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a carpenter is building a rectangular room with a fixed perimiter of 300 ft. What dimensions would yield the maximum area? what is the maximum area?
Let f (x,x',x"). Be a function of independent variables x, its first derivative x', and its second derivative xo. Write down an Euler-Lagrange expression for this function.
Determine the circumference of a circle circumscribed about a square, an equilateral triangle, a regular hexagon, a right triangle
Find a vector a with representation given by the directed line segment AB. Draw AB and the equivalent representation starting at the origin.
If 36000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 2¢/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number.) (Hint: To find the value of p w..
At noon, ship A is 60 km west of ship B. Ship A is sailing south at 15 km/h and ship B is sailing north at 5 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)
Probability that a Randomly Selected American Lives in WA. Essay. According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
If the outside of a picture frame measures 9 in by 15 in. of the picture shows. Find the thickness of the frame?
Use the rational root theorem to list all possible rational roots of the polynomial equation. (Enter your answers as a comma-separated list.)
Consider a bivariate normal population with u1=0,u2=2,σ11=2,σ22=1,and p12=.5, write out the bivariate normal density.
Assume that the average annual salary for a worker in the United States is $28,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following
Define an imaginary number in your own words and explain the difference between an imaginary number and a complex number. (minimum 50 words).
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
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