Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
expand_more
expand_more
format_list_bulleted
Question
Chapter 11.4, Problem 7PS
To determine
To find the standard form of equation of the tangent plane to the surface
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
3. Find the equation of the tangent line to the parabola 4x² +9y² =
18z, x = 3 at the point (3, 2, 4).
11. Find the slope of the tangent line to the curve described by the parametric equations below when
t = 2. Show all your work
1
x = v2t, y = t-
t
why
Find an equation of the tangent plane to the given surface at the specified point.
= e-, (1, -1, 1)
Chapter 11 Solutions
Calculus
Ch. 11.1 - Prob. 1PSCh. 11.1 - Prob. 2PSCh. 11.1 - Prob. 3PSCh. 11.1 - Prob. 4PSCh. 11.1 - Prob. 5PSCh. 11.1 - Prob. 6PSCh. 11.1 - Prob. 7PSCh. 11.1 - Prob. 8PSCh. 11.1 - Prob. 9PSCh. 11.1 - Prob. 10PS
Ch. 11.1 - Prob. 11PSCh. 11.1 - Prob. 12PSCh. 11.1 - Prob. 13PSCh. 11.1 - Prob. 14PSCh. 11.1 - Prob. 15PSCh. 11.1 - Prob. 16PSCh. 11.1 - Prob. 17PSCh. 11.1 - Prob. 18PSCh. 11.1 - Prob. 19PSCh. 11.1 - Prob. 20PSCh. 11.1 - Prob. 21PSCh. 11.1 - Prob. 22PSCh. 11.1 - Prob. 23PSCh. 11.1 - Prob. 24PSCh. 11.1 - Prob. 25PSCh. 11.1 - Prob. 26PSCh. 11.1 - Prob. 27PSCh. 11.1 - Prob. 28PSCh. 11.1 - Prob. 29PSCh. 11.1 - Prob. 30PSCh. 11.1 - Prob. 31PSCh. 11.1 - Prob. 32PSCh. 11.1 - Prob. 33PSCh. 11.1 - Prob. 34PSCh. 11.1 - Prob. 35PSCh. 11.1 - Prob. 36PSCh. 11.1 - Prob. 37PSCh. 11.1 - Prob. 38PSCh. 11.1 - Prob. 39PSCh. 11.1 - Prob. 40PSCh. 11.1 - Prob. 41PSCh. 11.1 - Prob. 42PSCh. 11.1 - Prob. 43PSCh. 11.1 - Prob. 44PSCh. 11.1 - Prob. 45PSCh. 11.1 - Prob. 46PSCh. 11.1 - Prob. 47PSCh. 11.1 - Prob. 48PSCh. 11.1 - Prob. 49PSCh. 11.1 - Prob. 50PSCh. 11.1 - Prob. 51PSCh. 11.1 - Prob. 52PSCh. 11.1 - Prob. 53PSCh. 11.1 - Prob. 54PSCh. 11.1 - Prob. 55PSCh. 11.1 - Prob. 56PSCh. 11.1 - Prob. 57PSCh. 11.1 - Prob. 58PSCh. 11.1 - Prob. 59PSCh. 11.1 - Prob. 60PSCh. 11.2 - Prob. 1PSCh. 11.2 - Prob. 2PSCh. 11.2 - Prob. 3PSCh. 11.2 - Prob. 4PSCh. 11.2 - Prob. 5PSCh. 11.2 - Prob. 6PSCh. 11.2 - Prob. 7PSCh. 11.2 - Prob. 8PSCh. 11.2 - Prob. 9PSCh. 11.2 - Prob. 10PSCh. 11.2 - Prob. 11PSCh. 11.2 - Prob. 12PSCh. 11.2 - Prob. 13PSCh. 11.2 - Prob. 14PSCh. 11.2 - Prob. 15PSCh. 11.2 - Prob. 16PSCh. 11.2 - Prob. 17PSCh. 11.2 - Prob. 18PSCh. 11.2 - Prob. 19PSCh. 11.2 - Prob. 20PSCh. 11.2 - Prob. 21PSCh. 11.2 - Prob. 22PSCh. 11.2 - Prob. 23PSCh. 11.2 - Prob. 24PSCh. 11.2 - Prob. 25PSCh. 11.2 - Prob. 26PSCh. 11.2 - Prob. 27PSCh. 11.2 - Prob. 28PSCh. 11.2 - Prob. 29PSCh. 11.2 - Prob. 30PSCh. 11.2 - Prob. 31PSCh. 11.2 - Prob. 32PSCh. 11.2 - Prob. 33PSCh. 11.2 - Prob. 34PSCh. 11.2 - Prob. 35PSCh. 11.2 - Prob. 36PSCh. 11.2 - Prob. 37PSCh. 11.2 - Prob. 38PSCh. 11.2 - Prob. 39PSCh. 11.2 - Prob. 40PSCh. 11.2 - Prob. 41PSCh. 11.2 - Prob. 42PSCh. 11.2 - Prob. 43PSCh. 11.2 - Prob. 44PSCh. 11.2 - Prob. 45PSCh. 11.2 - Prob. 46PSCh. 11.2 - Prob. 47PSCh. 11.2 - Prob. 48PSCh. 11.2 - Prob. 49PSCh. 11.2 - Prob. 50PSCh. 11.2 - Prob. 51PSCh. 11.2 - Prob. 52PSCh. 11.2 - Prob. 53PSCh. 11.2 - Prob. 54PSCh. 11.2 - Prob. 55PSCh. 11.2 - Prob. 56PSCh. 11.2 - Prob. 57PSCh. 11.2 - Prob. 58PSCh. 11.2 - Prob. 59PSCh. 11.2 - Prob. 60PSCh. 11.3 - Prob. 1PSCh. 11.3 - Prob. 2PSCh. 11.3 - Prob. 3PSCh. 11.3 - Prob. 4PSCh. 11.3 - Prob. 5PSCh. 11.3 - Prob. 6PSCh. 11.3 - Prob. 7PSCh. 11.3 - Prob. 8PSCh. 11.3 - Prob. 9PSCh. 11.3 - Prob. 10PSCh. 11.3 - Prob. 11PSCh. 11.3 - Prob. 12PSCh. 11.3 - Prob. 13PSCh. 11.3 - Prob. 14PSCh. 11.3 - Prob. 15PSCh. 11.3 - Prob. 16PSCh. 11.3 - Prob. 17PSCh. 11.3 - Prob. 18PSCh. 11.3 - Prob. 19PSCh. 11.3 - Prob. 20PSCh. 11.3 - Prob. 21PSCh. 11.3 - Prob. 22PSCh. 11.3 - Prob. 23PSCh. 11.3 - Prob. 24PSCh. 11.3 - Prob. 25PSCh. 11.3 - Prob. 26PSCh. 11.3 - Prob. 27PSCh. 11.3 - Prob. 28PSCh. 11.3 - Prob. 29PSCh. 11.3 - Prob. 30PSCh. 11.3 - Prob. 31PSCh. 11.3 - Prob. 32PSCh. 11.3 - Prob. 33PSCh. 11.3 - Prob. 34PSCh. 11.3 - Prob. 35PSCh. 11.3 - Prob. 36PSCh. 11.3 - Prob. 37PSCh. 11.3 - Prob. 38PSCh. 11.3 - Prob. 39PSCh. 11.3 - Prob. 40PSCh. 11.3 - Prob. 41PSCh. 11.3 - Prob. 42PSCh. 11.3 - Prob. 43PSCh. 11.3 - Prob. 44PSCh. 11.3 - Prob. 45PSCh. 11.3 - Prob. 46PSCh. 11.3 - Prob. 47PSCh. 11.3 - Prob. 48PSCh. 11.3 - Prob. 49PSCh. 11.3 - Prob. 50PSCh. 11.3 - Prob. 51PSCh. 11.3 - Prob. 52PSCh. 11.3 - Prob. 53PSCh. 11.3 - Prob. 54PSCh. 11.3 - Prob. 55PSCh. 11.3 - Prob. 56PSCh. 11.3 - Prob. 57PSCh. 11.3 - Prob. 58PSCh. 11.3 - Prob. 59PSCh. 11.3 - Prob. 60PSCh. 11.4 - Prob. 1PSCh. 11.4 - Prob. 2PSCh. 11.4 - Prob. 3PSCh. 11.4 - Prob. 4PSCh. 11.4 - Prob. 5PSCh. 11.4 - Prob. 6PSCh. 11.4 - Prob. 7PSCh. 11.4 - Prob. 8PSCh. 11.4 - Prob. 9PSCh. 11.4 - Prob. 10PSCh. 11.4 - Prob. 11PSCh. 11.4 - Prob. 12PSCh. 11.4 - Prob. 13PSCh. 11.4 - Prob. 14PSCh. 11.4 - Prob. 15PSCh. 11.4 - Prob. 16PSCh. 11.4 - Prob. 17PSCh. 11.4 - Prob. 18PSCh. 11.4 - Prob. 19PSCh. 11.4 - Prob. 20PSCh. 11.4 - Prob. 21PSCh. 11.4 - Prob. 22PSCh. 11.4 - Prob. 23PSCh. 11.4 - Prob. 24PSCh. 11.4 - Prob. 25PSCh. 11.4 - Prob. 26PSCh. 11.4 - Prob. 27PSCh. 11.4 - Prob. 28PSCh. 11.4 - Prob. 29PSCh. 11.4 - Prob. 30PSCh. 11.4 - Prob. 31PSCh. 11.4 - Prob. 32PSCh. 11.4 - Prob. 33PSCh. 11.4 - Prob. 34PSCh. 11.4 - Prob. 35PSCh. 11.4 - Prob. 36PSCh. 11.4 - Prob. 37PSCh. 11.4 - Prob. 38PSCh. 11.4 - Prob. 39PSCh. 11.4 - Prob. 40PSCh. 11.4 - Prob. 41PSCh. 11.4 - Prob. 42PSCh. 11.4 - Prob. 43PSCh. 11.4 - Prob. 44PSCh. 11.4 - Prob. 45PSCh. 11.4 - Prob. 46PSCh. 11.4 - Prob. 47PSCh. 11.4 - Prob. 48PSCh. 11.4 - Prob. 49PSCh. 11.4 - Prob. 50PSCh. 11.4 - Prob. 51PSCh. 11.4 - Prob. 52PSCh. 11.4 - Prob. 53PSCh. 11.4 - Prob. 54PSCh. 11.4 - Prob. 55PSCh. 11.4 - Prob. 56PSCh. 11.4 - Prob. 57PSCh. 11.4 - Prob. 58PSCh. 11.4 - Prob. 59PSCh. 11.4 - Prob. 60PSCh. 11.5 - Prob. 1PSCh. 11.5 - Prob. 2PSCh. 11.5 - Prob. 3PSCh. 11.5 - Prob. 4PSCh. 11.5 - Prob. 5PSCh. 11.5 - Prob. 6PSCh. 11.5 - Prob. 7PSCh. 11.5 - Prob. 8PSCh. 11.5 - Prob. 9PSCh. 11.5 - Prob. 10PSCh. 11.5 - Prob. 11PSCh. 11.5 - Prob. 12PSCh. 11.5 - Prob. 13PSCh. 11.5 - Prob. 14PSCh. 11.5 - Prob. 15PSCh. 11.5 - Prob. 16PSCh. 11.5 - Prob. 17PSCh. 11.5 - Prob. 18PSCh. 11.5 - Prob. 19PSCh. 11.5 - Prob. 20PSCh. 11.5 - Prob. 21PSCh. 11.5 - Prob. 22PSCh. 11.5 - Prob. 23PSCh. 11.5 - Prob. 24PSCh. 11.5 - Prob. 25PSCh. 11.5 - Prob. 26PSCh. 11.5 - Prob. 27PSCh. 11.5 - Prob. 28PSCh. 11.5 - Prob. 29PSCh. 11.5 - Prob. 30PSCh. 11.5 - Prob. 31PSCh. 11.5 - Prob. 32PSCh. 11.5 - Prob. 33PSCh. 11.5 - Prob. 34PSCh. 11.5 - Prob. 35PSCh. 11.5 - Prob. 36PSCh. 11.5 - Prob. 37PSCh. 11.5 - Prob. 38PSCh. 11.5 - Prob. 39PSCh. 11.5 - Prob. 40PSCh. 11.5 - Prob. 41PSCh. 11.5 - Prob. 42PSCh. 11.5 - Prob. 43PSCh. 11.5 - Prob. 44PSCh. 11.5 - Prob. 45PSCh. 11.5 - Prob. 46PSCh. 11.5 - Prob. 47PSCh. 11.5 - Prob. 48PSCh. 11.5 - Prob. 49PSCh. 11.5 - Prob. 50PSCh. 11.5 - Prob. 51PSCh. 11.5 - Prob. 52PSCh. 11.5 - Prob. 53PSCh. 11.5 - Prob. 54PSCh. 11.5 - Prob. 55PSCh. 11.5 - Prob. 56PSCh. 11.5 - Prob. 57PSCh. 11.5 - Prob. 58PSCh. 11.5 - Prob. 59PSCh. 11.5 - Prob. 60PSCh. 11.6 - Prob. 1PSCh. 11.6 - Prob. 2PSCh. 11.6 - Prob. 3PSCh. 11.6 - Prob. 4PSCh. 11.6 - Prob. 5PSCh. 11.6 - Prob. 6PSCh. 11.6 - Prob. 7PSCh. 11.6 - Prob. 8PSCh. 11.6 - Prob. 9PSCh. 11.6 - Prob. 10PSCh. 11.6 - Prob. 11PSCh. 11.6 - Prob. 12PSCh. 11.6 - Prob. 13PSCh. 11.6 - Prob. 14PSCh. 11.6 - Prob. 15PSCh. 11.6 - Prob. 16PSCh. 11.6 - Prob. 17PSCh. 11.6 - Prob. 18PSCh. 11.6 - Prob. 19PSCh. 11.6 - Prob. 20PSCh. 11.6 - Prob. 21PSCh. 11.6 - Prob. 22PSCh. 11.6 - Prob. 23PSCh. 11.6 - Prob. 24PSCh. 11.6 - Prob. 25PSCh. 11.6 - Prob. 26PSCh. 11.6 - Prob. 27PSCh. 11.6 - Prob. 28PSCh. 11.6 - Prob. 29PSCh. 11.6 - Prob. 30PSCh. 11.6 - Prob. 31PSCh. 11.6 - Prob. 32PSCh. 11.6 - Prob. 33PSCh. 11.6 - Prob. 34PSCh. 11.6 - Prob. 35PSCh. 11.6 - Prob. 36PSCh. 11.6 - Prob. 37PSCh. 11.6 - Prob. 38PSCh. 11.6 - Prob. 39PSCh. 11.6 - Prob. 40PSCh. 11.6 - Prob. 41PSCh. 11.6 - Prob. 42PSCh. 11.6 - Prob. 43PSCh. 11.6 - Prob. 44PSCh. 11.6 - Prob. 45PSCh. 11.6 - Prob. 46PSCh. 11.6 - Prob. 47PSCh. 11.6 - Prob. 48PSCh. 11.6 - Prob. 49PSCh. 11.6 - Prob. 50PSCh. 11.6 - Prob. 51PSCh. 11.6 - Prob. 52PSCh. 11.6 - Prob. 53PSCh. 11.6 - Prob. 54PSCh. 11.6 - Prob. 55PSCh. 11.6 - Prob. 56PSCh. 11.6 - Prob. 57PSCh. 11.6 - Prob. 58PSCh. 11.6 - Prob. 59PSCh. 11.6 - Prob. 60PSCh. 11.7 - Prob. 1PSCh. 11.7 - Prob. 2PSCh. 11.7 - Prob. 3PSCh. 11.7 - Prob. 4PSCh. 11.7 - Prob. 5PSCh. 11.7 - Prob. 6PSCh. 11.7 - Prob. 7PSCh. 11.7 - Prob. 8PSCh. 11.7 - Prob. 9PSCh. 11.7 - Prob. 10PSCh. 11.7 - Prob. 11PSCh. 11.7 - Prob. 12PSCh. 11.7 - Prob. 13PSCh. 11.7 - Prob. 14PSCh. 11.7 - Prob. 15PSCh. 11.7 - Prob. 16PSCh. 11.7 - Prob. 17PSCh. 11.7 - Prob. 18PSCh. 11.7 - Prob. 19PSCh. 11.7 - Prob. 20PSCh. 11.7 - Prob. 21PSCh. 11.7 - Prob. 22PSCh. 11.7 - Prob. 23PSCh. 11.7 - Prob. 24PSCh. 11.7 - Prob. 25PSCh. 11.7 - Prob. 26PSCh. 11.7 - Prob. 27PSCh. 11.7 - Prob. 28PSCh. 11.7 - Prob. 29PSCh. 11.7 - Prob. 30PSCh. 11.7 - Prob. 31PSCh. 11.7 - Prob. 32PSCh. 11.7 - Prob. 33PSCh. 11.7 - Prob. 34PSCh. 11.7 - Prob. 35PSCh. 11.7 - Prob. 36PSCh. 11.7 - Prob. 37PSCh. 11.7 - Prob. 38PSCh. 11.7 - Prob. 39PSCh. 11.7 - Prob. 40PSCh. 11.7 - Prob. 41PSCh. 11.7 - Prob. 42PSCh. 11.7 - Prob. 43PSCh. 11.7 - Prob. 44PSCh. 11.7 - Prob. 45PSCh. 11.7 - Prob. 46PSCh. 11.7 - Prob. 47PSCh. 11.7 - Prob. 48PSCh. 11.7 - Prob. 49PSCh. 11.7 - Prob. 50PSCh. 11.7 - Prob. 51PSCh. 11.7 - Prob. 52PSCh. 11.7 - Prob. 53PSCh. 11.7 - Prob. 54PSCh. 11.7 - Prob. 55PSCh. 11.7 - Prob. 56PSCh. 11.7 - Prob. 57PSCh. 11.7 - Prob. 58PSCh. 11.7 - Prob. 59PSCh. 11.7 - Prob. 60PSCh. 11.8 - Prob. 1PSCh. 11.8 - Prob. 2PSCh. 11.8 - Prob. 3PSCh. 11.8 - Prob. 4PSCh. 11.8 - Prob. 5PSCh. 11.8 - Prob. 6PSCh. 11.8 - Prob. 7PSCh. 11.8 - Prob. 8PSCh. 11.8 - Prob. 9PSCh. 11.8 - Prob. 10PSCh. 11.8 - Prob. 11PSCh. 11.8 - Prob. 12PSCh. 11.8 - Prob. 13PSCh. 11.8 - Prob. 14PSCh. 11.8 - Prob. 15PSCh. 11.8 - Prob. 16PSCh. 11.8 - Prob. 17PSCh. 11.8 - Prob. 18PSCh. 11.8 - Prob. 19PSCh. 11.8 - Prob. 20PSCh. 11.8 - Prob. 21PSCh. 11.8 - Prob. 22PSCh. 11.8 - Prob. 23PSCh. 11.8 - Prob. 24PSCh. 11.8 - Prob. 25PSCh. 11.8 - Prob. 26PSCh. 11.8 - Prob. 27PSCh. 11.8 - Prob. 28PSCh. 11.8 - Prob. 29PSCh. 11.8 - Prob. 30PSCh. 11.8 - Prob. 31PSCh. 11.8 - Prob. 32PSCh. 11.8 - Prob. 33PSCh. 11.8 - Prob. 34PSCh. 11.8 - Prob. 35PSCh. 11.8 - Prob. 36PSCh. 11.8 - Prob. 37PSCh. 11.8 - Prob. 38PSCh. 11.8 - Prob. 39PSCh. 11.8 - Prob. 40PSCh. 11.8 - Prob. 41PSCh. 11.8 - Prob. 42PSCh. 11.8 - Prob. 43PSCh. 11.8 - Prob. 44PSCh. 11.8 - Prob. 45PSCh. 11.8 - Prob. 46PSCh. 11.8 - Prob. 47PSCh. 11.8 - Prob. 48PSCh. 11.8 - Prob. 49PSCh. 11.8 - Prob. 50PSCh. 11.8 - Prob. 51PSCh. 11.8 - Prob. 52PSCh. 11.8 - Prob. 53PSCh. 11.8 - Prob. 54PSCh. 11.8 - Prob. 55PSCh. 11.8 - Prob. 56PSCh. 11.8 - Prob. 57PSCh. 11.8 - Prob. 58PSCh. 11.8 - Prob. 59PSCh. 11.8 - Prob. 60PSCh. 11 - Prob. 1PECh. 11 - Prob. 2PECh. 11 - Prob. 3PECh. 11 - Prob. 4PECh. 11 - Prob. 5PECh. 11 - Prob. 6PECh. 11 - Prob. 7PECh. 11 - Prob. 8PECh. 11 - Prob. 9PECh. 11 - Prob. 10PECh. 11 - Prob. 11PECh. 11 - Prob. 12PECh. 11 - Prob. 13PECh. 11 - Prob. 14PECh. 11 - Prob. 15PECh. 11 - Prob. 16PECh. 11 - Prob. 17PECh. 11 - Prob. 18PECh. 11 - Prob. 19PECh. 11 - Prob. 20PECh. 11 - Prob. 21PECh. 11 - Prob. 22PECh. 11 - Prob. 23PECh. 11 - Prob. 24PECh. 11 - Prob. 25PECh. 11 - Prob. 26PECh. 11 - Prob. 27PECh. 11 - Prob. 28PECh. 11 - Prob. 29PECh. 11 - Prob. 30PECh. 11 - Prob. 1SPCh. 11 - Prob. 2SPCh. 11 - Prob. 3SPCh. 11 - Prob. 4SPCh. 11 - Prob. 5SPCh. 11 - Prob. 6SPCh. 11 - Prob. 7SPCh. 11 - Prob. 8SPCh. 11 - Prob. 9SPCh. 11 - Prob. 10SPCh. 11 - Prob. 11SPCh. 11 - Prob. 12SPCh. 11 - Prob. 13SPCh. 11 - Prob. 14SPCh. 11 - Prob. 15SPCh. 11 - Prob. 16SPCh. 11 - Prob. 17SPCh. 11 - Prob. 18SPCh. 11 - Prob. 19SPCh. 11 - Prob. 20SPCh. 11 - Prob. 21SPCh. 11 - Prob. 22SPCh. 11 - Prob. 23SPCh. 11 - Prob. 24SPCh. 11 - Prob. 25SPCh. 11 - Prob. 26SPCh. 11 - Prob. 27SPCh. 11 - Prob. 28SPCh. 11 - Prob. 29SPCh. 11 - Prob. 30SPCh. 11 - Prob. 31SPCh. 11 - Prob. 32SPCh. 11 - Prob. 33SPCh. 11 - Prob. 34SPCh. 11 - Prob. 35SPCh. 11 - Prob. 36SPCh. 11 - Prob. 37SPCh. 11 - Prob. 38SPCh. 11 - Prob. 39SPCh. 11 - Prob. 40SPCh. 11 - Prob. 41SPCh. 11 - Prob. 42SPCh. 11 - Prob. 43SPCh. 11 - Prob. 44SPCh. 11 - Prob. 45SPCh. 11 - Prob. 46SPCh. 11 - Prob. 47SPCh. 11 - Prob. 48SPCh. 11 - Prob. 49SPCh. 11 - Prob. 50SPCh. 11 - Prob. 51SPCh. 11 - Prob. 52SPCh. 11 - Prob. 53SPCh. 11 - Prob. 54SPCh. 11 - Prob. 55SPCh. 11 - Prob. 56SPCh. 11 - Prob. 57SPCh. 11 - Prob. 58SPCh. 11 - Prob. 59SPCh. 11 - Prob. 60SPCh. 11 - Prob. 61SPCh. 11 - Prob. 62SPCh. 11 - Prob. 63SPCh. 11 - Prob. 64SPCh. 11 - Prob. 65SPCh. 11 - Prob. 66SPCh. 11 - Prob. 67SPCh. 11 - Prob. 68SPCh. 11 - Prob. 69SPCh. 11 - Prob. 70SPCh. 11 - Prob. 71SPCh. 11 - Prob. 72SPCh. 11 - Prob. 73SPCh. 11 - Prob. 74SPCh. 11 - Prob. 75SPCh. 11 - Prob. 76SPCh. 11 - Prob. 77SPCh. 11 - Prob. 78SPCh. 11 - Prob. 79SPCh. 11 - Prob. 80SPCh. 11 - Prob. 81SPCh. 11 - Prob. 82SPCh. 11 - Prob. 83SPCh. 11 - Prob. 84SPCh. 11 - Prob. 85SPCh. 11 - Prob. 86SPCh. 11 - Prob. 87SPCh. 11 - Prob. 88SPCh. 11 - Prob. 89SPCh. 11 - Prob. 90SPCh. 11 - Prob. 91SPCh. 11 - Prob. 92SPCh. 11 - Prob. 93SPCh. 11 - Prob. 94SPCh. 11 - Prob. 95SPCh. 11 - Prob. 96SPCh. 11 - Prob. 97SPCh. 11 - Prob. 98SPCh. 11 - Prob. 99SP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Find the equation of the plane tangent to the following surface at the given points (7,5, ln 36) and (-7,-5, ln 36)arrow_forwardProblem 5. Find an equation of the tangent plane to the surface z = In(2x + y) at the point (-1, 3,0).arrow_forward5. Find the equations of the tangent line and normal line to the parabola y = 2x² at the point (2,8). 6. Write equations of the tangent and normal to the graph of the function y = xyx – 1 at x=2.arrow_forward
- a) Plot the curve x^3 - 4xy + 2y^3 = 0 as x varies between -3 and 3 with the aid of theimplicitplot command.b) Find dy/dx at all points (x,y) on the curve for which x = 1.c) Find the equations of the lines tangent to the curve at the points you found in part b.d) Plot the curve and the tangent lines on the same set of axes.arrow_forwarda) Find an equation of the tangent to the curve at the given point by two methods: (i) without eliminating the parameter and (ii) by first eliminating the parameter. x = 5 cost, y = 5 sint, (3,4), 0≤t≤ 2πarrow_forwardFind the equations of the lines tangent and normal to the curve given by the parametric equations x = 4 cos t and y = 2sin2 t at t = π/3arrow_forward
- 5. Find parametric equations for the tangent line to the curve F(t) = (²+3t+2, e' cost, ln(t + 1)) r²(+2/2++? etc. at the point (2,1,0) tarrow_forwardFind parametric equations for the tangent line to the curve x = 2 sin t, y = 2 sin 2t, z = 2 sin 3t at the point (l,√3, 2). Graph the curve and the tangent line on a common screen.arrow_forward7. Find an equation of the plane tangent to the surface sin(xyz) = - at the point ( T, 1,-) 2arrow_forward
- 11. Find an equation of the tangent plane to the graph y = x² + 2xz at (1,3, 1). (Possible Answer: 4x – y+ 2z = 3)arrow_forward(i) Find equations of the tangent plane and the normal line to the given surface at the specified point. sin(xyz) = x + 2y+3z, (2,-1,0).arrow_forward1. a) Find dy for the equation 4x²y² - x³y=3 dx b) find the x-coordinate of each point on the curve where the tangent line is vertical () Find the y-coordinate of each point on the curve. with an x-coordinate of -1.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Double and Triple Integrals; Author: Professor Dave Explains;https://www.youtube.com/watch?v=UubU3U2C8WM;License: Standard YouTube License, CC-BY