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3. Let C be the curve with parametrization r(t) = cos t, sin t, 2√3t/Π and let S be the sphere of redius 2, centered at the origin.
(a) The curve, C, intersects the surface, S, in two points. Find the coordinates of these points.
(b) Find the arclength of the segment of the curve C that lies within the sphere S.
Write an excel document that calculates the medication levels in the bloodstream for the first two weeks of taking this medication
A wire L = 16 cm long is cut into two pieces, one of length x and the other of length (L - x), Each piece is bent into the shape of a square.
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Use truth tables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so. Use truth tables to prove that an implication may not be equivalent to its converse. Site an example where this is so.
The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, how will the standard error change?
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The manufacturer of a television set costing 1000, offers a guarantee to repair or replace the set for free for the first year. Find the expected amount that the insurer will pay.
The loan requires a 10% down payment and 36 equal payments of $205.00. According to this information, what would be the finance charge on the loan? Show all work.
A fitness ball id delivered in a flat package with a hand pump. The pump inflates the ball at 280cmcubed per pump, to a diameter of 28cm. How many pumps are needed to inflate the ball? Explain how you got your answer.
The half-life of radioactive radium is 1620 years. Suppose that a sample of this substance has 300 mg. Determine the time T it will take for the sample to decay to a mass of 200 mg.
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