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The temperature u in a star of conductivity 2 is inversely proportional to the distance from the center: u=(2/sqrt(x^2+y^2+z^2)). If the star is a sphere of radius 1, find the rate of heat flow outward across the surface of the star.
A fabric wall hanging is to fill a space that measures 12 ft by 10 ft. Allowing for 3 in. of the fabric to be folded back along each edge, how much fabric must be purchased for the wall hanging? Round to the nearest whole number.
Calculate the change in the odds of CHD in males for each additional time they exercise on average each week.
Convex Sets and Linear Transformations, Prove that the following sets are convex, where E stands for the sum symbol:
Find the area of the shaded region. The hexagon is regular. Round to the nearest hundredth.
Determine whether the following statement is true or false, and justify your answer: If the RMS error for predicting Y from X is equal to 1, then the correlation between Y and X is equal to 0.
Determine the domain and range of the variables and how your solutions for a and b be modified if y=ax²+bx+c is a revenue function
Assume f : R -> R is differentiable and there exists an L
Show that this theorem 1 is sharp, that is, show that for infinitely many n>=3 there are non-hamiltonian graphs G of order n such that degu+degv>=n-1 for all distinct nonadjacent u and v.
Objective questions on regression
Earthquake A had a magnitude of 8.4 on the Richter scale. At the same time an earthquake B with magnitude 4.6 caused only minor damage. How many times more intense was earthquake A than earthquake B? (Round your answer to two decimal places.)
Simon does not complete his homework, Both Simon and Hannah complete their homework
Suppose you have 3 nickels, 2 dimes, and 6 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
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