No matter where you are on a plane, the slope in a given direction should be the same. Answer each of the following given that you are somewhere on the plane z = 7x - 3y + 10. (a) Find the direction in which the slope is greatest. (b) Find a direction in which the slope is zero. (c) Find the slope in the direction 20° west of north (i.e., 20° counterclockwise from the positive y-axis). Give an approximate answer accurate to the nearest tenth.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1.
No matter where you are on a plane, the slope in a given direction should be
the same. Answer each of the following given that you are somewhere on the plane
z = 7x - 3y + 10.
(a) Find the direction in which the slope is greatest.
(b) Find a direction in which the slope is zero.
(c) Find the slope in the direction 20° west of north (i.e., 20° counterclockwise
from the positive y-axis). Give an approximate answer accurate to the nearest
tenth.
Transcribed Image Text:1. No matter where you are on a plane, the slope in a given direction should be the same. Answer each of the following given that you are somewhere on the plane z = 7x - 3y + 10. (a) Find the direction in which the slope is greatest. (b) Find a direction in which the slope is zero. (c) Find the slope in the direction 20° west of north (i.e., 20° counterclockwise from the positive y-axis). Give an approximate answer accurate to the nearest tenth.
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