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Architecture. An architect is designing the floors for a hotel. Each floor is to be rectangular and is allotted 720 ft of security piping around walls outside the rooms. What dimensions of the atrium will allow an atrium at the bottom to have maximum area?
Kiran drove from Tortula to Cactus, a distance of 288 mi. She increased her speed by 8 mi/h for the 392 mi trip from Cactus to Dry Junction. If the total trip took 13 h, what was her speed from Tortula to Cactus?
Find the level of production for each sector in order to satisfy the demand for $100 million worth of food, $40 million worth of clothing, and $250 million worth of shelter. (Round your answer to the nearest whole number.)
A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
The region bound by the circle (x-a)^2 + y^2 = a^2 is revolved around about the y-axis to generate a solid
Suppose Frank owns 2000 shares of company X and 1000 shares of company Y. The total value of Franks holding for these 2 companies is $680,000 please write an equation for Bobs and franks holdings. Usa Variable X and Y to represent the values of sh..
How many bit strings of length n are palindromes? Hint: Consider two cases n is even and n is odd. Note a palindrome is a "string" of letters or numbers which read the same frontwards and backwards.
A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. if 35 students are randomly selected, find the probability that the mean of their test scores will be greater than 76.
What is meant by the term completing the square and where does the name completing the square come from?
With the definition that pi is the area of the unit circle, explain why pi equals 8 times the integral from 0 to 1/sqrt(2) of (sqrt(1 - x^2) - x) dx. use the Romberg algorithm to approximate the integral.
F(x,y,z)= S is the hemisphere x^2 + y^2 + z^2=9, z is greater than or equal to 0, oriented upward. Use Stoke theorem to evaluate double integral curl F *dS
Find the ending balance in an account that opens with $6,610, earns 10.5% interest compounded monthly, and is held for 5 years. (Round your answer to the nearest cent.)
let f be the function defined by f(x) = 12x^(2/3) - 4x. a) find the intervals on which f is increasing. b) Find the x and y coordinates of all relative maximum points.
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