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Assume that a disk expands with the speed of area a = 2(cm2/s). Assume that at the moment t = 0, the radius of the disk is 3 (cm). (Recall that the area of a disk of radius R is A=πR2
1) What is the growing speed s of the radius at the moment t? (Your final answer s = s(t) should be a function depending only on t).
2) Use linear approximation to give an approached value of:
s(2.1) = s(2+0.1)
Suppose Adam buys one dollar's worth of flour each week and Eve buys one pound of flour each week. If the price of flour is not constant from week to week, which one gets the lowest average cost per pound of flour?
The balance, B, in dollars, in a bank account depends on the amount deposited, A dollars, the annual interest rate, r%, and the time, t
Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week.
Determine the key factors that influence the occurrence of your chosen hazard. Aanalyze the human role in elevating the risks of occurrence, as well as mitigation strategies to minimize damage and loss of life.
a right circular cone of height 3 and radius (at the base) equal to 8. What are the dimensions of such a cylinder which has maximum volume?
For each scenario calculate the break-even load factor as a percentage of available seat miles or ASMs - must show work. The break-even load factor formula is:
A family of four is spending an average of $793.29 monthly on food but would like to cut back on this expense. If this family is able to decrease their spending by 0.5% every month, what will be their monthly spending on food after one year?
the salaries of a group of 60 workers in one year had a mean of $34,100 and a standard deviation of $7,200. At the end of the year each worker recieved a bonus $2,500 what are the mean and standard deviation of the salaries after the bonus is incl..
From a sample of size 150 it has been estimated that 10% of all pencils have bad erasers.
Define f : R ? R by f (x) = mx + b.
Ace Industries has current assets equal to $3 million. The company's current ratio is 1.5, and its quick ratio is 1.0. What is the firm's level of current liabilities? What is the firm's level of inventories?
Find the least squares regression line, and graph both the scatter plot and the regression line - Find the least squares regression line, and graph both the scatter plot and the regression line
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