V of the solid that lies under the parab Express the volume z = 4-x2-y2 and above the xy-plane as an iterated integral in polar coordinates Consider the integral ayyx2 +y2 dA with the region (a) First describe the domain R in polar coordinates. (b) Write the integral as an iterated integra! in polar coordinates O Consider the integral Je 2x ds, where C consists of the arc C of the parabola y = x2 from (0,0) to (1,1) (a) Parameterize C by a curve r(t), 0 sts1 (b) Express this integral as an integral of the form J F(t) dt, i.e. find F(t) O Evaluate Jc y dx + x dy, where C is the line segment from (-5,-3) to (0,2), by first parameterizing C O Evaluate Jcy dx + z dy + x dz, where C consists of the line segment from (4,0,0) to (3, 4,5), by first parameterizing C.