2. Use Lagrange Multipliers to find the points on the surface z² = 16+xy that are closest to the origin. a. (±4, 0, 0) b. (0, 0, ±16) c. (0, 0, ±4) d. (1, 1, ±2) e. (2, 2, ±1) Evaluate the double integral by first identifying it as the volume of a solid. (15-2x) dd, R = {(x, y)|4≤x≤ 8, 4 ≤y ≤7} R a. -64 b. 36 c. -164 d. 236 e. 136 Use polar coordinates to find the volume of the solid bounded by the paraboloid z = 7-6x²-6y² and the plane z = 1. . 4.5 T обл . . З п 13 л 2π

2. Use Lagrange Multipliers to find the points on the surface z² = 16+xy that are closest to the origin. a. (±4, 0, 0) b. (0, 0, ±16) c. (0, 0, ±4) d. (1, 1, ±2) e. (2, 2, ±1) Evaluate the double integral by first identifying it as the volume of a solid. (15-2x) dd, R = {(x, y)|4≤x≤ 8, 4 ≤y ≤7} R a. -64 b. 36 c. -164 d. 236 e. 136 Use polar coordinates to find the volume of the solid bounded by the paraboloid z = 7-6x²-6y² and the plane z = 1. . 4.5 T обл . . З п 13 л 2π

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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