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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?
Use polar coordinates to find lim(x,y)->(0,0) [(x)(y^2)]/[(x^2)+(y^2)] note that (x,y)->(0,0) is replaced with r->0^+. explain why this is a valid replacement.
Explain how to find the vertex of a parabola and explain how algebra is used to determine if a parabola possesses real roots.
Create a piecewise function that accurately represents Ben's charges based on his cellphone plan.
Find the expected number of machines that will break down on a given day.
Question Find an optimal parenthesization of the matrix-chain product for p = Show the m and s tables and the printing of an optimal parenthesization.Comment
Investors at a theme park would like to estimate the unknown proportion (p) of visitors who have visited the theme park in the past five years. They would like to be 90% confident of achieving an accuracy of at least 0.04. How large a sample of vi..
How much wire should be used for the square in order to maximize the total area?
Using the regression module of Excel's Add-in Data Analysis, perform 3 simple regressions by regressing overhead costs against each of the proposed independent variables. Show the output for each regression and evaluate each of the regression results..
Assuming the change of either a boy or a girl is equal (50% each), what is the chance that the family has three girls given that the first child is a girl.
A street has 20 houses on each side, for a total of 40 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street.
application of law of cosines to pentagonsa regular pentagon is inscribed in a circle of radius 4 centimeters. make use
Rewrite the equation with the right side completely factored.
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