The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in a city has been approximated by
?
?
where A(t) is measured in pollutant standard index (PSI), and ?t is measured in hours, with 
corresponding to 4 a.m. Use the trapezoidal rule with 
to estimate the average PSI between 4 a.m. and noon. Please round the answer to the nearest hundredth. (Hint: 
.)
?
A. 106.95 nitrogen dioxides
B. 108.79 nitrogen dioxides
C. 159.77 nitrogen dioxides
D. 102.79 nitrogen dioxides
E. 129.7 nitrogen dioxides
Answer: D
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Solve the problem.Find an equation for the level curve of the function f(x, y) = 
that passes through the point 
.
A. y = 81 B. y = -81 C. y = ± 9 D. y = 9
Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) = 
A. No x-intercepts, no y-intercepts ;
B. x-intercept: (-1, 0) , y-intercept: 
;
C. No x-intercepts, no y-intercepts ;
D. x-intercept: (-1, 0) , y-intercept: 
;
Graph the function.y = (1 - x)3 - 5
A. 
B. 
C. 
D. 
Solve the problem.One rope pulls a barge directly east with a force of 65 newtons, and another rope pulls the barge directly north with a force of 72 newtons. Find the magnitude of the resultant force acting on the barge.
A. 97 newtons B. 7 newtons C. 4680 newtons D. 137 newtons