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(1) Find the point(s) on the graph of y = 8 ? x2 closest to the point (0, 5).
(2) A Norman Window is to be constructed as shown.
If the perimeter of the window is fixed at 16 feet, find the dimensions x and y that will maximize the area necessary to accommodate the window.
What will be the resulting area?
(3) A right triangle is formed in the first quadrant by the x and y axes and a line through the point (2, 3). Find the vertices of the triangle so that the area is minimum.
block of metal has a width of 3.2 rm cm, a length of 17.1 rm cm, and height of 4.9 cm. Its mass is 1.5 kg. Calculate the density of the metal.
The equation y = 1.13x + 7.85 represents the average monthly cost in dollars for cable television where x represents the number of years after 1980. Use this equation to answer the following questions.
in george eckes lecture on ten questions regarding six sigma he explains that six sigma can be applied to all
Find equation of the tangent plane to the surface 4x2+ 4y2 +3z2=95 at the point (4,-1,3)
a building lot in a city is shaped as 30 degrees -60 degree -90 degrees triangle.the side opposite measures 41 feet. c. Find the sine, cosine, and tangent of the 30 degrees angle in the lot. Write your answers as decimals rounded to four decimal p..
Suppose that for X = net amount won or lost in a lottery game, the expected value is E(X) = -$0.50. What is the correct interpretation of this value?
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 GCF of each pair of monomials - Factor Linear Expressions - Factor each expression. If the expression cannot be factored, write
Similarly, one additional unit will be occupied for each 7 dollar decrease in rent. What rent should the manager charge to maximize revenue?
Three hundred people apply for three jobs. 90 of the applicants are women.
A rancher has 256feet of fencing to close two adjacent rectangular corrals.What dimensions will produce the largest total area? What is the maximum total area?
A trapezoid has base lenghts of 19.5 and 24.5 centimeters with an area of 154 cm squared. What is the height of the trapezoid
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