Problem 1.12 The height of a certain hill (in feet) is given by h(x, y) = 10(2xy-3x2 - 4y? – 18x + 28y + 12), where y is the distance (in miles) north, x the distance east of South Hadiey. (a) Where is the top of the hill located? (b) How high is the hill? (c) How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? In what direction is the slope steepest, at that point?

Problem 1.12 The height of a certain hill (in feet) is given by h(x, y) = 10(2xy-3x2 - 4y? – 18x + 28y + 12), where y is the distance (in miles) north, x the distance east of South Hadiey. (a) Where is the top of the hill located? (b) How high is the hill? (c) How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? In what direction is the slope steepest, at that point?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 43P: Two points in a plane have polar coordinates P1(2.500m,/6) and P2(3.800m,2/3). Determine their...

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