Consider the region enclosed by the graphs of y=4-4z, y = 4- and the z-axis. a....
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Consider the region enclosed by the graphs of y=√4-4z, y = √4- and the z-axis. a. (3 points) Graph the region on the axis at right b. (5 points) Give the resulting integral(s) necessary to find the area of this region, assuming that we integrate with respect to z (i.e., we partition the z-axis). c. (5 points) Give the resulting integral(s) necessary to find the area of this region, assuming that we integrate with respect to y (i.e., we partition the y-axis). d. (7 points) Based on your answers above, integrate the integral of your choice to find the area of the defined region. Consider the region enclosed by the graphs of y=√4-4z, y = √4- and the z-axis. a. (3 points) Graph the region on the axis at right b. (5 points) Give the resulting integral(s) necessary to find the area of this region, assuming that we integrate with respect to z (i.e., we partition the z-axis). c. (5 points) Give the resulting integral(s) necessary to find the area of this region, assuming that we integrate with respect to y (i.e., we partition the y-axis). d. (7 points) Based on your answers above, integrate the integral of your choice to find the area of the defined region.
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