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Question: (a) Find (in terms of b) the area of the region between y = e-bx and the x-axis, between x = 0 and x = 1. Assume b > 0.
(b) If this region is rotated about the x-axis, find the volume of the solid of revolution in terms of b.
The total amount of oil spilled in the 1990s was 1/3 the amount spilled in the 1970s and 30 thousand tons less than the oil spills of the 1980s. Using one variable, write an expression that represents the oil spills for each decade.
Discuss how an axiomatic set theory can be developed to avoid Russell's paradox. Use the internet as a source for writing a one or two page essay on the topic.
Should they, and other U.S. shoe manufacturers continue to contract for making shoes in Asia? Should the U.S. government be involved in regulating such operations?
explore if X and Y are independent and find the conditional pmf of Y given that 3 eggs among the six selected are cracked. What is the probability that X 1?
There are 5 red and 9 green balls in a bag. If you randomly choose balls one at a time, with replacement, what is the probability of choosing 2 red balls and then 1 green ball?
What is the acceleration needed to travel the maximum distance when starting from a standstill? How is acceleration impacted by the distance error?
What is the greatest area of a rectangle having a perimeter of 38 cm and sides of integral measure?
How long should each piece of the wire be to minimize the total area? What is the radius of the circle? How long is each side of the square?
What is globalisation, and what explanations have been put forward to explain how it affects individuals and communities?
Copy machine maintenance may be $500 for the first year and will increase by $100 each year. Evaluate if it is worth buying at an interest rate of 6%?
A level surface of the function
The second option is to put down a 1/3 payment at the time of purchase and no payments required for six months. If you pay it off within the six months, no interest payments, otherwise the accrued interest is tacked on to the unpaid balance. There..
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