28. an open top box is to be formed by cutting out squares from
the corners of a 50 centimeter x 30 centimeter rectangular sheet of
material. The height of the box must be a whole number of
centimeters. What size squares should be cut out to obtain the box
with maximum volume.
a. Understanding the problem: If 6 centimeter x
6 centimeter squares are cut from from the corners, the height of
the box will be 6 centimeters. In...
You want to build a rectangular box in such a way that the sum of the length, width and height is 24 cm.
a) Define the equations so that the dimensions of their volume are maximum
b) Which of the equations proposed would be the restriction and which function? Explain
c) Using the technique you want to calculate maximums and minimums, what are these values? What volume will the box have?
1.A materials fatigue resistance can be improved
by
removing sharp corners in the geometric design of the
component
introducing a residual compressive stress on the surface
of the component.
operating the component at temperatures above its
melting point
introducing surface flaws to the component
2.What test is used to determine the toughness of a
material under shock loading?
hardness test
Impact test
compression test
tensile test
3.Martensite
is a phase that consists of lamellar arrangement of iron
and cementite
is...
A rectangular box with a square base is to be constructed from
material that costs $6/ft2 for the bottom, $14/ft2 for the top, and
$5/ft2 for the sides. Find the greatest volume of the box if it
costs $240.
An open rectangular box is made from a 9 inch by 12 inch piece
of cardboard by cutting squares of side length ? from the corners.
Determine the length of the sides of the square which will maximize
the volume. (Clearly identify the function in terms of one variable
and state the domain, then solve.)
Write The MATLAB SCRIPT for:
An open-top box is constructed from a rectangular piece of sheet
metal measuring 10 by 16 inches. Square of what size (accurate to
10-9 inch) should be cut from the corners if the volume
of the box is to be 100 cubic inches?
Notes: to roughly estimate the locations of the
roots of the equation and then approximate the roots to this
equation using Newton Iteration
method.
Please don't give me the Matlab Commands for...
An open-top rectangular box has a volume of 250 cm 3. The width
of the box is 5 cm. The cost is $2/ cm 2 for the base and $1/ cm 2
for the other sides. What is the minimum cost for making the
box?
A box with an open top is to be constructed out of a rectangular
piece of cardboard with dimensions length=10 ft and width=11 ft by
cutting a square piece out of each corner and turning the sides up.
Determine the length x of each side of the square that
should be cut which would maximize the volume of the box.
A cereal box, in the shape of a rectangular prism and with a
closed top, is to be
constructed so that the base is twice as long as it is wide. Its
volume is to be 8000cm3。
Find the dimensions that will minimize the amount of cardboard
required to make the box.