Recent content by baileyyc

I am having trouble with this problem: Let T:V->W be a linear transformation. Prove that T is one-to-one if and only if dimension of V = dim(RangeT). I know that in order to be a linear transformation: 1) T(vector u + vector v) = T(vector u) + T(vector v) and 2) T(c*vector u) =...

yes I am typing it correctly

this is how I tried to solve the problem: y'=k(y-68) dy/dt=k(y-68) ∫(1/y-68)dy=∫kdt e^ln|y-68|=e^kt+c1 y-68=e^kt+c1 y=68+ce^kt 100=68+ce^k(0) 100=68+c c=32 when t=1, y=95 when t=2, y=92 95=68+32e^k(1) 92=68+32e^k(2) 27=32e^1k...

a cup of coffee is heated to 100° then left in a room with a constant temperature of 68° after a minute the temperature of the coffee has dropped to 95° after another minute to 92 degrees. how much time must pass before the temperature of the coffee has dropped to 70°?