Q6) Find the derivatives of the following: So a. V - dv v²+1 2 b. (f*" (c² + 1)³dt)²

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 an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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?