The table gives the values of a function obtained from an experiment. Use the values to estimate 
using three equal subintervals with left endpoints.
43.2
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Find the average value of 
over the given region.
+ z2 over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 9 B. 243 C. 81 D. 162
Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state.
A. 2 B. -32 C. -2 D. not a real number
Identify the numbers from the given list that belong to the indicated set. 19, 
, -14, 0, 
, - 
, 3.3, 
Integers
A. 19, -14, 0, 
B. 19, 0, 
C. 19, 0
D. 19, -14, 0
Patricia has at most $36,000 to invest in securities in the form of corporate stocks. She has narrowed her choices to two groups of stocks: growth stocks that she assumes will yield a 13% return (dividends and capital appreciation) within a year and speculative stocks that she assumes will yield a 26% return (mainly in capital appreciation) within a year. Determine how much she should invest in each group of stocks in order to maximize the return on her investments within a year if she has decided to invest at least 3 times as much in growth stocks as in speculative stocks.
$__________ in growth stocks and $ __________ in speculative stocks maximum return: $ __________