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The angle of elevation to the top of a building from a point on the ground is 39 degrees. From a point 50 feet closer to the building, the angle of elevation is 45 degrees. What is the height of the building?
Solving probability problems based on combinations
Let diamond-sin(t) give the y-coodinate of a point that is t units counterclockwise along the perimeter of the diamond from the point (1,0).
A swimming pool has a small leak in it. The pool has 25000 gallons of water. The water is leaking out at the rate of 12 gallons every 7 minutes. In how many days will the pool be empty?
Use calculus to determine what the external dimensions of the pen that will maximize the enclosed area.
Estimate the population after many months - for example many years into the future.
A population of animals oscillates sinusoidally between a low of 500 on Janary 1 and a high of 700 on July 1. Graph the population against time. Find a formula for the population P as a function of time, t, measured in months since the start of th..
A rectangular carpet has a perimeter of 218 inches. The length of the carpet is 87 inches more than the width. What are the dimensions of the carpet?
" After solving a system of linear equations, how can you check your answer to determine whether it is correct? Demonstrate the process of checking an answer with an example."
Prove that the function f(x) = C (a constant function) is Reimann integrable over [a,b] and calculate its Reimann integral over [a,b]
Find the present value of Rs. 2,000 due in 6 years if money is worth compounded semi-annually. (b) Ascertain the present value of an amount of Rs. 8,000 42/SEM - I /2011
In calculus, the function f(x) = e^(-x^2) is always given as an example of a function that "you cannot integrate" because one cannot guess an elementary function F such that F'(x) = e^(-x^2). Find a power series for F.
Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
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