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Ron has 900 meters of fence and wants to enclose a rectangular region that contain four congruent rectangular pens within it. Ron will use all 900 meters of fence to create one large rectangle and four congruent rectangular pens within the larger rectangle. What will be the largest dimensions of the rectangle so as to enclose the largest possible area?
a) Include appropriate labels and identify themb) Indicate the meaning of any variables in 'a', include domain restrictions if any.c) create a one-variable function, A, for the area of the entire region.d) apply knowledge to determine the dimensions of the region and the maximum area can enclose under these restrictions. Show all steps and justification
A spherical balloon is inflated with gas at the rate of 32 cubic feet per minute. How fast is the radius of the balloon increasing at the instant the radius is 2 feet?
An orchard contains 60 peach trees with each tree yielding an average of 57 peaches. For each 5 additional trees planted, the average yield per tree decreases by 3 peaches. How many trees should be planted to maximize the total yield of the orchar..
calculate area of a square a square picture is mounted in a frame 1 cm wide. the area of the picture is 2/3 of the total area. find the length of a side of the picture.
find the intervals on which f(x) is increasing and decreasing and find the x- and y- coordinates of all the local extrema
You have been given information that if a student is a resident and they enroll for more than 12 hours, then their tuition will equal $120 plus $10 per hour for every hour greater than 12.
The bus averaged 40 mph on the drive from Columbus to Athens but averaged 60 mph during the return trip. What was the average speed of the bus for the entire trip?
find the x intercept of the tangent line at x=-1
A person repeatedly and independently flips a coin to decide whether to take a step to the left or to the right from a point X. determine the expected number of times the person returns to X.
In a certain manufacturing process the probability of a type I defect is 0.14, the probability of a type II defect is 0.34, and the probability of having both types of defects is 0.04. Find the probability of having neither type of defect.
A cylinder is to be constructed so that it will have a minimum surface area while holding 128 pi cubic feet of gasoline. Determine the necessary dimmensions. Be sure to verify your answers indeed guarantee that a minimization has been accomplished..
What is the exact area of a circle with a diameter of 29 inches? In an 8 inch square cake pan and a 10 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 1.5 inches high. Show step by step work. Include co..
What did the doctor say after examining Yunn Yunsberger.
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