Originally Posted by

**lemontea** 1.) Find the relative maxima and relative minima, if any of the function

f(x)=sin(x)+cos(x)

Mr F says: Solve f'(x) = 0 and test the nature of the solutions.

2.)Average cost the average cost in dollars incurred by Records each week in prressing x compact discs is given by

C(x)=-0.0001x+2+2000/x (0<x<6000)

Show that C(x) is always decreasing over the interval (0<x<6000)

Mr F says: Show that C'(x) < 0 over the given interval.

3.) Almost half of companies let other firms manage some of their Web operations-a practice called Web hostings .managed services- monitoring

a customer's technology services is the fastest growing part of Web hosting.

Managed services sales are expected to grow in accordance with the function.

f(t)=0.469t^2+0.758t+0.44 (0<t<6)

measured in billions of dollars and t is measured in years with t=0 corresponding to 1999

a)find the interval where f is increasing and the interval where f is decreasing.

Mr F says: Solve f'(t) > 0 and f'(t) < 0 respectively.

b) what does your result tell you about sales in managed services from 1999 through 2005?

Mr F says: Interpret your solutions to (a).