Find the 'slope' of the tangent line to the curve of intersection of this surface 3z = 36-9x –4y? (ellipsoid) top half (1l to yo plane) and the plane x = 1 at the point (1,-2, %) . The 'slope' here refers to the change in z over the change in y.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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Find the 'slope' of the tangent line to the curve of intersection
² (ellipsoid) top halt
of this surface 3z= 36-9x –4y
and the plane x = 1 (1| to yaplane)
at the point (1,–2, %).
The 'slope' here refers to the change in z over the change in y.
Transcribed Image Text:Find the 'slope' of the tangent line to the curve of intersection ² (ellipsoid) top halt of this surface 3z= 36-9x –4y and the plane x = 1 (1| to yaplane) at the point (1,–2, %). The 'slope' here refers to the change in z over the change in y.
The temperature in degrees celsius on a metal plate in the
xy-plane is given by T(x,y) = 4 + 2x² + y³. What is the rate of
change of temperature with respect to distance (in feet) if we
start moving from (3,2) in the direction of the y-axis?
Transcribed Image Text:The temperature in degrees celsius on a metal plate in the xy-plane is given by T(x,y) = 4 + 2x² + y³. What is the rate of change of temperature with respect to distance (in feet) if we start moving from (3,2) in the direction of the y-axis?
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