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Let S be the portion of the plane x-2y+z = 1 that is cut off by the coordinate planes and the plane x + y = 1. Let V be the velocity field V (x, y, z) = (y, z, x^2 ). Find the flow across S when n points upward. Explain your answer.
Draw the graph of y as a function of x if y depends on x as indicated in Fig. that is, y is the height of the aeroplane above the point.
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
A company produces two products, A and B For each unit of A sold the profit is $8, and for each unit of B the profit is $11. It has bee n found from past experience that 25% more of A can be sold than of B.
Please show in detail how to solve the following area problem. Let R be the region bounded by the graphs of f(x) = 4 - x^2/4 +8x
Determine the probability of event A given that event B is already occurred
We have a dime and a fifty cent piece in a cup. We withdraw one coin. What is the expected amount of money we withdraw? What is the variance?
Zack weighed 230 pounds before experiencing a 12% weight loss. How many pounds does he now weigh?
A railroad track 1000.00 ft long expands 0.20 ft (2.4 in.) during the afternoon (due to an increase in temperature of about ).
How fast is the shadow of the ball moving along the ground when the ball is 12 ft above the ground and is moving up at 4 ft/s?
block of metal has a width of 3.2 rm cm, a length of 17.1 rm cm, and height of 4.9 cm. Its mass is 1.5 kg. Calculate the density of the metal.
How many nonisomorphic simple connected graphs with five vertices are there with no vertex of degree more than two?
The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular. What are the dimensions of the enclosure that can be constructed at a minimum cost?
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