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1. Use differentiation to approximate the maximum error in using 5 cm as the radius of a sphere to calculate its volume if the measurement is off by at most 8 mm. Find the approximation of both the relative and percentage error for the volume.
2. Suppose that fluid is leaking from an overhead pipe and spreading in the shape of a circle on the ground. If the radius of the circle is increasing at a rate of 0.5 feet per minute, how fast is the area of the circle increasing when the radius is 4 feet?
a particle moves on the x- axis so that its accleration at any time t > 0 is given by a=(t/8)-(1/t^2). when t=1, v= 9/16 ft/sec, and s=25/49 ft.
A homeowner wants to enclose a 5,300 square foot rectangular garden by a fence in his backyard. If 3 sides of the fence cost $8.25 per foot and the 4th side costs $11.25 per foot,
Discuss the overall trend from 1896 to 2008, with specific references to significant fluctuations and what modifications, if any, need to be made to your model to fit the new data?
Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.75, and in January 2006, the price of regular unleaded gasoline was $2.57.
Determine the amount of additional financing needed for 2009 under each of the following conditions:
Determine the population mean
Law of sines.
task 1 lewis carroll the author of alice in wonderland liked to ask his friends to solve this puzzletake a square of 13
A balloon rises vertically after it is released and is tracked by an observer 50 feet from the point of release. At a certain moment the angle between the balloon and the foot of the observer is and is changing at a rate of 2 rad/min. At what rate..
In the figure in below AB and CD are perpendicular to BC and the size of angle ACB is 31 degrees. Find the length of segment BD.
What percentage of the people who will improve their credit records within the next three years are the ones who currently who have good credit ratings?
Find the reference angle for the given angle.
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