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Train A leaves a station traveling at 64 kilometers per hour. Two hours later, train B leaves the same station traveling in the same direction at 84 kilometers per hour. How long does it take train B to catch up to train A?
A box with no top is to be built by taking a 6'' - by - 10'' sheet of cardboard and cutting x - in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.
An executive invests $24,000, some at 8% and some at 6% annual interest. If he receives an annual return of $1,800, how much is invested at each rate?
At noon, ship A is 60 km west of ship B. Ship A is sailing south at 15 km/h and ship B is sailing north at 5 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)
What step should one take to avoid lengthy computations of binomial probabilities? When is this option not available?
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. THe function A = 27x - x^2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maxmimum area? Round to the nea..
The circumference of a sphere was measured to be 70.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided.
A satellite dish, is the shape of a parabola. Signals coming from a satellite strike the surface of the dish and are reflected to the focus where the receiver is located.
Write your suggestions to help a fellow student succeed in this course using short sentences, and arrange them in decreasing order from greatest to least important.
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
Define a new metric d on X = (0, 1/2)^2 by d((a,b), (r,s)) = 1 if a is not equal to r Or |b - s| if a = r.
Describe all terms used as well as listing the steps and Show how the Pythagorean theorem helps to find distances in 2 and 3 dimensions.
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