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Question: A certain country's gross domestic product (GDP) (in millions of dollars) is described by the function
G(t) = -2t3 + 45t2 + 20t + 6000 (0 ≤ t ≤ 11)
where t 0 corresponds to the beginning of 2000.
a. At what rate was the GDP changing at the beginning of 2005? At the beginning of 2007 ? At the beginning of 2010 ?
b. What was the average rate of growth of the GDP over the period 2005-2010?
et S(n) = 1 + 2 + . . . n be the sum of the first n natural numbers and let C(n) = 1³ + 2³ + . . . n³ be the sum of the first n cubes - Prove the following equalities by induction on n, to arrive at the curious conclusion C(n) = S²(n) for every n. ..
A prcel of land is 6ft onger than it is wide. Each diagonal from one corner to the opposite corner is 174 ft long. What are the dimensions of the parcel?
The practice court at the park is a rectangle. its width is exactly twice its length. the area of the practice field is 450 ft. what are the length and width of the rectangle?
Determine the probability without replacement
Meyerhof method to calculate the ultimate bearing capacity - Use the Meyerhof method to calculate the ultimate bearing capacity of the raft foundation and the allowable bearing capacity
Find the probabillity that a sweater has a flaw. Round to nearest tenth of a % Suppose the company produces 600 sweaters/day. How many WILL have flaws?
a ladder leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. if the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall,
Find the weighted mean for three exams if the first one was worth 75 points and the student received a score of 70%, the second was worth 50 points and the student received a score of 80% and the third was worth 30 points and the student received a s..
Determine the margin of error for a 98% confidence interval to estimate the population proportion with a sample proportion equal to 0.90 n=125, n=200.
Graph equation with a diameter that has endpoints at (-3, 4) and (5, -2). Label center and at least four points on the circle. Write the equation of the circle.
Suppose that V and W are vector subspaces of Rn. If I define: How can I prove that V+W is also a vector subspace of Rn and ALSO how could verify that (for example)
Prove Liouvilles theorem, - Draw a great big circle radius R, center w, and write down an integral formula for f'(w). Now try to estimate the modulus of this integral and study
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