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A Norman window consists of a rectangle surmounted by a semicircle. What shape gives the most light for a given perimeter?
A bag contains 4 red, 3 white, and 5 blue marbles. How many samples of 4 marbles can be drawn in which two marbles are red and 2 marbles are blue?
The median age at first marriage for females increased from 24.5 years in 1995 to 25.1 years in 2000 (U.S. Census Bureau, www.census.gov). Let 1995 be year 5 and 2000 be year 10.
Use the definition of the derivative to find f '(x) given Write an equation of the line tangent to the curve at the point P(-1, 7). Express the answer in the form ax + by = c.
A baseball manager has decided who his 5 starting hitters are to be, but not the order in which they will bat. How many possibilities are there?
Test BMI difference for all twin pairs
At a price of $1.90 per bushel, the annual U.S. supply and demand for barley are 410 million bushels and 455 million bushels, respectively. When the price rises to $2.70 per bushel
Probability : Selection Without Replacement and Stirling's Formula, A box contains 3n red balls and 3n white balls. 2n balls are selected at random without replacement, express the probability p
Using the window setting to make a graph.
Suppose that a tank initially contains 2000 gal of water and the rate of change of its volume after the tank drains for t min is '(t)=(0.5)t)-30 (in gallons per minute).
Increasing and decreasing intervals.
If G acts on X, pi1(X) = {e}, and for all x elements of X there exists Ux neighborhood of X such that Ux intersection g(Ux) = empty set for all g elements of G{e}, then pi1(XG) is homeomorphic to G.
Please explain how to find the equations of the tangent line and the normal line to the graph of the equation at the indicated point and achieve the specified answer.
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