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Find the area of the lateral surface over the curve C in the xy-plane and under the surface z = f(x,y), where the lateral surface area is is given by the integral below.
f(x,y) = x + y
C: x^2 + y^2 = 9 from (3, 0) to (0, 3)
A farmer has a rectangular pasture with dimensions x by 2x. If he places posts 15 ft. apart, how will he represent the distance between each post on the shorter side? on the longer side?
Find an equation that describes the position of point P above its rest position as a function of time. Take t = 0 to be the instant when the string is released.
You pay $6 to play a game where you will roll a die, with a payoff as follows: $8 for a 6, $7 for a 5, and $4 for any other result. What are your expected winnings? Is the game fair?
Either explain why f is not linear or write down the matrix that represents f . iI general how do you solve problems of this type?
(a) Find the Riemann sum for f(x) = x - 4 sin 2x, 0 x 3, with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.)
Calculate the work against gravity required to build a tower of height 70 ft in the shape of a right circular cone with base of radius 14 ft out of brick.
when heated a metal bar expands by 0.4%. if the lenght of the bar is 1cm, what was the orignial length of the bar?
A Midwestern company that produces a particular machine component has 3 factories, one each in Chicago, Cleveland, and St. Louis. 50% of the components produced come from the Chicago factory
Write the expression in the standard form a + b i. First convert to rectangular form--- calculate the magnitude-- find reference angle--then the argument of z---
Find the best predicted value of y corresponding to the given value of x. The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is hat(y)=11.7+1.02x. Ten pairs of data were used to obtai..
The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p that it charges. The revenue R is given by the following function.
The number of workers in the U. S. increased from 41.3 million to 44.4 million. What is the percent increase? Employees working from home increased from 23.5 million to 24.1 million. What is the percent increase.
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