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Rick traveled 2 hours nonstop to Peru, a total of 80 miles. He took a train part of the way, which averaged 50 mph, and then took a donkey the remaining distance, which averaged 30 mph. How long was Manuel on the train?
Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
Your schools parent teacher organization wants to sell long sleeved t shirts as a fundraiser. The business manager found a company that will charge $4 for each long sleeved t shirt and a set up fee of $160 to create the design that will be pla..
Determine whether the series is convergent or divergent: 9/(n(n+2)) from n=1 to infinity.
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
Two fire towers are 30 km apart. tower A being due west of tower B. a fire is spotted from the towers and the bearings from A and B are East 14 degress north and west 34 north respectively. find the distance D of the fire from the line segment AB.
How are they interpreted in terms of the original problem? Are the results reasonable? If not, what are the failings of the model that led to poor results?
A rectangular sea aquarium observation window is 12 ft wide and 4 ft high. What is the force on this window if the upper edge is 3 ft below the surface of the water? The density of seawater is 64 lb/ft3
find the volume of the solid. The lower limit of integration is a. The upper limit of integration is b. The base of the triangular cross-section is the following function of y. The area of the triangular cross-section is A(y)=
A square's side is increased by 7 yards, which corresponds to an increase in the area by 217 square yards. How many yards is the side of the initial square?
Determine the population proportion
Important information about Binomial Random Variable, Four cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in a set of 4 cards.
What is the after-tax cost of debt for MC?
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