Mathematics, 15.04.2020 22:47 ashleydenson1517
A box with a square base and open top must have a volume of 442368 cm3. We wish to find the dimensions of the box that minimize the amount of material used.
First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base.
[Hint: use the volume formula to express the height of the box in terms of x.]
Simplify your formula as much as possible.
A(x)=
Next, find the derivative, A'(x).
A'(x)=
Now, calculate when the derivative equals zero, that is, when A'(x)=0. [Hint: multiply both sides by x2.]
A'(x)=0 when x=
We next have to make sure that this value of x gives a minimum value for the surface area. Let's use the second derivative test. Find A"(x).
A"(x)=
Evaluate A"(x) at the x-value you gave above.
Answers: 1
Mathematics, 21.06.2019 16:30
An airport in death valley is 60 feet below sea level, and an airplane is flying 2,000 feet above sea level. how many feet must the plane descend in order to land? a. 2060 b. 2000 feet c. 1940 feet d. 1880 feet e.1400 feet will mark as brainliest
Answers: 2
Mathematics, 21.06.2019 19:00
1. which of the following algebraic equations is equivalent to ? x^n = a a^n = x a^x = n x^a = n 2. 16^1/4= 1/2 2 4 3. (-36)^1/2= -6 1/6 no real number 4. 8^2/3= 4 8 16β2 )^5/2= 7,776 1/7,776 no real number 6. m ^ the square root of a^2m simplified is: 7. the square root of 3^3 times the square root of 2 simplified and in radical form is:
Answers: 2
Mathematics, 21.06.2019 20:00
Mario has $14.35 left in his wallet. he spent $148.43 for tablecloths. then, he spent $92.05 for napkins. how much money did mario have in his wallet to start with?
Answers: 2
Mathematics, 21.06.2019 20:50
Determine the common ratio and find the next three terms of the geometric sequence. 649-14-02-00-00_files/i0100000, 649-14-02-00-00_files/i0100001, 2, a. 3; 649-14-02-00-00_files/i0100002, 649-14-02-00-00_files/i0100003, 649-14-02-00-00_files/i0100004. c. 649-14-02-00-00_files/i0100005; 649-14-02-00-00_files/i0100006, 649-14-02-00-00_files/i0100007, 649-14-02-00-00_files/i0100008. b. 3; 6, 18, 54 d. 649-14-02-00-00_files/i0100009. 6, 18, 54 select the best answer from the choices provided a b c d
Answers: 1
A box with a square base and open top must have a volume of 442368 cm3. We wish to find the dimensio...
Biology, 08.04.2020 21:38
History, 08.04.2020 21:38
Computers and Technology, 08.04.2020 21:38
Mathematics, 08.04.2020 21:38
History, 08.04.2020 21:38
Mathematics, 08.04.2020 21:38
Physics, 08.04.2020 21:38
Mathematics, 08.04.2020 21:38
Physics, 08.04.2020 21:39
History, 08.04.2020 21:39
Chemistry, 08.04.2020 21:39