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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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Problem #5: Find the points on the graph of f(x, y) = (x+6) (y-4)9 at which the tangent plane is horizontal.
1
Problem #5: Find the points on the graph of f(x, y) = (v + 4).x6 at which the tangent plane is horizontal.
2
(A) The point (4, -6,0) only (B) All points on the line r(t) = (1,4,0) (C) All points on the line r(t) = (4,t,0)
(D) All points on the line r(t) = (t,-6,0) (E) All points on the line r(t) = (0,1,0) (F) The point (-6,4,0) only
(G) All points on the line r(t) = (t,0,0) (H) All points on the line r(t) = (-6,t,0)
3
(A) All points on the line r(t) = (t. 4,0) (B) The point (0, 4, 0) only (C) All points on the line r(t) = (1,0,0)
(D) All points on the line r(t) = (0, 1, 0) (E) All points on the line r(t) = (1,3,0)
(F) All points on the line r(t) = (-4,1, 0)
(G) All points on the line r(t) = (3, 1, 0) (H) The point (-4, 0, 0) only
Problem #5: Find the points on the graph of f(x, y) - (x+8)y5 at which the tangent plane is horizontal.
(A) All points on the line (1) - (1,6, 0) (B) All points on the line (1)-(-8, 1, 0) (C) The point (0, -8, 0) only
(D) All points on the line (1) - (1,-8,0) (E) All points on the line r(t) = (1,0,0)
(F) All points on the line (1)
(6, 1, 0) (G) The point (-8, 0, 0) only (H) All points on the line r(t) = (0,1,0)
Transcribed Image Text:Problem #5: Find the points on the graph of f(x, y) = (x+6) (y-4)9 at which the tangent plane is horizontal. 1 Problem #5: Find the points on the graph of f(x, y) = (v + 4).x6 at which the tangent plane is horizontal. 2 (A) The point (4, -6,0) only (B) All points on the line r(t) = (1,4,0) (C) All points on the line r(t) = (4,t,0) (D) All points on the line r(t) = (t,-6,0) (E) All points on the line r(t) = (0,1,0) (F) The point (-6,4,0) only (G) All points on the line r(t) = (t,0,0) (H) All points on the line r(t) = (-6,t,0) 3 (A) All points on the line r(t) = (t. 4,0) (B) The point (0, 4, 0) only (C) All points on the line r(t) = (1,0,0) (D) All points on the line r(t) = (0, 1, 0) (E) All points on the line r(t) = (1,3,0) (F) All points on the line r(t) = (-4,1, 0) (G) All points on the line r(t) = (3, 1, 0) (H) The point (-4, 0, 0) only Problem #5: Find the points on the graph of f(x, y) - (x+8)y5 at which the tangent plane is horizontal. (A) All points on the line (1) - (1,6, 0) (B) All points on the line (1)-(-8, 1, 0) (C) The point (0, -8, 0) only (D) All points on the line (1) - (1,-8,0) (E) All points on the line r(t) = (1,0,0) (F) All points on the line (1) (6, 1, 0) (G) The point (-8, 0, 0) only (H) All points on the line r(t) = (0,1,0)
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