Find the equation of the parabola determined by the given information.Vertex at the origin, focus at (
, 0)
A. y2 = 24x
B. y = 
x2
C. x2 = 24y
D. x = 
y2
Answer: D
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Solve the problem.Consider the functions f(x) = x2 and g(x) = x3 and their linearizations at the origin. Over some interval 
the approximation error for g(x) is less than the approximation error for f(x) for all x within the interval. Derive a reasonable approximation for the value of ?. Show your work. (Hint, the absolute value of the second derivative of each function gives a measure of how quickly the slopes of the function and its linear approximation are deviating from one another.)
What will be an ideal response?
Find the horizontal asymptote, if any, of the graph of the rational function.f(x) = 
A. y = 3
B. y = 
C. y = 0
D. no horizontal asymptote
The revenue R (in dollars) generated by the sale of x units of a patio furniture set is given by 
. Approximate the number of sales that will maximize revenue.
?
A. 
The revenue is maximum when 
units.
B.
The revenue is maximum when 
units.
C.
The revenue is maximum when 
units.
D.
The revenue is maximum when 
units.
E.
The revenue is maximum when 
units.
Classify the following as the equation of a parabola, a circle, an ellipse, or a hyperbola.5x2 + 2x - 3 - y = 0
A. Circle B. Hyperbola C. Parabola D. Ellipse