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An offshore oil platform develops a leak. As the oil spreads over the surface of the ocean,it forms a circular pattern with a radius that increases by 1 m every 30 s.a) Construct a table of values that shows the area of the oil spill at 2-min intervals for30 min, and graph the data.b) Determine the average rate of change of the area during each interval.i) the first 4 min ii) the next 10 min) the entire 30 min) What is the difference between the instantaneous rate of change of the area of the spill at 5 min and at 25 min?
The rate of change of Area, A, of a circle is 32 π in2/min when the radius is 2 in. Find the rate of change of the radius of the circle ( i.e., dr/dt) when the radius is 2 in.
A company owns 300 laptops. Each laptop has an 7% probability of not working. You randomly select 20 laptops for your salespeople.
Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
Find examples of both from the financial services sector.
Find the work done pulling the bucket to the top of the well.
Do we have obligations to future generations? Do our obligations extend beyond the living to future generations? If so, who speaks on behalf of future generations in business decision making?
Suppose a fair coin is tossed n times. Each coin toss costs 'd' dollars and the reward in obtaining 'X' heads is aX^2 + bX. Find the expected value of the net reward.
23% of the seniors at a high school failed pre-calculus.if 1138 students failed pre-calculus, how many seniors are at t his high school?
Find the percent of the undergraduates enrolled in each of the four types of programs who were 18 to 24 years old. Make a bar graph to compare these percent's
Write an R program to find the efficient frontier, the tangencyportfolio, and the minimum variance portfolio, and plot on "reward-riskspace" the location of each of the six stocks, the efficient frontier
The number of staff personnel needed to handle patients at a medical center is determined by the mean time that patients must wait before being attended to by a physician. For a random sample of 100 previously recorded emergencies, the sample mean..
A cantilever beam of length l carrying a distributed load varies uniformly from zero at the free end to w per unit run at the fixed end. Find the slope and downward deflection of the free end B.
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