Evaluate the integral 6. dx x2 V16x2 – 9 | Note: Use an upper-case "C" for the constant of integration.

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.