Calculus

What does the following double integral calculate? 1 1 , f( x, v)dA mass of a solid none of these above O area of the region D volume of a solid bounded by the surface S over a region D D Question 2 4 pts What does the following integral calculate? 1 1 1 dA none of these above Volume of region D Mass of region D O Area of region DD Question 3 4 pts What does the following integral calculate? f ( x, y, 2 ) dV Area of solid E Mass of solid E O Volume of solid E O none of these above D Question 4 4 pts What does the following integral calculate? none of these above Mass of solid E O Area of solid E Volume of solid ED Question 5 4 pts How many iterated triple integrals are there? 0 3 0 4 0 6 0 5 D Question 6 4 pts Given dV=dxdydz, visually what does dydz describe? O Projection of solid E onto yz-plane Projection of solid E onto xz-plane O Projection of solid E onto xy-planeD Question 7 4 pts What method to use to evaluate the following problem? V 4 - x 2 ex -y dydx O polar coordinates O cylindrical coordinates O reverse order of integration O spherical coordinates D Question 8 4 pts Cylindrical coordinates are usually used to compute the mass of an object involving cylinder. Spherical coordinates are usually used to compute the mass of an object involving cone and/or sphere. O false trueD Question 9 4 pts It is possible to set up triple integrals in rectangular coordinates, cylindrical coordinates, and spherical coordinates evaluate the volume of a particular 3D object. O true O false D Question 10 4 pts Converting double integrals from rectangular coordinates to polar coordinates, and converting triple integrals from rectangular coordinates to cylindrical coordinates or spherical coordinates are examples of a general procedure known as what? O transformation O integration change of variables O substitution O Jacobian determinant