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1. Solve the initial value problem y' = 2y + 3, y(0) = 2.
2. The population p(t) of the South American Agouti satisfies the population law dp/dt = 0. 05p - 450, where the factor 0.05 reflects the birth rate and the -450 is a dt constant harvest rate due to natural predators such as the jaguar and ocelot. Find all solutions to this problem.
derive the normal equation for fitting the trigonometric curve, p(x) = ao + a1 cos(x) +b1 sin(x)
The burial cloth of an Egyptian mummy is estimated to contain 59% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon-14 is 5730 years.)
the cost c of an airplane ticket varies directly as the number of miles m in a trip. a 300 mile trip costs 400. what
how many servings of each food are required to satisfy the physicians requirements?
The standard deviation is 5 minutes. If a randomly selected freshman takes the exam,?nd the probability that he or she takes more than 32 minutes to complete the test.
The monthly charge for a waste collection service is 1280 dollars for 100 kg of waste and 2240 dollars for 180 kg of waste. Find a linear model for the cost, , of waste collection as a function of the number of kilograms, w.
One of the best candidates for a black hole is found in the binary system called A0620-0090. The two objects in the binary system are an orange star, V616 Monocerotis, and a compact object believed to be a black hole.
Find the equation of parabola from the given data - Determine the equation of a parabola with vertex
A. A restaurant has found that about 20% of the diners with reservations do not show up. Suppose that 12 reservations parties are made. a) Write the binomial probability function for this experiment.
Find the area of the region bounded by 2 curves.
A cereal box is in the shape of a rectangular solid. The box is 10 inches long, 4 inches wide, and 15 inches. If cardboard costs $.0005 per square inches, find the cost of the cardboard to the nearest cent.
Describe the shape of the histogram. The probability that there are five first-shift workers. The probability that there are four second-shift workers.
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