Answer:
Step-by-step explanation:
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
For this case, the surface area of the cylinder is given by:
A = 2 * pi * r * h + 2 * pi * r ^ 2
Where.
r: cylinder radius
h: cylinder height
Substituting values we have:
A = 2 * 3.14 * 5 * (2 * 5) + 2 * 3.14 * 5 ^ 2
A = 471
Answer:
The total surface area of the cylinder is:
A = 471
Answer:
A. Paulo's level is −34.42 meters lower than Vic's level.
Step-by-step explanation:
-104.93 - (-70.51) = -104.93 + 70.51 = -34.42
A) 13.25
B) 164.64
C) 57.1
D) 145173.954289 or <span>381.017</span><span><span>2
A good calculator website is </span></span>https://www.cymath.com/