Water is poured into a bucket according to the rate f(t) = (t + 7)/(2 + t), and at the same time empties out through a hole in the bottom at the rate e(t) = ln(t + 4)/(t + 2), with both f(t) and e(t) measured in pints per minute. how much water, to the nearest pint, is in the bucket at time t = 5 minutes. you must show your setup but can use your calculator for all evaluations.

Using two or more complete sentences, describe how you can find a vector parallel to b=-2,3

What is the domain of the given function? {(3,-2), (6, 1), (-1, 4), (5,9), (-4, 0); o {x | x= -4,-1, 3, 5, 6} o {yl y = -2,0, 1,4,9} o {x|x = -4,-2, -1,0, 1, 3, 4, 5, 6, 9} o y y = 4,-2, -1, 0, 1, 3, 4, 5, 6, 9}

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu . assume that the population has a normal distribution. a laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with sequals 17.6 milligrams. a confidence interval of 173.8 mgless than muless than 196.2 mg is constructed for the true mean cholesterol content of all such eggs. it was assumed that the population has a normal distribution. what confidence level does this interval represent?