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relative maxima and relative minima?

1.) Find the relative maxima and relative minima, if any of the function
f(x)=sin(x)+cos(x)

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

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

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

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

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One Response to “relative maxima and relative minima?”

  1. ykmuagoj says:
    March 9, 2010 at 1:46 am

    /
    1)f’=cosx-sinx=0
    cosx=sinx
    tanx=1
    x=pi/4,3pi/4
    f”=-sinx-cosx
    x=pi/4 ismax
    x=3pi/4 is min

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