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Show that every member of the family of functions y = (2 ln x + C)/x is a solution of the differential equation x2y' + xy = 2.(Simplify as much as possible.)
so y is a solution of the differential equation.b) Find a solution of the differential equation that satisfies the initial condition y(1) = 3.c) Find a solution of the differential equation that satisfies the initial condition y(3) = 1.
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
The correlation between weekly sales and shelf space.
The group of even permutations of n symbols is denoted by A_n and is called the alternating group of degree n. Show that A_8 contains an element of order 15.
Let f and g be the functions given by f(x) = 1 + sin(2x) and g(x) = e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g.
The Kraft Co. manufactures computer chips at a variable cost of $4 per chip and sells them for $10 each. If the fixed cost is $12,000 per month, what is the number of chips they would need to produce at the break-even point?
Use Mad to compare simple moving & weighted moving average
When Mike throws the frisbee there is a 0.65 probability that Sally gets it, a 0.27 probability that it comes back to Mike, and a 0.08 probability that the dog runs away with the frisbee.
If 82% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will take place?
It takes 16 minutes to set up a candy making machine. Once the machine is set up, it produces 30 candies per minute. Use an inequality to find the number of candies that can be produced in 5 hours if the machine has not yet been set up.
Hypothesis test for population mean
A plane is heading due south with an airspeed of 237 mph. A wind from a direction of 50 degrees is blowing at 12 mph. Find the bearing of the plane.
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
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