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A farmer has 700 ft of fence with wich to fence a rectangular plot of land. The plot lies along a river so that only 3 sides need to be fenced. Estimate the largest area that can be fenced.
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
A Norman window is constructed by adjoining a semicircle to the top of a rectangular window. Find the dimensions of the Norman window of maximum area if the total perimeter is 16 feet.
What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines?
Let R ba a partial order on S, and suppose that x is a unique minimal element in S. Prove that S is finite, then xRy for all s in S
Find the Fourier series for the odd extention of the function
Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
a toy rocket is shot into the air at an initial velocity of 10 meters per second from a height of 4 meters The equation giving the height h of the rocket above the ground at time t is h=-49tsquared +10t+4. To the nearest tenth, what is the maximum..
Find the Euler's method to determine the first three approximations to the given initial value problem
If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then its height is a function of time, given by s(t) = -16t squared + 64t.
Between 12:00 Pm and 1:00 PM, Cars arrive at Citibank's drive-thru at the rate of 6 cars per hour. (0.1 car per minute) The following formula from statistics can be used to determine that a car will arrive within t minutes of 12:00 PM.
Find the height at which the light has to be fixed to get its use in maximum area using its perimeter function
Fitting of simple linear regression
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