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The value of China's exports of automobiles and parts( in billions of dollars) is approximately f(x)=1.8208e^3387x, where x=0 corresponds to 1998.
In what year did/will the exports reach$7.3 billion?
Give your answer as the year, with at least one decimal place
Find the constants. Find the center of mass of the solid bounded below by the cone z2 = x2 + y2 and above by the sphere x2 + y2 + z2 = 2az and whose density is kz.
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
Suppose the length of a rectangle increases, but the perimeter remains at 70 feet. How does the width change?
A survey of 39 adults found that the mean age of a person's primary vehicle is 5.6 years. Assume that the standard deviation of the population is 0.8 year.
Gravel is being poured onto a pile at the rate of 180 cubic meters per minute. The pile is in the shape of an inverted cone whose diameter is always three times its height.
Calculate the mass of the solid contained by the ellipsoid (x2/a2) + (y2/b2) + (z2/c2) = 1 given constant mass density β. Hint: You want to do TWO transforms.
A paper bag contains a mixture of three types of candy. There are ten gum balls, seven candy bars, and three packages of toffee. Suppose a game is played in which a candy is randomly taken from the bag
Imagine you own a company and could choose the type of economic system your country uses.
If clock strikes once at one o clock, twice at two o clock, and twelve times at twelve o clock, and again one at one o clock and so on. How Many times will the bell be struck in 2 days.
find two vectors in H whose sum is not in H, or find a vector in H with a scalar multiple that is not in H. Draw a picture.)
Where should Steve cut the wire so that the total area of the circle and square combined is as small as possible? What is this minimal area? What should Steve do if he wants the combined area to be as large as possible?
Finally, make a general conjecture about the correspondence from the list of eight boundary temperatures to the list of four interior temperatures.
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