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A rectangular field is to be fenced along two sides and two ends. It is also required to have three additional cross fences from side to side in order to form four plots as illustrated below.
Let w = width
Find the length of the field, to the nearest tenth, that will give the entire field a maximum area if 414 m of fencing is available.
if the population of newport grows at a rate of 5% per year, how long will it take to double in size? use dy/dt=ky
Evaluate the function for the values of x given as 1,2,4,8,16. Describe the differences in the rate at which each function changes with the increasing values of x.
George has decided that a distribution of data is cubic, that is it has the general form of a function "f(x)=x^3" if the point on the curve that should be at (0,0) is found at (-3,7) and the point.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
If one gallon of paint has a volume of approximately 4000 cm3, what is the maximum number of whole gallons of paint that can be poured into the bucket?
Identification of the Slope, y-intercept, and x-intercept of the given equation.
What is the optimal decision? Ken believes that the $300,000 figure for the Sub 100 with a favorable market is too high. How much lower would this figure have to be for Ken to change his decision made in part (b)?
How can you represent a pedigree for a mixed breed of dog (a Schnoodle, for example) using set theory? Create (describe) a Venn diagram and a numeric sentence to describe the set.
The plane y + z = 3 intersects the cylinder x^2 + y^2 = 5 in an ellipse. Find the parametric equations for the tangent line to this ellipse at the point (1,2,1)
Use Equation Editor to write mathematical expressions and equations when completing Appendix E.
The cost C to produce x number of tennis rackets is The tennis rackets are sold wholesale for each, so revenue R is given by Find how many tennis rackets the manufacturer needs to produce and sell to break even.
The normal body temperature measured by placing the thermometer under the tongue is assumed to be normally distributed with a standard deviation of 0.7oC. Body temperatures of 52 subjects were recorded and the average is 36.83oC.
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