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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
simplify mn+mp+nq+pq /n+p
In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s:
Consider the following proposal to deskew a skewed bitstream from a TRNG. Consider the bitstream to be a sequence of groups ot n bits for some n > 2. Take the first n bits, and o
For a population with a mean of μ=80 and a standard deviation of o=12, find the z-score corresponding to each of the following samples. a. M=83 for a sample of n=4 scores b.
Doing the following exercise will give you and opportunity to think about this aspect of children. E1) List some illustrations of exploration by four or five-year-olds that you
Find the equation for each of the two planes that just touch the sphere (x - 1) 2 + (y - 4) 2 + (z - 2)2 = 36 and are parallel to the yz-plane. And give the points on the sphere
To find out the perimeter of a triangular region, what formula would you use? The perimeter of a triangle is length of surface a plus length of side b plus length of side c.
Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0 y (3) = 6 y′ (3) = -1 We can wri
The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of the other two vertices.
in a garden 1/8 of the flowers are tulips. 1/4 of the tulips are rd. what fraction of the flowers in the garden are red tulips
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