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The accompanying figure depicts a racetrack with ends that are semicircular in shape. The length of the track is 880 ft (1/6 mi).
Find I and r such that the area of the rectangular region of the racetrack is as large as possible.
What is the area enclosed by the track in this case?
Describe how the graph is misleading. Explain how you would redraw the graph so that it depicts the information correctly.
If f is continuous on [0,1] and if (integral from zero to one of (f(x) x^n)dx)) =0 for n in the Naturals, prove that f(x)=0 on [0,1]/ Hint: The integral of the product of f with any polynomial is zero. Use the Weierstrass approximation theorem to ..
A rectangle is formed from a square by adding 6 m to one side and 3 m to the other side. The area of the rectangle is 238 m squared. Find the dimensions of the original square.
The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2pi radians = 1 revolution
A researcher wanted to determine if the average size of farms in two counties in Pennsylvania were different. He samples 8 farms in Indiana County and determines the average size of a farm is 191 acres with a standard deviation of 38 acres.
shown below is summarized data for a company for the year end december 31.sales of merchandise for
Let A and B be subsets of a universal set U and suppose n(U) = 360, n(A) = 140, n(B) = 70, and n(A B) = 40. Find the number of elements in the set.
find the margin of error for the given values of c s and n, and c=0.95, s=2.9,n=49
Find an equation of the circle that has center C (5, -3) and is tangent to the line y = 3. (give your answer in standard notation.
the average length l and width w of bird eggs are bird 1 -l8.6 w5.8 bird 2 - l1.9 w1.5 bird 3 - l3.1 w2.3 bird 4 - l1
A rectangular field whose length is 10 meters longer than its width is to be enclosed with exactly 100 meters of fencing material. What are the dimensions of the field?
At a certain factory, approximately q(t) = t^2 + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q^2 + 10q + 400 dollars.
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