(a) Use the Midpoint Rule for double integrals with four squares to estimate the surface area of the portion of the paraboloid z = 9x² +9y² that lies above the square [0, 1] x [0, 1]. (Round your answer to four decimal places.) 14 (b) Use a computer algebra system to approximate the surface area in part (a) to four decimal places. Compare with the answer to part (a). Need Help? Read It

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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(a) Use the Midpoint Rule for double integrals with four squares to estimate the surface area of the portion of the paraboloid z = 9x² +9y² that
lies above the square [0, 1] x [0, 1]. (Round your answer to four decimal places.)
14
(b) Use a computer algebra system to approximate the surface area in part (a) to four decimal places. Compare with the answer to part (a).
Need Help? Read It
Transcribed Image Text:(a) Use the Midpoint Rule for double integrals with four squares to estimate the surface area of the portion of the paraboloid z = 9x² +9y² that lies above the square [0, 1] x [0, 1]. (Round your answer to four decimal places.) 14 (b) Use a computer algebra system to approximate the surface area in part (a) to four decimal places. Compare with the answer to part (a). Need Help? Read It
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