Identify the values for which the rational expression is undefined.
A. x = -2 or x = -6
B. x = 0
C. x = 2 or x = 6
D. x = 5 or x = -5
Answer: C
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Use the graph to evaluate the limit.Find f(x) and
f(x)
A. -2; -7 B. -5; -2 C. -7; -2 D. -7; -5
Solve the problem.In flying the 80 miles from Champaign to Peoria, a student pilot sets a heading that is 12° off course and maintains an average speed of 112 miles per hour. After 15 minutes, the instructor notices the course error and tells the student to correct his heading. Through what angle will the plane move to correct the heading and how many miles away is Peoria when the plane turns?
A. 161.7°; 52.93 mi B. 161.7°; 70.66 mi C. 18.3°; 52.93 mi D. 18.3°; 70.66 mi
Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 in. Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations. (Hint: Let the dimensions of the box be x'' by y'' by z'' (see the figure below). Then, , and the volume
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.)
?
?
x = __________ inches
?
y = __________ inches
?
z = __________ inches
?
V = __________ cubic inches
What will be an ideal response?
Solve.The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: What rainfall produces the maximum number of mosquitoes?
A. 15 inches B. 225 inches C. 0 inches D. 7.5 inches