4. At the point (0, 0) the graph of y 4.x2 has greater curvature than does y 2x2.

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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4.
At the point (0, 0) the graph of y
4.x2 has greater curvature than does y = 2x².
If f is a function of x and y, then (fa(a, b), fy(a, b), – 1) is normal to the tangent
plane of f at (a, b, f(a, b)).
5.
Transcribed Image Text:4. At the point (0, 0) the graph of y 4.x2 has greater curvature than does y = 2x². If f is a function of x and y, then (fa(a, b), fy(a, b), – 1) is normal to the tangent plane of f at (a, b, f(a, b)). 5.
(9) For each of the following, write out “TRUE" if it is true, and "FALSE" if it is false.
1.
if l1 is a line on plane p and lz in orthogonal to l1, then the direction of l2 is normal
to p.
g(a, B) and y =
h(а, в). Then
2.
df
da
Suppose f is a function of x and y, and x =
af dx
af dy
+
Using cylindrical coordinates r² – (z + 1)(z – 1) = 0 is the equation of a cone.
3.
Transcribed Image Text:(9) For each of the following, write out “TRUE" if it is true, and "FALSE" if it is false. 1. if l1 is a line on plane p and lz in orthogonal to l1, then the direction of l2 is normal to p. g(a, B) and y = h(а, в). Then 2. df da Suppose f is a function of x and y, and x = af dx af dy + Using cylindrical coordinates r² – (z + 1)(z – 1) = 0 is the equation of a cone. 3.
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