Sample Test #4

4.1 Find the inverse for

4.2 Solve the equation for x:

4.3 Use implicit differentiation to find y'

4.4 Use logarithmic differentiation to find y'

4.5 Find y'

4.6 A spherical balloon is being filled with helium at a rate of 5 cubic meters per minute. How fast is the diameter growing when the balloon is filled with 15 cubic meters of helium?

4.7 Find the limits: