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determine the sequence convergence or divergence if convergence find the limit ?
1- an = sin (n^5 / (1.1)^n2- an = 2 ^-n sin (e^n)
One end of a rope is attached to the top of a pole 100 ft high. If the rope is 150 ft long, what is the maximum distance along the ground from the base of the pole to where the other end can be attached? You may assume that the pole is perpendicul..
Carol and David decide to play a game as follows: Carol draws and keeps a card from a shuffled pack number 1 to 6.
a printing press has a roller 22 inches in diameter. A point on the roller's surface moves at a speed of 109 feet per second. What is the roller's angular speed?
Find the vertical asymptote of the function f(x) 5x^2 - 4/x+1 show a work and answer. Find the vertical and horizontal asymptotes of the function g(x) =x+7/x^2 - 4
The concessions manager at our local college baseball game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather ..
The lifetimes of two car batteries (Brand A and B) are independent exponential random variables with means 12 hours and 10 hours, respectively.
Find the expected value E(X), the varianceVar(X) and the standard deviation σ ( X ) for each of the density functions.
Solving the word problem using the properties of similar triangles
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3x the altitude.
The law of cosines and Pythagoras theorem.
The combined degrees of freedom
Let R represent a county in the northern part of the united states, and let S(x,y) represent the annual snowfall at the point (x,y)in R. Give the interpretation of:
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