Find a function mt moert that models the mass remaining aft

Find a function m(t) = moe^rt that models the mass remaining after t years. b) How much of the sample will remain after 3000 years? c) After how long will only 10 mg of the sample remain? Find the reference number (t-bar) for each value oft and the terminal point (x,y) on the unit circle determined by t. a) t = - 4 pi/3 b) t = 17 pi/6

Solution

t=4pi/3

Here t lies in third quadrant , therefore reference angle =4pi/3-pi = pi/3

point(cospi/3,sin pi/3) = (1/2,sqrt3/2)

b.t=17pi/6

Here t is in second quadrant. Therefore referfence angle =pi- 5pi/6= pi/6

point (cospi/6,sinpi/6)= (sqrt3/2,1/2)