6. {15 pts } Assume that a nerve cell (soma) looks like the figure below: combination of a sphere and a cylinder. The radius of the haif-sphere is 10m, and the cylinder is 10m-long and its radius is 5m. Assume the specific membrane resistance RM= 10,000cm2. Calculate the input (overall) resistance of the cell. Show your answer in units of . 7. {15 pts } Refer to the previous question. You inject current (10pA) into the cell and measure the membrane potential, Vm. The graph below shows the passive change in membrane voltage when a current is injected into the cell. The voltage changes from a the cell. Show your answer in units of F. The membrane potential al (about 6.4mV). Estimate the input (overall) capacitance of Vm=IinjRin(1expr1)+Vmexnrl