Answer:
slope is 3
Step-by-step explanation:
Slope =
change in y = (13-7), (19-13), (25-19), (31-25)
change in y = 6
Change in x = (4-2), (6-4), (8-6), (10-8)
Change in x = 2
Therefore slope =
Slope = 3
Find the slope of the graph
2 answers:
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Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to
where
substitute
Convert to expanded form
using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
