{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Pre-Calc Homework Solutions 176

# Pre-Calc Homework Solutions 176 - 176 Section 4.6 dV dt dV...

This preview shows page 1. Sign up to view the full content.

4. Use implicit differentiation. } d d x } ( x sin y ) 5 } d d x } (1 2 xy ) ( x )(cos y ) } d d y x } 1 (sin y )(1) 5 2 x } d d y x } 2 y (1) ( x 1 x cos y ) } d d y x } 5 2 y 2 sin y } d d y x } 5 } x 2 1 y 2 x c s o in s y y } } d d y x } 5 2 } x y 1 1 x s c in os y y } 5. Use implicit differentiation. } d d x } x 2 5 } d d x } tan y 2 x 5 sec 2 y } d d y x } } d d y x } 5 } se 2 c x 2 y } } d d y x } 5 2 x cos 2 y 6. Use implicit differentiation. } d d x } ln ( x 1 y ) 5 } d d x } (2 x ) } x 1 1 y } 1 1 1 } d d y x } 2 5 2 1 1 } d d y x } 5 2( x 1 y ) } d d y x } 5 2 x 1 2 y 2 1 7. Using A ( 2 2, 1) we create the parametric equations x 5 2 2 1 at and y 5 1 1 bt , which determine a line passing through A at t 5 0. We determine a and b so that the line passes through B (4, 2 3) at t 5 1. Since 4 5 2 2 1 a , we have a 5 6, and since 2 3 5 1 1 b , we have b 5 2 4. Thus, one parametrization for the line segment is x 5 2 2 1 6 t , y 5 1 2 4 t , 0 # t # 1. (Other answers are possible.) 8. Using A (0, 2 4), we create the parametric equations x 5 0 1 at and y 5 2 4 1 bt , which determine a line passing through A at t 5 0. We now determine a and b so
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online