{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

fin2s

# fin2s - 1 Find the areas between these curves x = y 2 2y 4...

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

1. Find the areas between these curves x = y 2 + 2 y - 4 and x = y + 2. 2. Find the volume of the solid formed by rotating the region between y = x 2 and y = 2 x about y = - 2. 3. (a) Find the area enclosed by the curve r = 1 - cos( θ ), 0 θ 2 π . (b) Find its arclength. 4. Evaluate these integrals (a) integraldisplay e x e 2 x - 1 dx (b) integraldisplay 2 x sin 1 ( x ) dx (c) integraldisplay 1 0 ln( x ) dx 5. Determine whether these series converge or diverge. (a) summationdisplay n =1 n sin parenleftbigg 1 n parenrightbigg (b) summationdisplay n =1 1 n + n (c) summationdisplay n =1 n 2 2 n (d) summationdisplay n =1 parenleftbigg n + 1 n parenrightbigg n 2 6. Find the Maclaurin series of the function f ( x ) = integraldisplay x 0 e t - 1 t dt . Note this is a proper integral. You need not prove this fact. 7. Find the sum summationdisplay n =2 5 n ( n 2 - n )6 n . (Hint: express this as a value of a power series.)
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online