Identify the equation as a parabola, circle, ellipse, or hyperbola.3x2 - y = 12
A. Ellipse
B. Parabola
C. Hyperbola
D. Circle
Answer: B
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Use the graph to evaluate the limit.
f(x)
A. 1 B. does not exist C. -1 D. ?
Find the center of mass of a thin plate covering the given region with the given density function.The triangular region cut from the first quadrant by the line y = -x + 1, with density ?(x) = x
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Evaluate the indicated function with the given information.Find cos 2x if sin x = - 
(in fourth quadrant).
A. 
B. - 
C. - 
D. 
Solve the problem.Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by 
where x represents the dollars of tax per ton of carbon emitted and P represents the percent reduction in emissions of carbon. (P is in decimal form.) Determine P when 
Round to three decimal places.
A. -0.17 B. 1.749 C. -0.246 D. 0.251