Can anyone help with Question 2 or 4 on this worksheet. I figured out the other problems. I will post document.

2)The graph to the right shows the rate of
change in the temperature of a liquid within
an experiment over a period of several
hours. The temperature of the liquid at the
beginning of this experiment (at t = 0) is
46degrees F. Use all this information to answer
the questions that follow.

4)The graph at left of function, f , is
drawn in such a way that each tick mark
represents one unit. Give your best
estimate for each of the following
quantities:

Question

Can anyone help with Question 2 or 4 on this worksheet.  I figured out the other problems.  I will post document.

2)The graph to the right shows the rate of
change in the temperature of a liquid within
an experiment over a period of several
hours. The temperature of the liquid at the
beginning of this experiment (at t = 0) is
46degrees F. Use all this information to answer
the questions that follow.

4)The graph at left of function, f , is
drawn in such a way that each tick mark
represents one unit. Give your best
estimate for each of the following
quantities:

amistre64 · Answer

integration gives us the area under a curve

amistre64 · Answer

min or max is determine when f' = 0 or is undefined

amistre64 · Answer

f'(x) = x-8 ; from 0 to 4
       = 8 ; from 4 to 8

f(x) = x^2/2 -8x + C ; from 0 to 4
      = 8x from 4 to 8

amistre64 · Answer

forgot a +C on tha tlast bit :)

amistre64 · Answer

given that f(0) = 46 that amounts to

f(x) = x^2/2 -8x + 46

we might be able to assume that 4 to 8 starts where the other one leaves off; but as is there is no sure way to define it