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Question: Mike asks Billy to help him run his lemonade stand. He'll either pay him 2/5of 1/2of the stand's profits, or 1/3 of3/4of the stand's profits. Which should Billy choose to maximize the amount he will earn, and by what amount will his earnings be increased?
Question: Use the Mean Value theorem to prove: if f is differentiable on R such that f (0) = (a+2), a ≥ 0 and | f (x) | ≤ 2 for all x ε R, then | f (x) |≤ 2(| x | +1) + a for all x R
MATH 16A WORKSHEET 1. Expand (x + 1)(x - 2). Factor x2 - 4x - 21. Find the domain of definition of the function f(x) = 1/√(x2-1)
Find three positive numbers whose product is to be as large as possible if the sum of the first, twice the second and 9 times the third is 648.
Describe some of the important criteria that you would use in selecting a project for analysis and design. In your view, what are the three most important criteria?
REAL ESTATE INVESTMENTS An investor purchased a piece of waterfront property. Because of the development of a marina in the vicinity.
Discuss the similarities and differences in solving system of matrices using Gauss-Jordon method and Cramer's rule. Why would you chose one over the other? Explain.
Find the range for the measure of the third side of a triangle with the given two sides 31 and 4.
Mr. Smith invested $48,000, part at 6% interest and the remainder at 10%. He received $4000 in interest after one year. How much was invested at each rate?
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
How much money can a person afford to borrow at 8% interest compounded semiannually if the loan is to be repaid at half-year intervals for 10 years with $1000 payments per half-year?
Which measure of central location is meaningful when the data are categorical
The length of an office is x feet and the width is x+1 feet. Write the polynomial that represents the area. Find the area if x=8
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