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Alonzo drove miles using gallons of gas. At this rate, how many gallons of gas would he need to drive miles?
Approximate f by a taylor polynomial with degree n at the number a, and use taylors inequality to estimate the accuracy of the approximation f(x)=T(x) when x lies in the given interval
Verify Stoke's theorem where S is the surface of the paraboloid 2z=x2 + y bounded by z=2 and C is its boundary.
How is the solution affected if the constraints are changed to y(0) = 0 and y'(0) = 1 ? What is the special about this case?
Let the sum from n=m to infinity of a_n be a formal series of real numbers. If this series is absolutely convergent, then it is also conditionally convergent.
You and six friends play a game where each person writes down his or her name on a scrap of paper, and the names are randomly distributed back to each person. Find the probability that everyone gets back his or her own name.
A spin system consists of spins that have a non-degenerate ground state and an m-fold degenerate excited state with energy ε. The spins are interacting so weakly that they be considered as independent.
A plane flying with a constant speed of 240 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate is the distance from the plane to the radar station increasing a minute later?
A rectangular study plot is to be enclosed by 625 m of fencing. What are the dimensions of the study plot that will have the largest area?
A random sample of 700 NAU students in Flagstaff found 287 NAU students who drink coffee daily. Find a 95% confidence interval for the true percent of NAU students in Flagstaff who drink coffee daily. Express your results to the nearest hundredth ..
Car license plates in California take the form of 1RTY345. If zero cannot be used in the first position and repeats are allowed in the other 6 positions, how many license plates are possible?
A sink can be filled by cold water faucet in 4 minutes. The drain can empty a full sink in 8 minutes. If the sink is empty and both the cold faucet and the drain are open, how long it take the sink to overflow?
A gardener wants to create a rectangular garden with length of 9x - 5y ft. and width of x - 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include..
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