Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.If the graph of f is concave downward on (a, b), then the graph of - f is concave upward on (a, b).
What will be an ideal response?
The statement is true. If the graph of f is concave downward on (a, b), then the f''< 0 on this interval. For the function - f we have (- f )'' = - (f )'' > 0 on (a, b), hence the graph of - f is concave upward on this interval.
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Solve the problem.A company applies a clear glaze finish on the outside of the ceramic bowls it produces. The bowl corresponds to the bottom half of a sphere which is created by rotating the circle 
around the x-axis. The finish is to be 0.2 cm thick, and the company wants to create 3000 bowls. Use the fact that 
to calculate how many liters of finish are required. Assume that all specifications for the bowl are in cm.
A. 150.8 L of finish B. 60.32 L of finish C. 30.16 L of finish D. 1.51 L of finish
Provide an appropriate response.Suppose a person deposits $1000 in a savings account at the end of every six months. What is the value of the account at the end of five years if interest is at a rate of 10% compounded semiannually?
Fill in the blank(s) with the appropriate word(s).
Find the value of the polynomial.4x3 - 4x2 + 47 when x = -2
A. -1 B. -11 C. 23 D. -13
Solve the problem.The table shows the total amount of precipitation (in inches) in a certain US city in 17 different years. Find the interquartile range.
A. 7.6 in. B. 7.9 in. C. 6.9 in. D. 7.2 in.