Let f be the function given by f(x) = x3+ 5x . For what value of x in the closed interval [1,3 ] does the instantaneous rate of change of f equal the average rate of change of f on that interval?

x = 2.1

Step-by-step explanation:

Instantaneous rate of change of f =

Average rate of change of f in an interval [a,b] =

Average rate of change =

At the point when instantaneous rate of change = Average rate of change,

Divide both sides by 3

Take the square root of both sides

±

±2.0817

But since the value of x has to be between 1 and 3,

x = 2.0817 ≅ 2.1

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.

step-by-step explanation:

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