Driven by technological advances and financial pressures, the number of surgeries performed in physicians' offices nationwide has been increasing over

banganX

banganX

Answered question

2021-05-31

Driven by technological advances and financial pressures, the number of surgeries performed in physicians' offices nationwide has been increasing over the years. The function f(t)=0.00447t3+0.09864t2+0.05192t+0.8(0t15) gives the number of surgeries (in millions) performed in physicians' offices in year t, with t=0 corresponding to the beginning of 1986.
a. Plot the graph of f in the viewing window [0,15]×[0,10].
b. Prove that f is increasing on the interval [0, 15].

Answer & Explanation

l1koV

l1koV

Skilled2021-06-01Added 100 answers

1. [Graph]
2. We substitute t=1 (any number from (0,15)) into f'(t)'
f(1)=13411˙2197281˙5192100000=0.23578

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