Sketch D and g(D) from the description of D and change of variables
x = u + v, y = 2u - v where D is the rectangle 0 ? u ? 1, -1 ? v ? 1
?
A.
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B.
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C.
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D.
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Answer: C
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Solve the problem.Your associate, who wanted to improve his physical fitness for an event to take place on July 1st, started a diet and exercise regimen on January 1st. He measured his weight on that day and on the 1st of each month thereafter until July 1st. Having met his goals on July 1st, he decided to continue with the regimen and record keeping for the remainder of the year. The data is used to construct a graph, where the number of months since July 1st is the input variable, and the weight lost or gained during each month is the output variable. Note that July 1st is taken to be time zero, since this date is of interest as a reference point. If the graph tells you that 2 pounds were lost in August, in which quadrant is the point for August located?
A. Quadrant III B. Quadrant II C. Quadrant I D. Quadrant IV
Solve the inequality, then graph the solution.-2 < x + 5 < 4
A. (-7, -1)
B. (3, 9)
C. (-1, ?)
D. (1, 7)
Factor completely.x2 + 13x + 14
A. (x + 7)(x - 2) B. (x - 7)(x + 2) C. Prime D. (x + 14)(x - 1)
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = x2 - 3, y = 2x, x = 0, for x ? 0
A. ?
B. 18?
C. 45?
D. ?