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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?
The price of a baseball ticket at Yankee Stadium is 2·1/4 times the original price of a ticket at $60. What is the price of the ticket today
a triangle has sides of lenght 123 cm, 1.4m, and 403 mm. find the perimeter of the triangle in centimeters
In this Show You Know Assignment, you will explore the derivatives of the sine and cosine functions but when the angle is measured in degrees. Will the derivative rules stay the same? If so, why? Will the derivative rules change, if so how and why..
what is the solution of this age problem? A man, 32 years old has a son 8 years of age. In how many years will the man be twice as old as his son?
what is the probability that one of these resistors picked at random will have a resistance of 16 ohms or more?
What are the lower and upper class limits of the first and second classes?
Let h be a differentiable function defined on the interval [0,3], and assume that h(0)=1 h(1)=2 and h(3)=2. a- argue that there exists a point d belong to [0,3] where h(d)=d.
compute the unit normal vector and the curl of F as well as the value of the integral
barney was charged $99 for 3 days and 300 miles, while mary was charged $175 for 5 days and 600 miles. what does best rental charge per day per mile?
A totem pole has representations of n animals arranged in a vertical column.
A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute, the pendulum swings _____ feet.
Calculate the transition matrix of graph and give the graph that corresponds to "hitting the back button" for this graph.
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