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A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
Calculate the percentage of students who score between 550 and 650.
Evaluate the Equation of the line which passes through the two given points and Write down the equations of the line described in the following questions
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
Solve the following system of equations using the Substitution method: Solve the following system of equations using the elimination method:
The graphic method of LP uses
Probability of a component failing, A component has a failure rate per hour of 4.5E-3. The failures are governed by the exponential distribution
Integration by parts method - How much longer would the worm be at t = 2, if it always grew at the maximum rate? Use Integration by parts.
Find the domain and range of the function: f(x)=6xsquared+4. Find the distance between the two plotted points;(-5,2) (4,-4). Using graph of f(x)=x squared as a guide, graph the function; g(x)=(x-3)squared+4
Pasta comes with tomato sauce and can be ordered with some , all, or none of these ingredients in the sauce: {onions, garlic, carrots, broccoli,shrimp, mushrooms, zucchini, green pepper}.
A printer is making a poster that will have a TOTAL AREA of 200 square inches and will have 1 inch margins on both sides, a 2 inch margin on the top and a 1.5 inch margin on the bottom.
Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An. Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for al..
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