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Evaluate the integral ∫∫R e(x + y)/(x - y) dA, where R is the trapezoidal region with vertices (1, 0), (2, 0), (0, -2) and (0, -1).
a. Sketch the region R and choose an appropriate change of variables for the transformation to the region S in the uv-plane.
b. Calculate the Jacobian, determine the limits of integration, and evaluate the transformed integral.
A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
A light bulb company knows the lifetime of 10,000 bulbs is normally distributed. The mean lifetime of a bulb is 8 months, and the standard deviation is 1.5 months. Approximately, how many bulbs will last more than 10 months?
the dimensions of a certain computer monitor screen are such that its length is 2 inches more than its width.If the length is increased by 1 inch while the width remains the same,the area is increased by 14 square inches. What are the dimensions o..
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Calculating the local maximum and minimum.
When solving rational equations, you must check your solutions to make sure you are not including extraneous solutions that are not actual solutions to the original equations.
Let G sub1 and G sub 2 be groups, with subgroups H sub 1 and H sub 2, respectivetly. Show that {(x sub 1, x sub 2) | H sub 1 is an element of H sub 1, x sub 2 is an element of H sub 2} is a subgroup
construct a hypothetical 95 confidence interval for a hypothetical case of your choosing. use your own unique choice of
If the width is doubled, fifty extra feet of fencing will be need to keep out the creatures. What are the dimensions of the original garden?
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