This preview shows page 1. Sign up to view the full content.
Unformatted text preview: (a) rotated around the x-axis (b) rotated around the line x = 1. 4. a) Sketch the graph of the parametrized curve C given by x = 2 + 3 cos2 t, y =-3 + 3 sin 2 t for t 4 . b) Find a curve y = f ( x ) through the point ( / 2 , 2) whose length integral is L = i r 1 + (sin 2 x ) e 2 cos x dx. 5. Let f ( x ) = 1 + 2 x-x 2 and g ( x ) = x 2-2 x + 1, and let R be the region between the graphs of f and g on [0 , 2]. Find the center of gravity of R . 1...
View Full Document
- Spring '07