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Question: 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?
Let B={v1,...,vn} be a basis of a subspace V of Rnx1. Let x be the nonzero vector x=a1v1+...+anvn for scalars ai. Let C={x, v2,...,vn}.
1. the ages of ramonas father brother and son are all prime numbers. in five years from now their agesnbsp will all be
A force of 35lb is required to hold a 72lb toolbox on an incline. What angle does the incline make with the horizontal?
A pebble is shot upward from the top of a building 190 meters tall. If the initial speed is 40 meters per second, how high above the ground will the pebble be after 2 seconds? Round results to the nearest tenth of a meter.
Sandra's scores on the first 4 test were 87%, 92%, 76%, and 89%. What is the minimum score she needs to make an the fifth test so that her average is at least an 80%?
The widths of a cross section of an airplane wing are measured at 1.00-ft intervals, as shown in Fig. Calculate the area of the cross section.
If the area under the curve of f(x) = 25 - x2 from x = -4 to x = 0 is estimated using four approximating rectangles and left endpoints.
what is the magnitude of the average acceleration of the ball during this time interval? (Note: 1 ms = 10-3 s.)
A rectangular gate ABCD of mass 120kg where AB=1m and AD=3m is supported at A & B by pins where B is vertically above A. The reaction force at B is always horizontal.
prove the measure of the exterior angle of a triangle is greater than or equal to the sum of the two measures of the
Two planes are flying directly towards each other. The first plane is traveling at 1,100 kilometers per hour, and the second plane is traveling at 1,300 kilometers per hour. Currently, they are 1,600 kilometers apart. In how long will the planes p..
According to the American Cancer Society, one in twelve women will develop breast cancer at some time in her life. Of the numbers mentioned, which are parameters?
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