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1. A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the radius is 14 cm. (Note the answer is a positive number)
2. A company selling widgets has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x=50000√5p+1
Due to inflation and increasing health benefit costs, the company has been increasing the price by $2 per month. Find the rate at which revenue is changing when the company is selling widgets at $260 each.
Suppose there is a hole in the can of paint and 18 lb of paint leaks steadily out of the can during the man's ascent. How much work is done by the man against gravity in climbing to the top?
This select group has been asked to consider the Colorado City Convention and Visitors Bureau survey of 25 hotels in the local area. The survey is concerned with the current availability of rooms.
A student studying for a vocabulary test knows the meanings of10 words from a list of 20 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Rou..
the equation f x 198,900 635,600 can be used to model the number of utility trucks under 6000 pounds that are sold each year in the u.s. with x 0 representing the year 1992.
If the advance promoter wants to have a 99% chance of completing all preparations by June 30, when should work begin on finding a concert site?
Given that f(x)=exp(-x), please show that its moment generating function is given by M(z)=1/(1-z), and show that the kth moment about the origin is k.
Use the Taylor Series for 1/(1-x) to find the Taylor Series of 1/(1+x) about x = 0 and its Interval of Convergence. Use the result of part (i) to find the Taylor Series of ln(1+x) about x = 0 and its Interval of Convergence.
Use the Remainder Theorem to find (-4) for the equation f(x) = 2x 3 - 3x 2 - 45x - 54. 5. Find the horizontal asymptotes, if any, of the rational functions. a. (x) = 12x 2 3x+1 b. g(x) = 12x 2 3x 2+1 c. h(x) = 12x 3x 2+1 6.
A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?
Donovan Enterprises produces electric mixers. Demands for the next four quarters are: 40000, 20000, 30000,and 70000. Each quarter's demand must be satisfied in the same quarter. Production cost is estimated to be $30 per mixer. Due to limited number ..
Find all subfields of Q ( sqrt2, sqrt 3) with proof that you have them all. What is the minimal polynomial of sqrt2+ sqrt3? Which subfields does it generate over Q?
The importance of geometry's role in the math curriculum is debated in many high schools and colleges. Some schools offer the course while others have done away with it.
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