The density of the rectangular plate [2,4] × [3, 5] in the x, y-plane is p = y/(3 + xy) in kilograms per meter cubed, where x, y are in meters. The value of cos(3M), where M is the mass of the plate, is 0.223 0.988 0.549 -0.173 -0.992 0.545 -0.863 0.128

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the base area of a right circular cone that is 15.8 centimeters high and has a volume of 1070 cubic centimeters.

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid brass casting in the shape of a right circular cone has a base diameter of 4.36 inches and a height of 3.94 inches. Find the weight of the casting. Brass weighs 0.302 pound per cubic inch.

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a right circular cylinder that has a height of 4,600 inches and a base area of 53.00 square inches.

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the volume of a prism with a base area of 220.0 square centimeters and a height of 7.600 centimeters.

A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches. a. Express the total surface area S of the can, using x and h. Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder. b. Using the fact that the total area is 40 square inches, express h in terms of x. c. Express the volume V of the can in terms of x.

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.

is read-only. L) Immersive Reader Open in Desktop 3) Suppose the concentration of a drug, in mg, present in the body can be represented by A(t) = 280(.86) where t is in minutes since the drug has been administered. Find and inter- pret A(2) and A'(2) and include units. Use this information to approximate A(4).

A cylindrical tank filled with water has height h and a baseof area A. Water leaks through a hole in the bottom of area B.(a) Show that the time required for the tank to empty is proportionalto A√h/B.(b) Show that the emptying time is proportional to V h−1/2, where Vis the volume of the tank.(c) Two tanks have the same volume and a hole of the same size, butthey have different heights and bases. Which tank empties first: thetaller or the shorter tank

The temperature (in degrees centigrade) at a point P on a circular wire of radius 2 cm centered at the origin is equal to the square of the distance from P to Po = (2, 0). Compute the average temperature along the wire.