Find Mass, Mx, My and :E and Q of the Lamina bounded by R : {($, y) I {l g a: g 5, 4 g y g 4} and with the density function p(:l:, y) = 4 . m . yz . Provide answers as fractions or as decimals accurate to at least 4 decimal places. Lamina Problem Lamina (area-)1\" Density Function p(x,y) Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Mass = ' ' \fConvert the point (3:, y, z) : (3, 2, 1) to cylindrical coordinates. Give answers either as expressions, or decimals to at least one decimal place, with positive values for 6 and r. E?" 9, z) : 371' 4 I answers) either as expressions, or decimals to at least one decimal place. (m: 91': [DES] Convert the point (r, 6, z) = (1, 2) to Cartesian coordinates. Give Find an equation in cylindrical coordinates for the rectangular equation $2 _|_ 92 : 9y Entry Tip #1: To enter 6', type "theta". Example: r*sin(theta) = 'r sin(9) Entry Tip #2: To enter a squared trig function, wrap the outside of the trig function with parentheses. Example: (sin(theta))"2 = 3511209) Use Euler's method with step size 0.4 to compute the approximate y-values y(1.4) and y(1.8), of the solution of the initial-value problem y'= = -1 - 2x - 2y, y(1) = 4. y(1.4) = y(1.8) =\f0.25 Note: The graph is an example. The scale may not be the same for your particular problem. 1 Evaluate dV, where E lies between the spheres x2 + y2 + 22 = 16 and Ex'ty2+ 22 x2 + y2 + 22 = 25 in the first octant