### Differentiation for a Tangent Line

Differentiation 1. Show that if the tangent to y=ekx at (a, eka) passes through the origin then a=1/k. 2. Find the value of a and b so that the line 2x +3y = a is tangent to the graph of f(x)=bx2 at the point where x = 3. See attached file for full problem description.