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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
find the value of x for which [1 0] [0 x-8]
A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i
Substitution Rule Mostly integrals are fairly simple and most of the substitutions are quite simple. The problems arise in correctly getting the integral set up for the substi
1. A 3d rotation matrix has 9 (3 by 3) entries, and a 2d rotation matrix has 4 (2 by 2) entries. How many actual degrees of freedom are there in a 3d or 2d rotation? In other words
The order of a differential equation is the huge derivative there in the differential equation. Under the differential equations as listed above in equation (3) is a first order di
How many permutations of the letters A B C D E F G H consist of string DEF? Ans: It is the dilemma of finding number of words that can be formed along with the given 8 lette
Natureland garden center buys lawn mowers that list for $679.95 less a 30% discount. What is the dollar amount of the discount?
Let a = 5200 and b = 1320. (a) If a is the dividend and b is the divisor, determine the quotient q and remainder r. (b) Use the Euclidean Algorithm to find gcd(a; b). (c)
PROVE THAT 2 IS IRRATIONAL
how do you you find 40% if you 35 out of 40
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