Use a computer algebra system to graph the curve formed by the intersection of the surface and the plane. Surface Plane Point z = √125x² - y² x = 5 (5, 6, 8) Z-5 O -10 -10 100t ZO -100 -10 -5 -5 8 X 0 0 5 5 Find the slope of the curve at the given point. 10 10 -10 -10 109 -5 -5 3 y y 10 10 10t Z 5 -10 100 Z O -100 -10 -5 -5 X 0 X 0 5 5 10 10 -10 -5 70 y -5 -10 S S y 10 10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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Use a computer algebra system to graph the curve formed by the intersection of the surface and the plane.
Surface
Plane
Point
z = √125x² - y²
x = 5
(5, 6, 8)
Z-5
100
-10
z o
-100
-10
5
8
8
0
0
5
Find the slope of the curve at the given point.
10
10
-10
yoy
-10
-5
-5
1
10
10t
-10
100
Z O
-100
-10
-5
-5
8
8
0
5
10
10
-10
-5
-10
o y
TTTTTTTTT
10
Transcribed Image Text:Use a computer algebra system to graph the curve formed by the intersection of the surface and the plane. Surface Plane Point z = √125x² - y² x = 5 (5, 6, 8) Z-5 100 -10 z o -100 -10 5 8 8 0 0 5 Find the slope of the curve at the given point. 10 10 -10 yoy -10 -5 -5 1 10 10t -10 100 Z O -100 -10 -5 -5 8 8 0 5 10 10 -10 -5 -10 o y TTTTTTTTT 10
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