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 = 32 - x2, y = x2, x = 0
A. 512?
B. 64?
C. 128?
D. 256?
Answer: D
Mathematics
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Compute the gradient of the function at the given point.
A. ?f = 160i - 30j B. ?f = 40i - 30j C. ?f = 80i - 30j D. ?f = 40i + 10j
Mathematics
Solve the problem.The table lists the amount of emissions of a certain pollutant in millions of tons.
If the amount of emissions is modeled by a function of the form 
where x is the year, estimate the year in which the amount of emissions will be 
tons.
A. 2085 B. 2030 C. 2100 D. 2060
Mathematics
Find the vertical asymptotes, if any, of the graph of the rational function.f(x) = 
A. x = -2, x = -3 B. x = 2, x = 3 C. x = 2, x = 3, x = - 4 D. x = - 4
Mathematics
Translate to a proportion and solve. Round to the nearest hundredth, if necessary.5% of 400 is what number?
A. 200 B. 2 C. 20 D. 0.2
Mathematics