FindA, B and C so that the lineAx+By=Cis tangent to the graph of f(x) =exand passes through (0,0).

Answer 1

y = f(x) = e^x....

y' = f'(x) = e^x

at (0,0) --> slope M = f'(0) = 1 ---> B = y - mx = 0 - (1)(0) = 0...

y = x

0 = x - y --> A = 1 B=-1 C=0