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mason has 550 ft of fencing and he wants to build a rectangular pen with three parallel partitions. Mason wants to maximize the area of the pen. Determine the dimensions of the pen which will maximize area.
an open box is to be constructed from a square piece of material by cutting a 3-inch square from each corner. Find the dimensions of the square piece of material if the box is to have a volume of 363 cubic inches.
If you have 260 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
the runners are running on circular tracks of which has a circumference of 1320 feet. the tracks are 100 feet apart and and the runners start opposite each other and move at the same constant rate of 880 ft/min. how fast are the runners separating..
A fabric wall hanging is to fill a space that measures 12 ft by 10 ft. Allowing for 3 in. of the fabric to be folded back along each edge, how much fabric must be purchased for the wall hanging? Round to the nearest whole number.
Design a mathematical model for solving this problem and use any gradient method to ?nd an approximation to the solution of the system (either perform 3 iterations manually or use a Matlab/Mathematica program). Hint: minimise the distance between ..
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
After the five years further R20 000 is deposited into the same account.assuming that the interest remains the same for another two years.how much money will be in the account after the two years, when the other deposit was made?
At a certain rate of simple interest $1000 will accumulate to $1110 after a certain period of time. Find the accumulated value of $500 at a rate of simple interest three fourths as great over twice as long a period of time.
Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 32.02 ounces.
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
find the position of the spring when it has, (i)zero velocity(ii)max velocity(iii)minimum velocity
Use a Venn diagram and the given information to estimate the number of elements in the indicated region.
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