Using cylindrical coordinates, find the mass of an ice cream cone if the waffle cone has equation z = 1/squareroot(x^2 + y^2)^1/2 and the ice cream has equation x^2 + y^2 + (z - 1)^2 = 3 and the density of the entire treat is rho(x, y, z) = 5 - xyz. set up the triple integral of a function g(x, y, z) over the region r hounded below by the cone z = (x^2 + y^2)^1/2 and above by the sphere x^2 + y^2 + z^2 = 4, in cartesian, cylindrical and spherical coordinates.

write the triple integral tripleintegral_w 1/squareroot x^2 + y^2 + z^2 dv in cartesian and spherical coordinates, where w is the bottom half of the sphere of radius 5 centered at (1, 2, 0).
evaluate the integral using spherical coordinates.

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true