Calculus
Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10.2, Problem 7PS
To determine

To calculate: The vector derivatives, F' and F'' for the vector functions are to be determined.

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Chapter 10.2, Problem 6PS
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Chapter 10.2, Problem 8PS
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2. 10-2z 12y – 8x dy dæ dz
Problems dy for the following functions : dx 1. Find 1) y = (x - 3)(1- x) ах + b y = (ans .: 4 - 2xr) 2) b (ans .:-- (- x? 1 3x + 4 y = 2x + 3 3) (ans . : (2x + 3) _ 1 Vx 10 4) y = 3x' - 2Vx+5, (ans . : 9x? 1 3(x -1) 5) y = (ans . : 1 6) y = (2x - 1) (3.x + 2) + (x- 2)2 (ans. : (2x – 1)(3x + 2) (30x - 1) - (x - 2) 7) y = In(ln x) 1 (ans.: x.ln x 8) y = In(Cosx) (ans.:-tan x) 9) y = Sinx3 (ans.:3x.Cosx) 30x.Sin(5x² + 4), (ans.: Cos* (5x2 + 4) 10) y = Cos- (5x? + + 2) 11) y = tan x.sin x (ans. : Sinx + tan x.Secx ) ( ans.: Sec? ( Secx ).Secx .tan x) x +1 х — 1 12) y = tan( Secr) x+ 6 13) (ans.: .Cot (x - 1) y = Cot x - 1 x - 1 14) Cosx y = (ans. :- X.Sinx + Cosx_, x² Sec' 2x + 7 2/2x + 7 Vtan V2x +7 (ans .: x.Cosx + 2x.Sinx) Cot 5x 15) y = Vtan V2 x + 7 (ans.: 16) y = x².Sinx 5 (ans .: 35x 17) y = Csc 3 5x = x[Sin (In x) + Cos (In x)] Csc 3 5x (ans . : 2.Cos (In x)) 18) v = 10х 19) y= Sin" (5x?) (ans.: V1- 25x
What must be the value of y if u = (1/3, y, -1/2), v = (6, 1/8, 10), and u · v = -5/2. 1 4

Chapter 10 Solutions

Calculus

Ch. 10.1 - Prob. 1PSCh. 10.1 - Prob. 2PSCh. 10.1 - Prob. 3PSCh. 10.1 - Prob. 4PSCh. 10.1 - Prob. 5PSCh. 10.1 - Prob. 6PSCh. 10.1 - Prob. 7PSCh. 10.1 - Prob. 8PSCh. 10.1 - Prob. 9PSCh. 10.1 - Prob. 10PS
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Prob. 15PSCh. 10.5 - Prob. 16PSCh. 10.5 - Prob. 17PSCh. 10.5 - Prob. 18PSCh. 10.5 - Prob. 19PSCh. 10.5 - Prob. 20PSCh. 10.5 - Prob. 21PSCh. 10.5 - Prob. 22PSCh. 10.5 - Prob. 23PSCh. 10.5 - Prob. 24PSCh. 10.5 - Prob. 25PSCh. 10.5 - Prob. 26PSCh. 10.5 - Prob. 27PSCh. 10.5 - Prob. 28PSCh. 10.5 - Prob. 29PSCh. 10.5 - Prob. 30PSCh. 10.5 - Prob. 31PSCh. 10.5 - Prob. 32PSCh. 10.5 - Prob. 33PSCh. 10.5 - Prob. 34PSCh. 10.5 - Prob. 35PSCh. 10.5 - Prob. 36PSCh. 10.5 - Prob. 37PSCh. 10.5 - Prob. 38PSCh. 10.5 - Prob. 39PSCh. 10.5 - Prob. 40PSCh. 10.5 - Prob. 41PSCh. 10.5 - Prob. 42PSCh. 10.5 - Prob. 43PSCh. 10.5 - Prob. 44PSCh. 10.5 - Prob. 45PSCh. 10.5 - Prob. 46PSCh. 10.5 - Prob. 47PSCh. 10.5 - Prob. 48PSCh. 10.5 - Prob. 49PSCh. 10.5 - Prob. 50PSCh. 10.5 - Prob. 51PSCh. 10.5 - Prob. 52PSCh. 10.5 - Prob. 53PSCh. 10.5 - Prob. 54PSCh. 10.5 - Prob. 55PSCh. 10.5 - Prob. 56PSCh. 10.5 - Prob. 57PSCh. 10.5 - Prob. 58PSCh. 10.5 - Prob. 59PSCh. 10.5 - Prob. 60PSCh. 10 - Prob. 1PECh. 10 - Prob. 2PECh. 10 - 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