Use the mesh$-$current method to solve the circuit. $(30$ pts for total$)$

Please check your email to find the values in problem $1$: Resistances: R$1,$ R$2,$ R$3,$ R$4,$ Voltage source: E$1$ and voltage dependent source: E$2.$

a$)$ Calculate the mesh currents. $(10$pts$)$

b$)$ Calculate the power delivered by the E$1$ voltage source. $(5$pts$)$

c$)$ Calculate the power of the dependent voltage source E$2.$ Does the dependent voltage source deliver power or consume power? $(5$pts$)$

d$)$ Calculate the power dissipated by the resistors. $(5$pts$)$

e$)$ Verify the power is balanced. $(5$pts$)$