Provide an appropriate response.
Explain why the shortcut for multiplication of the sum and difference of the same two terms works. Create an example to demonstrate if necessary.
What will be an ideal response?
Answers will vary.
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Solve the problem.A water tank is formed by revolving the curve y = 6x4 about the y-axis. Water drains from the tank through a small hole in the bottom of the tank. At what constant rate does the water level, y, fall? (Use Torricelli's Law: dV/dt = -m
.)
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Solve the problem.Find the number of units that must be produced and sold in order to yield the maximum profit, given the following equations for revenue and cost:R
= 4xC
= 0.01x2 + 1.4x + 20.
A. 540 units B. 260 units C. 270 units D. 130 units
Construct an extended frequency distribution for the set of numbers and calculate the mean of the grouped data. Follow the instructions for class width.Use a class width of 100 beginning at 1000 (Hint: The first class is 1000 -1099.)108313751109168313681288106714251358163411971296115715791479139710621580124216851276139812471427114715681572148214311583
What will be an ideal response?
Find the domain and the range of the function.
A. D: x ? 0, R: y ? - 
B. D: x ? 
, R: y ? 0
C. D: All real numbers, R: All real numbers
D. D: x ? 
, R: y ?0