sin u) for 0 ≤ u ≤ 27 and 0 ≤ v ≤ 2ñ. What is the surface area of the donut?

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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3. A donut with major radius R and minor radius r can be represented parametrically by
r(u, v) = ((R+r cos u) cos v, (R+r cos u) sin v, r sin u)
for 0 ≤ u ≤ 27 and 0 ≤ v ≤ 2π. What is the surface area of the donut?
Transcribed Image Text:3. A donut with major radius R and minor radius r can be represented parametrically by r(u, v) = ((R+r cos u) cos v, (R+r cos u) sin v, r sin u) for 0 ≤ u ≤ 27 and 0 ≤ v ≤ 2π. What is the surface area of the donut?
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