1. If the derivative of f is given asf1(x)=6x29 at which value does of x does f have a relative maximum

2. Find the solution of the differential equationy(x+1)+dxdy=0 that satisfies the initial condition y(2)=1.

3. If the radius of a sphere is increasing at the constant rate of 3 centimeters per second, how fast is the volume changing when the surface area is 10 square centimeters?

4. The velocity of a particle moving in a straight line at time t is given as v(t)=e^t. How far does the particle move fromt=0 to 3?

5. The velocity of a particle moving in a straight line at time t is given asv(t)=(t2)(t3)2 For what values of t is the acceleration of the particle equal to 0?