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Let R denote a rectangular metal plate given by the region [2, 10] × [2, 6] in the y-plane, with xand y given in centimeters. Suppose that the density of the plate is given by p(x, y) = x +y grams/cm2. Use Ax = Ay = 2 and an appropriate Riemann sum to estimate the mass of this plate. Find both an upper and lower estimate of the mass by using appropriate corners of each subrectangle and then average your values to give a better estimate of the exact mass of the plate. Show work and include units with your answer.

Let R denote a rectangular metal plate given by the region [2, 10] × [2, 6] in the y-plane, with xand y given in centimeters. Suppose that the density of the plate is given by p(x, y) = x +y grams/cm2. Use Ax = Ay = 2 and an appropriate Riemann sum to estimate the mass of this plate. Find both an upper and lower estimate of the mass by using appropriate corners of each subrectangle and then average your values to give a better estimate of the exact mass of the plate. Show work and include units with your answer.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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Simple calculus question. I will rate like. Thank you.

Let R denote a rectangular metal plate given by the region [2, 10] × [2, 6] in the xy-plane, with xand y given in centimeters. Suppose that the density of the plate is given by p(x, y) = x + y grams/cm2. Use Ax = Ay=2 and an appropriate Riemann sum to estimate the mass of this plate. Find both an upper and lower estimate of the mass by using appropriate corners of each subrectangle and then average your values to give a better estimate of the exact mass of the plate. Show work and include units with your answer.
Transcribed Image Text:Let R denote a rectangular metal plate given by the region [2, 10] × [2, 6] in the xy-plane, with xand y given in centimeters. Suppose that the density of the plate is given by p(x, y) = x + y grams/cm2. Use Ax = Ay=2 and an appropriate Riemann sum to estimate the mass of this plate. Find both an upper and lower estimate of the mass by using appropriate corners of each subrectangle and then average your values to give a better estimate of the exact mass of the plate. Show work and include units with your answer.
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