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Suppose that 320 feet of fencing material with which to enclose a rectangular field that borders on a straight stream. If the farmer does not enclose the side bordering on the stream, what are the dimensions of the field of maximum area?
a rectangular piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each corner, and the sides are turned up to make a box with an open top. The volume of the box is 616cm cubed. Find the original dimensions of the cardboa..
You are told that a line is tangent to the circle centred at (3,2) with radius 2. If the tangent line and circle intersect at the point (4, 2+ sqrt(3)) find the equation of the tangent.
A cylindrical container 1.7 {rm m} tall contains mercury to a certain depth, d. The rest of the cylinder is filled with water. If the pressure at the bottom of the cylinder is two atmospheres, what is the depth d?
Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins in all did she have?
Two trains leave stations 440 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
a bag of marbles can be shared equally among 3,4,5 students with none left over. What is the least amount of marbles that can be in the bag?
Determine the volume of cement contained in the tank as a function of the depth of the cement.
At a certain factory, approximately q(t) = t^2 + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q^2 + 10q + 400 dollars.
the length of a pool is 22 ft. the width is 40 ft. if the volume of the pool is 2,000 ft3, which equation below could be used to find the depth of the pool?
Where in the real world might be a situation arise where it would be preferable for data to form a relation but not a function? Please explain it to me in detail
Discuss the similarities you found in methods of integration and methods of differentiation with example please
Using ANOVA to test mean difference
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