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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).
Find the equation of the line and you can write your answer in the following form: p = mx + b. Normally in this class, you would probably use the "y = mx + b" format. You are basically substituting the variable "y" with "p"
question the angle bisector drawn to one side of a triangle divides the median drawn to a second side into segments
Real mean difference in interval
At one place in a text book, the procuct of the page numbers on facing pages is 930. What are the page numbers?
Two trains leave stations 312 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 55 miles per hour. How long will it take for the two trains to meet?
The excursion boat Holiday travels 35 km upstream and then back again in 4 hours and 48 minutes. The speed of the Holiday in still water is 15 km/h, what is the speed of the current.
A lighthouse is fixed 160 feet from a straight shoreline. A spotlight revolves at a rate of 17 revolutions per minute, (34 rad/min ), shining a spot along the shoreline as it spins. At what rate is the spot moving when it is along the shoreline 16..
How much should he invest in each to maximize his return? Assume the investment returns are as expected.
What are steps in derivation of formula for mass as fundamental quantity unit
There are three methods to solving Linear Systems with two Equations. They are the Graph method, the Elimination method, and the Substitution method.
The lowest flying speed v (in ft/s) at which a certain airplane can fly varies directly as the square root of the wing load w (in lb per sq. ft). If V=88 ft/s when w= 16 lb/sq ft, find the derivative of v with respect to w.
The length of the transverse axis is 8, and the length of the blue line segment is 7. How long is the red line segment?
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