Asked by I can't math

I'm stuck on this problem and I dont know how to even start it...
Let f be the function defined by f(x)=2sinx+cosx. The average rate of change of f over the interval [0,b] is 0.05, where b>0. Which of the following is an equation that could be used to find the value of b ?

A f(b)=0.05
B f(b)−f(0)=0.05
C (f(b)−f(0))/ (b-0) =0.05
D (f(b)+f(0))/ 2=0.05

Answers

Answered by oobleck
as always, the average rate of change over the interval [a,b] is
(f(b)-f(a))/(b-a)

Looks like C to me

Better review the topic in your text again. It is just the slope of the line joining the two points on the curve.
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