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Let F be a vector field on R^3. Suppose that F has divergence
∇·F=x^2 +y^2 +z^2.
Let S1 be the unit sphere (x^2 + y^2 + z^2 = 4), oriented outward, and let S2 be the sphere of radius 9 centered at the origin, also oriented outward. Suppose that the flux of F through S1 is 3018. Calculate the flux of F through S2.
Suppose you have a yam with n-1 cuts. Carefully slice the yam in two and look at the freshly cut faces. What do you see?
decelerates at a constant 4 feet per second per second. How many feet does the car travel before coming to a complete stop?
a balloon is at a height of 50 meters and is rising at the constant rate of 5 msec. a bicyclist passes beneath it
Choose a company that interests you, and search for it on Facebook, Linked In, YouTube, and Twitter. Based on what you find, write a message.
Find the derivative of each. Show all steps, including rewriting and simplifying. (I found the derivatives i just need help simplifying!)
The Circle B Farm placed a storage facility (farm building) into service using the MACRS cost-recovery, half-year convention rates.
Janet can shovel snow from her driveway in 50 minutes. Tom can do the same job in 35 minutes. How long would it take Janet and Tom to shovel the driveway if they worked together?
Write an integral that represents the arc length of the portion of the graph of f(x) = -x(x - 4) that lies above the x-axis. Do not evaluate the integral.
#2: Let G be the graph with vertex set Z_2^n( the same as the n-cube) and with edge set defined as follows: {u, v} is an edge of G if u and v differ in exactly two coordinates (i.e., if ω( u, v) = 2). What are the eigenvalues of G?
An experiment consists of spinning the hand of the numbered disc shown in the following figure and then observing the region in which the pointer stops.
Describe geometrically the meaning of the double integral ∫∫C (x2 + y2) dA, where C is the circle of radius 2 centered at the origin. (Draw a picture if words fail you.) Then compute the value of this integral.
some appropriate equilibrium price. Label the horizontal axis as x and the vertical as p. Shade in the area which represents the producer's surplus.
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