Student's Solution and Survival Manual for Calculus
7th Edition
ISBN: 9781524934040
Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J
Publisher: Kendall Hunt Publishing
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Chapter 11.4, Problem 35PS
To determine
To estimate: The function at the given values using an incremental approximation.
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Let a = (-1, -2, -3) and 6 = (-4, 0, 1).
Find the component of b onto a.
Forces of 9 pounds and 15 pounds act on each other with an angle of 72°.
The magnitude of the resultant force
The resultant force has an angle of
pounds.
* with the 9 pound force.
The resultant force has an angle of
with the 15 pound force.
It is best to calculate each angle separately and check by seeing if they add to 72°.
=
Let (6,2,-5) and = (5,4, -6).
Compute the following:
บี.บี.
บี. นี =
2
−4(u. v) =
(-4). v=
ū. (-40)
(ū. v) v =
Chapter 11 Solutions
Student's Solution and Survival Manual for 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 - 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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 - 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- 17. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.050. Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) du 4√3- -4² Need Help? Read It SUBMIT ANSWER 18. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.051. Evaluate the integral. (Use C for the constant of integration.) - 49 dx x² +3 Need Help? Read It Watch It SUBMIT ANSWER 19. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.057. Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 25+ x2 dxarrow_forwardLet (5,3,-7) and = (2, -3, -6). = Compute the following: u× u = -4(u xv) ux (-4v) (+v) × v=arrow_forwardLet a = (4, -2, -7) and 6 = (2,5, 3). (ã − ò) × (ã + b) =arrow_forward
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