Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
? y = x2 y = 
A. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 2, f(x) is not differentiable at 
B. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 1, f(x) is not differentiable at 
C. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 
, f(x) is not differentiable at 
D. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 2, f(x) is differentiable at 
Answer: A
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Make the indicated conversion. 46.9 
to 
A. 51,500 ft/h B. 554,000 ft/h C. 9230 ft/h D. 154 ft/h
Find the average value of 
over the given region.
over the rectangular solid in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 
B. 
C. 
D. 
Find an equation of the parabola described.Focus at (22, 0); directrix the line x = -22
A. y2 = 22x B. x2 = 88y C. y2 = 88x D. y2 = -88x
A manufacturer of a certain commodity has estimated that her profit in thousands of dollars is given by the expression
?
?
where x (in thousands) is the number of units produced.
?
What production range will enable the manufacturer to realize a profit of at least $6,000 on the commodity?
?
A. Between 1,000 and 9,000 units. B. Between 5,000 and 10,000 units. C. Between 5,000 and 6,000 units. D. Between 1,000 and 6,000 units. E. Between 1,000 and 10,000 units.