Consider the following. x = y + y3, 0 ≤ y ≤ 5 (a) Set up an integral for the area of the surface obtained by rotating the curve about the x-axis and the y-axis. (i) the x-axis S = 5 0 dy (ii) the y-axis S = 5 0 dy (b) Use the numerical integration capability of a calculator to evaluate the surface areas correct to four decimal places. (i) the x-axis (ii) the y-axis

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)