Let C be the curve of intersection of the surface f(x,y) = y² e x2 - 1 and the plane y = 3. Find the slope of the line tangent to curve C at the point on the surface where (x , y) = (1 , 3). Enter an integer or a fully reduced fraction such as -2 , 0, 15 , 3/4 , -7/9 , etc.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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Let C be the curve of intersection of the surface f(x,y) = y² ex² - 1 and
the plane y = 3. Find the slope of the line tangent to curve C at the point on
the surface where (x , y) = (1 , 3).
%3D
Enter an integer or a fully reduced fraction such as -2 , 0 , 15 , 3/4 , -7/9 , etc.
Transcribed Image Text:Let C be the curve of intersection of the surface f(x,y) = y² ex² - 1 and the plane y = 3. Find the slope of the line tangent to curve C at the point on the surface where (x , y) = (1 , 3). %3D Enter an integer or a fully reduced fraction such as -2 , 0 , 15 , 3/4 , -7/9 , etc.
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