Q: A cone-shaped drinking cup is made from a circular piece
A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup.
See AnswerQ: A cone-shaped paper drinking cup is to be made to
A cone-shaped paper drinking cup is to be made to hold 27 cm3 of water. Find the height and radius of the cup that will use the smallest amount of paper.
See AnswerQ: A cone with height h is inscribed in a larger cone with
A cone with height h is inscribed in a larger cone with height H so that its vertex is at the center of the base of the larger cone. Show that the inner cone has maximum volume when h = 1/3 H.
See AnswerQ: Differentiate the function. F(t) = (ln
Differentiate the function. F(t) = (ln t)2 sin t
See AnswerQ: A boat leaves a dock at 2:00 pm and travels
A boat leaves a dock at 2:00 pm and travels due south at a speed of 20 km/h. Another boat has been heading due east at 15 km/h and reaches the same dock at 3:00 pm. At what time were the two boats clo...
See AnswerQ: Solve the problem in Example 4 if the river is 5 km
Solve the problem in Example 4 if the river is 5 km wide and point B is only 5 km downstream from A. Example 4: A man launches his boat from point A on a bank of a straight river, 3 km wide, and want...
See AnswerQ: A woman at a point A on the shore of a circular
A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time (see the figur...
See AnswerQ: An oil refinery is located on the north bank of a straight
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 6 km east...
See AnswerQ: Suppose the refinery in Exercise 51 is located 1 km north of
Suppose the refinery in Exercise 51 is located 1 km north of the river. Where should P be located? Exercise 51: An oil refinery is located on the north bank of a straight river that is 2 km wide. A p...
See AnswerQ: The illumination of an object by a light source is directly proportional
The illumination of an object by a light source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. If two light sources, o...
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