Homework: Due Week 3

1.

Compute the L₁,L₂, and $L_{\infty}$ norms for the following function e^x from [0-3].

2.

In a grey room ($\rho = .3$) with a grey table ($\rho = .3$) with a white table top ($\rho = .8$), what is a bound on the norm of the operator? How many inter-reflections (bounces) should be done in order to account for 95% of the energy.