seanbow

My answers:

1(a) -> 4

(b) -> integral from .53918 to 1.6751 of (-2 - (x^3 - 4x))

(c) -> integral from 0 to 2 of [(sin(pi x) - (x^3-4x))^2] = 9.978

(d) -> integral from 0 to 2 of [(3-x)(sin(pi x) - (x^3 - 4x))] = 8.370



2(a) -> 8

(b) -> 155.25

(c) -> 3

(d) -> 973



3(a) -> .038

(b) -> t=25

(c) -> integral from 0 to 25 of (2000-400sqrt(t)) + 60000



4(a) -> (3,-10)

(b) -> 3

(c) -> decreasing

(d) -> [0,1] and [4,6]



5:

(a) -> slope field!

(b) -> -e^((x-2)/2x) (I forgot the +1. Bleh.)

(c) -> -e^(1/2) (Again forgot the +1...)



6:

(a) -> 3 e^(-2) - x e^(-4)

(b) -> x = e

(c) -> x = e^(3/2)

(d) -> negative infinity