The region W lies below the surface f(x,y) = 5e-(z-3)*- and above the disk z? + y? < 16 in the ry-plane. (a) Think about what the contours of f look like. You may want to using f(x, y) = 1 as an example. Sketch a rough contour diagram on a separate sheet of paper. (b) Write an integral giving the area of the cross-section of W in the plane a = 3. Area = d where a = and b = (c) Use your work from (b) to write an iterated double integral giving the volume of W, using the work from (b) to inform the construction of the inside integral. Volume = S rd d d where a = ,b = c = and d =

The region W lies below the surface f(x,y) = 5e-(z-3)*- and above the disk z? + y? < 16 in the ry-plane. (a) Think about what the contours of f look like. You may want to using f(x, y) = 1 as an example. Sketch a rough contour diagram on a separate sheet of paper. (b) Write an integral giving the area of the cross-section of W in the plane a = 3. Area = d where a = and b = (c) Use your work from (b) to write an iterated double integral giving the volume of W, using the work from (b) to inform the construction of the inside integral. Volume = S rd d d where a = ,b = c = and d =

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

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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