Find the limit.
x ln y
A. ln (3) - 3
B. ln 27
C. 27
D. No limit
Answer: B
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Suppose a wire that is 107 feet long is cut into one piece of length x feet and another of length 
feet. The first piece is bent into a square, and the second is bent into a circle. The total area enclosed is given by
square feet.
A: Make a graph of A versus x. In choosing your viewing window, bear in mind that the formula makes sense only when x is between 0 and 107.B: What is the area at the left-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.C: What is the area at the right-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.D: How should the wire be used so that the maximum area is enclosed?
What will be an ideal response?
Solve by graphing. Label the axes and show where the solution is located on the graph.The cost of a car rental is $12 plus $0.25 for each mile the car is driven. The cost, c, in dollars of the rental is given by the linear equation c = 12 + 0.25m, where m is the number of miles driven. (a) Find the missing coordinate for the ordered pair 
which corresponds to driving 34 miles. (b) In addition to the ordered pair from part (a), find at least two more ordered pairs and use these to graph the equation.
A. (a) (34, 17)
(b)
B. (a) (34, 37)
(b)
C. (a) (34, 26)
(b)
D. (a) (34, 21)
(b)
Identify the equation as either an identity or not.2 sin 5x cos x = sin 6x + sin 4x
A. Identity B. Not an identity
Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function.The salary s of an employee on her hiring date d.
A. No B. Yes; d, s; there is one salary s on the hiring date d.