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1. Some bacteria can sense the "nutritional gradient" and will move in the direction of higher concentration of nutrients. Imagine that such a bacteria is placed at the point P(10, 10) in a dish in which the nutrition concentration is given by by N(x, y) =400 - 2x2-y2. Sketch the path of the bacteria as it swims towards higher concentrations.
2. The temperature field in the neighborhood of (π / 4, 0) is given by T(x, y) = square root 2 e-y cos (x). Find the path followed by a heat seeking particle originating at (π / 4, 0).
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.
translate each of the following sentences into first-order logic a malone does not read every book that is recommended
Discuss the overall trend from 1896 to 2008, with specific references to significant fluctuations and what modifications, if any, need to be made to your model to fit the new data?
A poster is to have an area of 150 in2 with 1 inch margins at the bottom and sides and a 5 inch margin at the top. What dimensions will give the largest printed area?
A rocket is launched from atop a 95-foot cliff with an initial velocity of 119 ft/s.
Find the angle between the diagonal of a cube of side length 19 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians.
find the statistic that measures the width of dispersion (looseness or tightness) of the population data about its mean .
Use implicit differentiation to find an equation of the tangent line to the hyperbola at the point (6, 8)?
Find the volume of the solid bounded above by z=x^2 and abounded below by the region enclosed by y=2-x^2 and y=x. Find the volume of the solid in the first octant bounded by the coordinate planes z=4-y^2 and the plane x=3. Find the volume of the wedg..
The population in City A is 3 1/2 times the population of City B. The population of City B is 1,600,000. What is the population of CityA?
what is the value of a stock that is expected to pay a constant dividend of 4 per year if the required return is 15?
Suppose an object is dropped from a height feet above the ground. Then its height, in feet, after seconds is given by . If a ball is dropped from 208 feet above the ground, how long does it take to reach ground level?
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