Question

In: Math

Suppose you're given a square sheet of tinfoil with side length 9 inches. Let us make...

Suppose you're given a square sheet of tinfoil with side length 9 inches. Let us make a box by removing identical squares of length x from each corner of the sheet, and folding up the resulting flaps. Find the dimensions of the box with the largest volume by optimizing over x. Enter an exact value.

Height of the Box=x=

Length=Width=

Solutions

Expert Solution


Related Solutions

An octagonal wall clock is 15.5 inches wide. Find the length of a side of a...
An octagonal wall clock is 15.5 inches wide. Find the length of a side of a clock.
A square loop of wired with side length 2 cm is in the plane of the...
A square loop of wired with side length 2 cm is in the plane of the page. At time t= 0, a 9 T magnetic field is directed into the page. The field changes to 4 T directed into the page in 0.25 seconds. What is the magnetic flux through the loop of wire at time, t = 0? What is the magnetic flux through the loop of wire 0.25 seconds later?What is the emf induced in the loop of...
Suppose you have a wire of length L. You cut a length x to make a square and use the remaining
Suppose you have a wire of length L. You cut a length x to make a square and use the remaining length L - x to make a circle. Use MuPAD to find the length x that maximizes the sum of the areas enclosed by the square and the circle.
Three charges of +Q are at the three corners of a square of side length L....
Three charges of +Q are at the three corners of a square of side length L. The last corner is occupied by a charge of -Q. Find the electric field at the center of the square.
In the vertices of a square of the side 2 x10 ^ -9 four protons are...
In the vertices of a square of the side 2 x10 ^ -9 four protons are placed. A fifth proton is initially perpendicular to the square in its center, at a distance of 2 x 10 ^ -9 thereof. Calculate (a) the minimum initial velocity that the fifth proton needs to reach the center of the square, (b) its initial and final accelerations. (c) graph the potential energy of the proton as a function of its distance from the center...
George wants to use square pavers that are 6 inches on each side to completely surround...
George wants to use square pavers that are 6 inches on each side to completely surround his flower garden. The garden is 12 feet long and 3 feet wide. How many pavers should George buy ? show work
Suppose you have a piece of cardboard with length 32 inches and width 20 inches and...
Suppose you have a piece of cardboard with length 32 inches and width 20 inches and you want to use it to create a box. You would need to cut a square out of each corner of the cardboard so that you can fold the edges up. But what size square should you cut? Cutting a small square will make a shorter box. Cutting a large square will make a taller box. Since we haven’t determined the size of the...
You're given the type length = In of float | Cm of float. Write an OCaml...
You're given the type length = In of float | Cm of float. Write an OCaml function addlen(x,y) that adds two lengths. If x is in inches, the sum should be in inches; if x is in centimeters, the sum should be in centimeters. (Reminder: 2.54 cm per inch.)
A square wire loop of side length a = 2.0 cm and resistance R = 10.0Ω...
A square wire loop of side length a = 2.0 cm and resistance R = 10.0Ω is inside a 1.00m long solenoid with 1000 windings such that the plane of the loop is perpendicular to the solenoid’s magnetic field. The solenoid initially carries a current I = 6.0 A, which is turned down to zero evenly over a period of 12.0 s. If the solenoid’s initial magnetic field is out of the page in the figure, what is the magnitude...
The drawing shows a square, each side of which has a length of L = 0.250...
The drawing shows a square, each side of which has a length of L = 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -3.00 x 10-9 C placed at corner A and then at corner B.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT