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7. Use total differential to estimate the change (a) in calculating the value of f(x,y, z) = 3x² yz' when (x, y, z) change from A(-1, 2, 1) to B(-0.998, 2.003, 0.999). (b) in the volume, V, of a pyramid with square base when its height, h, is increased from 2 to 2.2 m and its base dimension, x, is decreased from 1 to 0.9 m. The volume of pyramid is given by V = }x’h.

7. Use total differential to estimate the change (a) in calculating the value of f(x,y, z) = 3x² yz' when (x, y, z) change from A(-1, 2, 1) to B(-0.998, 2.003, 0.999). (b) in the volume, V, of a pyramid with square base when its height, h, is increased from 2 to 2.2 m and its base dimension, x, is decreased from 1 to 0.9 m. The volume of pyramid is given by V = }x’h.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. Use total differential to estimate the change (a) in calculating the value of f(x,y, z) = 3x² yz' when (x, y, z) change from A(-1, 2, 1) to B(-0.998, 2.003, 0.999). (b) in the volume, V, of a pyramid with square base when its height, h, is increased from 2 to 2.2 m and its base dimension, x, is decreased from 1 to 0.9 m. The volume of pyramid is given by V = }x’h.
Transcribed Image Text:7. Use total differential to estimate the change (a) in calculating the value of f(x,y, z) = 3x² yz' when (x, y, z) change from A(-1, 2, 1) to B(-0.998, 2.003, 0.999). (b) in the volume, V, of a pyramid with square base when its height, h, is increased from 2 to 2.2 m and its base dimension, x, is decreased from 1 to 0.9 m. The volume of pyramid is given by V = }x’h.
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