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A nuclear cooling tower is in the shape of a hyperboloid (that is, a hyperbola rotated around its conjugate axis). The equation of the hyperbola is (x^2/3600)- (y^2/6400)=1. If the center of the tower (the narrowest part) is 70 ft above the ground, what is the diameter (in ft) of the circular base?
Use the Generalized Power Rule to find the derivative of the function.
Two trains leave stations miles apart at the same time and travel toward each other. One train travels at miles per hour while the other travels at miles per hour. How long will it take for the two trains to meet?
Assume that for each type of system below there is at least one variable with a nonzero coefficient. Find the smallest and largest rank possible for the corresponding augmented matrix in each case.
The average molecular velocity v (m/s) of a gas in a certain container is given by the formula below, where T is the temperature in kelvins. The temperature is related to the pressure (in atmospheres) by T = 400P. Find the indicated derivative. v=..
Different ways to schedule appearances of 4 performers. There are 4 performers who will present their comedy this weekend at a comedy club
College officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. How many randomly selected students must be surveyed in order to be 95% confident that the sample percentage has a margin of error of 2 per..
Two masses of 14 kg and 7 kg are connected by a light inextensible string passing over a pulley and the system starts from rest and moves for 3 sec, when the string breaks.Find after what further interval of time the smaller mass comes to its orig..
A rectangular sheet of tin plate is 20 cm by 16 cm and is to be made into an open box with a base having an area of 140 cm2 , by cutting out equal squares from the four corners and then bending the edges upwards. Find the size of the squares cut o..
Estimate the relative error in the calculated surface area.
Multiple choice question from Probability and Set Language and valid probability distribution for a sample space
Determine the QR factorization of A. Use the QR factors in 1) to determine the lease squares solution to Ax=b. Ax=b is the solution related to Rx=Q^Tb
Assume at the begining of the year you purchase an investment for 5,900 that pays 80 annual income. Also assume the investments value has increased to 6,500 by the end of the year.
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