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The center of a national park is located at (0,0). A special nature preserve is bounded by by straight lines connecting the points A at (3,2), B at (5,1), C at (8,4) and D at (6,5) in a parallelogram. The yearly rainfall at each point is given by RF(x,y) =x2-xy+y2 in inches. Transform this into a rectangle in v - r space using the Jacobian theory we studied and determine the following.
1. Find the average rainfall per year for the entire region.
2. Suppose that we desire to constract a weather station at a point in order to report a number on a regular basis that might represent the average rainfall for the entire preserve. Assuming we pick the center of "mass" of the rainfall density function for this point, find the location of the weather station in the (x,y) system
A lobster catcher spends $12 500 per month to maintain a lobster boat. He plans to catch an average of 20 days per month during lobster season. For each day, he must allow approx
Interval of Convergence After that secondly, the interval of all x's, involving the endpoints if need be, for which the power series converges is termed as the interval of conv
Sketch the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Find out how the solutions behave as t → ∞ and
Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fi xes everything. Prov
Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x 1 + 2X 2 Subject to the constraints: X 1 + X 2 ≤ 4
A Stone is dropped from the top of the tower and travel 24.5 m in last second of its journey. the height of the tower is ...?
George worked from 7:00 A.M. to 3:30 P.M. with a 45-minute break. If George earns $10.50 per hour and does not obtain paid for his breaks, how much will he earn? (Round to the near
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Variance Square of the standard deviation is termed as variance. The semi inter-quartile range - It is a measure of dispersion which includes the use of quartile. A q
solve for y 3x+4y=7
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