 Driven by technological advances and financial pressures, the number of surgeries performed in physicians' offices nationwide has been increasing over banganX 2021-05-31 Answered

Driven by technological advances and financial pressures, the number of surgeries performed in physicians' offices nationwide has been increasing over the years. The function $$\displaystyle{f{{\left({t}\right)}}}=-{0.00447}{t}^{{{3}}}+{0.09864}{t}^{{{2}}}+{0.05192}{t}+{0.8}{\left({0}\leq{t}\leq{15}\right)}$$ 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 $$[0,15]\times [0,10]$$.
b. Prove that f is increasing on the interval [0, 15].

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it l1koV

1. [Graph]
2. We substitute $$t=1$$ (any number from (0,15)) into f'(t)'
$$\displaystyle{f}'{\left({1}\right)}=-{\frac{{{1341}\dot{{1}}^{{{2}}}-{19728}\dot{{1}}-{5192}}}{{{100000}}}}={0.23578}$$