Homework 12-19

Homework 12-19 - f x (0 ,-1) = 14 f y (0 ,-1) =-10 Lesson...

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Even Numbered Answers for Lesson 12 through Lesson 19: Lesson 12 § 6.1 #2) e x/ 2 (2 x - 4) + C #4) - e - x (5 - 2 x ) + C #10) (2 / 3) x (1 - x ) 3 / 2 - (4 / 15)(1 - x ) 5 / 2 + C #14) x 2 x + 1 - (2 / 3)(2 x + 1) 3 / 2 + C Lesson 13 § 6.1 (cont. ..) #16) - 17 / 3 #18) 1 - (2 /e ) #40) (1 / 2) x 2 ln x - (1 / 4) x 2 - 2 - 2ln 2 #42) 4 , 000 - 10 , 000 e - 3 / 20 Lesson 14 § 6.2 #6) Diverges to infinity #8) 1 #10) 1 Lesson 15 § 6.2 (cont. ..) #14) 1 / 2 #26) Diverges to infinity Lesson 16 § 6.3 #6) 6.89 #10) .063 Lesson 17 § 7.1 #6) (ln4) 2 (ln3) 2 #14) x 2 + y 2 9, the DISK centered at the origin with radius 3. #20) y = - x 2 , y = 4 - x 2 , y = 9 - x 2 , 1
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Lesson 18 § 7.2 #2) ∂z ∂x = 10 xy + 2 y 3 ∂z ∂y = 5 x 2 + 6 xy 2 + 6 y #4) ∂f ∂x = 3( x + xy + y ) 2 (1 + y ) ∂f ∂y = 3( x + xy + y ) 2 ( x + 1) #6) ∂z ∂t = (2 t ) / ( s 3 ) ∂z ∂s = ( - 3 t 2 ) / ( s 4 ) #8)
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Unformatted text preview: f x (0 ,-1) = 14 f y (0 ,-1) =-10 Lesson 19 7.2 (cont. ..) #22) f xx = 0 f xy =-1 ( y-1) 2 f yy = 2( x + 1) ( y-1) 3 f yx =-1 ( y-1) 2 #24) f uu = 2( v 2-u 2 ) ( u 2 + v 2 ) 2 f uv =-4 uv ( u 2 + v 2 ) 2 f vu =-4 uv ( u 2 + v 2 ) 2 f vv = 2( u 2-v 2 ) ( u 2 + v 2 ) 2 #38) Q K (630 , 830) = 10 . 92 and Q L (630 , 830) = 19 . 33 #62)-24 ( x-y ) 2 3 t 2 + 2 x ( x-y ) 2 (-2 t ) #64) 45.8 #66) 222, increasing. 2...
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Homework 12-19 - f x (0 ,-1) = 14 f y (0 ,-1) =-10 Lesson...

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