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Consider the region bounded above by the graph of f(x) = 4/√x and below by the x-axis for 1 ≤ x ≤ 9.
(a) Sketch a graph of this region.
(b) Find the average value of f on this interval.
(c) Find the x-value c, guaranteed by the Mean Value Theorem for Intergrals, at which the area under the graph is equal to the area of a rectangle on [1, 9], i.e.: a∫b f(x)dx = f(c)(b - a).
Find the constants. Find the center of mass of the solid bounded below by the cone z2 = x2 + y2 and above by the sphere x2 + y2 + z2 = 2az and whose density is kz.
What is the product rule when taking the derivative of a function that requires using product rule
Mr. Rich invested $14,000, part at 8% and the rest at 6%. If the annual incomes from both investments were equal, find the amount he invested at each rate.
Can you give two other ways of representing a discrete probability distribution? Or Can a pair of events be both mutually exclusive and independent? Description of Mutually exclusive events
Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 7 + 2x2 + 2y2 and the plane z = 13 in the first octant.
What effective interest rate is being charged on the instalment plan?
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi and in June it cost her $460 to drive 800 mi.
You decide to enroll in a plan that gives you a 10% discount if you make telephone calls 7pm - 6am. The per minute charge is $0.10 and the sales tax is 6%. On the first month's bill you used the phone for 130 minutes 6am - 7pm and then 400 minutes..
Proficient - Provides an introduction that describes the purpose of the paper and the importance of statistics. Minor details are missing.Basic - Provides a limited introduction that partially describes the purpose of the paper and the importance ..
if a manufacturer has fixed costs of 400 a cost per item for production of 30 and expects to sell at least 100
From the top of a 235 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
You withdraw $10 from a bank account once a week for four weeks. What integer Expresses the change in value?
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