Calculate the total charge Q of a thin plate with the charge density distribution given by the formula: p(x,y) = (1+x) 1/2 mC/m. The plate shape is restricted by the lines: x=0, x=1, y=0, and y=x, where x and y are measured in metres. a) Sketch the plate shape. b) Present the total charge through the double integral. c) Reduce the double integral to the repeated integrals and show limits of integration. d) Calculate the integral and present your answer with two significant figures.