Let area A be the region bounded by y=(2^x)-1, y=-2x+3, and the y axis.
a) find the exact value for the area of region A.
b) set up, but DONT integrate, an integral expression in terms of a signle variable for the volume of the solid generated when A is revolved around the x axis.
c) set up an integral expression in terms of a single variable for the volume of the solid generated when A is revolved around the y axis. Find an approximation for this volume correct to the nearest hundredth.
Ok, my first question is, since it is bounded by the y axis, i need to change the two equations to x=___________ ? I did that and for the y=(2^x)-1 iend up getting (log y-1)/log 2= x and when i try to find the area using a calculuator, it gives me an error sign... i know i must be doing something wrong but i don't know what.
basically that same issue i have carries over to b and c...
is it correct to use log?