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1) A short airplane trip between two cities took 30 minutes when traveling with the wind. The return trip took 45 minutes when traveling against the wind. If the speed of the plane with no wind is 320 mph, find the speed of the wind and the distance between the two cities (hint: pay attention to units).
2) One morning, Justin drove 3 hours before stopping to eat lunch. After lunch, he increased his speed by 10 mph. If he completed a 450-mile trip in 8 hours of driving time, how fast (in miles per hour) did he drive in the morning?
3) A high-speed train makes a 320 mile nonstop run between two major cities in 512 hours. The train travels 80 mph in the country, but safety regulations require that it travel only 20 mph when passing through smaller, intermediate cities. How many hours are spent traveling through the smaller cities?
Question about Elliptic boundary value problem, Uxx means second derivative with respect to x, Uyy means second derivative with respect to y
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
The edge of a cube was found to be 40 cm with a possible error of 0.3 cm. Use differentials to estimate the maximum possible error in the calculated volume of the cube.
Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
Evaluate the relative growth rate and Assume the relative growth rate is a linear function of population at time t by using the formula
The circumference of a sphere was measured to be 90000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Does the sample data provide evidence to conclude that less than 28% of B&B's customers are women (using a = .01)? Use the hypothesis testing procedure outlined below.
Mayall Corporation is developing standards for its products. Each unit of output of the product requires 0.92 kilogram of a particular input. The allowance for waste and spoilage is 0.02 kilogram of this input for each unit of output.
A force of 623 lb is required to pull a boat up a ramp inclined at 22.0 degrees with the horizontal. How much does the boat weight?
A researcher wants to determine if teenage drivers of red automobiles are more likely to run a red light than automobiles of any other color. She stands at a busy intersection and records the colors of automobiles which run red lights.
Let d: N → N, where d(n) is the number of the natural number divisors of n. This is the number of the divisors function, which was introduced in the previous problem set. Is d an injection? Is d a surjection
Let U = {60 Minutes, American Idol-Tues., American Idol-Wed., CSI, CSI: Miami, Desperate Housewives, Friends, Grey's Anatomy, Law & Order, The Apprentice}. Construct a Venn diagram illustrating the sets.
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