Use a graphing utility to graph V(x) = x(12- 2x)2, which expresses the volume of a box, V, as a function of the length of the side of the square cut from each corner, x, of a sheet of square cardboard with a side length of 12 inches. Then use the trace button or maximum function feature to find the length of the side of the square that should be cut from each corner of the cardboard to create a box with the greatest possible volume. What is the maximum volume of the open box?
a. What is the length of the side of the square that should be cut from each corner of the cardboard to create a box with the greatest possible volume?
(Round to the nearest inch as needed.)
b. What is the maximum volume of the open box?
_ in3 (round to nearest inch)
In: Advanced Math
Consider the following differential equation to be solved by the method of undetermined coefficients.
y'' + 6y = −294x2e6x
Find the complementary function for the differential equation.
yc(x) =
Find the particular solution for the differential equation.
yp(x) =
Find the general solution for the differential equation.
y(x) =
In: Advanced Math
Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. If it is assumed that the rate at which the virus spreads is proportional not only to the number x of infected students but also to the number of students not infected, and assume that no one leaves the campus throughout the duration of the disease, determine the number of infected students after 6 days if it is further observed that after 4 days x(4) = 50.
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How do you show that the function "f(x) = {[x-1;x<2], [2x-3;x>=2]}" is not differentiable at "x=2”?
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Give details Explaination.
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what are methods used to measure ingredients and their units of measure?
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In: Advanced Math