How do you solve this calculus problem?

Almost half of the companies let other firms manage some of their web operations- a practice called Web Hosting. 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(x)= 0.469x^2 + 0.758x + 0.44 (0

where f(x) is measured in billions of dollars and x=0 corresponds to 1999.

find the interval where f is increasing and decreasing

Chosen Answer:

f(x)= 0.469x^2 + 0.758x + 0.44 (0 This function is continuously increasing on (0,6)
Graph the function

or
f'(x) = 2(0.469) x +0.758
f'(x) = 0.938x+0.758
Substitute any value between 0 and 6
f'(x) > 0, so f must be increasing on (0,6)
by: cidyah
on: 9th May 10

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One Response to “How do you solve this calculus problem?”

  1. cidyah says:

    f(x)= 0.469x^2 + 0.758x + 0.44 (0 This function is continuously increasing on (0,6)
    Graph the function

    or
    f'(x) = 2(0.469) x +0.758
    f'(x) = 0.938x+0.758
    Substitute any value between 0 and 6
    f'(x) > 0, so f must be increasing on (0,6)

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