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Caffeine is metabolized and excreted at a continuous rate of about 17% per hour. A person with no caffeine in the body starts drinking coffee, containing 130 mg of caffeine per cup, at 7am. The person drinks coffee continuously all day at the rate of one cup an hour. Write a differential equation for A, the amount of caffeine in the body t hours after 7am and give the particular solution to this differential equation. How much caffeine is in the person's body at 5pm?
Calculate the value of the test statistic with the information given above.
Find coordinate of centroid using multiple integral method -Determine the z-coordinate of the centroid of G.
A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters. Express the circumference C of this circle as a function of t.
Find the tangential and normal components of the position vector p(t) =
How many cubic inches of air can a fully inflated basketball hold if its radius is 4.5 inches? Give solution accurate to the nearest hundredth. Include correct units with your solution.
Describe at least five specific problem-solving strategies that these students can use to solve mathematics problems. For each strategy, give an example.
Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin. Determine the volume of the solid of revolution formed when R is revolved about the y-axis.
Consider the following linear mapping from C[-pi,pi] into itself: L(f)=integral from -pi to pi of G(x),h(y),f(y)dy for any function f(x) in C[-pi,pi].
Probability - birthday, What is the probability that at least 2 of the 435 members of the House of Representatives have the same birthday
Find three positive numbers whose sum is 54 and whose product is as large as possible and find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.
World grain demand. Freeport McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand.
Probability density function sample question, Let E be the event that the number which comes up when a single die is tossed is divisible by 3. Let X be the number of times that event E occurs in 3 tosses of the die
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