3. The height of a hill is given by z=-5y²-32² + 16x +12y +36 + 6ry Where is the height, z is the position East of the origin, and y is the position North of the origin, with all distances in meters. Find the height of the hill at its tallest point and the slope at the point z=y=1.

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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3. The height of a hill is given by
2= -5y²-3x² + 16x +12y +36 +6zy
Where is the height, r is the position East of the origin, and y is the position North of the origin,
with all distances in meters. Find the height of the hill at its tallest point and the slope at the point
Transcribed Image Text:3. The height of a hill is given by 2= -5y²-3x² + 16x +12y +36 +6zy Where is the height, r is the position East of the origin, and y is the position North of the origin, with all distances in meters. Find the height of the hill at its tallest point and the slope at the point
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