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Use the Divergence Theorem to calculate the surface integral ∫∫S FdS; that is, calculate the flux of F across S.
F(x, y, z) = zi + yj + xk, S is the cylinder y2 + z2 = 1 where -1 ≤ x ≤ 5.
In the year 1930s, some trucks used a chain to transmit power from the engine to the wheels. Suppose the drive sprocket had a diameter 6 in., the wheel sprocket had diameter 20in., and the drive sprocket rotated at 300 rev/min. Find the angular ve..
I was one-tenth of a mile from the intersection, while she was three-twentieths of a mile from it. How fast were we approaching each other at that instant?
A spherical weather balloon is being inflated. Beginning at 19 cm, the radius of the balloon is increasing at the rate of 2 cm per second. Express the surface area of the balloon as a function of time t (in seconds).
illustrate all of your work when answering the followingi. use chebyshevs theorem to find what percent of the values
The McBertys have $40,000 in savings to use as a down payment on a new home. They also have determined that they can afford between $1,500 and $2,000 per month for mortgage payments.
The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data.
Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
What was the approximate population in 1990 and calculate the approximate population for the year 2015 (t = 25).
a boat's crew rowed 7.5 miles downstream, with the current, 1.5 hours. the return trip upstream , against the current , covered the same distance, but took 2.5 hours. find the crew's rowing rate in still water and the rate of the current.
In R2, let triangle ABC be a right triangle with right angle at angle C. Consider the altitude CH (it meets AB perpendicularly). Prove that |CH|^2 = |AH| * |BH|.
the dimensions of a rectangle are such that its length is 3 in more than its width. if the length were doubled and if the width were increased by 1 in, the area would be increased by 104 in what are the length and width of the rectangle?
a brand of salsa comes in jars marked net weight 680 grams. suppose the actual mean net weight mu 680 grams with a
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