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The radius of a circular disk is given as 19 cm with a maximum error in measurement of 0.2 cm.
(a) Use differentials to estimate the maximum error in the calculated area of the disk.
Find the distance between two ships from the word problem and From a lighthouse, the lighthouse keeper sees two ships
Let x represent the length of each parallel side used to make the 4 pens and y be the length of the other 2 sides. Find the values of x and y needed to obtain the largest possible area of the 4 pens.
Bruce needs 30 five-foot pieces of rope for a school project. The hardware store sells rope by the yard. How many yards of rope will Bruce need to purchase?
Find the equation(s) of the vertical asymptote(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Yankee found and ate three more than one half of the remaining biscuits. finally, murray ate three more than one half of the remaining biscuits. how many dog biscuits were in the box originally?
A triangle has three angles, R, S, and T. Angle T is 40° greater than angle S. Angle R is 8 times angle S. What is the measure of each angle?
A cylindrical drill with radius 2 is used to bore a hole throught the center of a sphere of radius 7. Find the volume of the ring shaped solid that remains using polar coordinates.
Find the maximum volume of a rectangular box with square ends that satisfies the delivery company's requirements.
If 8.5 by 11 paper is available to make a box with a square base and an open top, find the largest possible volume of the box.
On August 24, 1894, Pop Shriver of the Chicago White Stockings caught a baseball dropped (by Clark Griffith) from the top of the Washington Monument. The Washington Monument is 555 ft tall and a baseball weighs 5 1/8 oz.
The area of a trapezoid is 780 cm. The shorter base is 48 cm and the height is 15 cm. Find the length of the other base.
A nutrition laboratory tests 50 "reduced sodium" hot dogs, finding that the mean sodium content is 316 mg, with a standard deviation of 35 mg.
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