Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given by the value of the function at the right side of the rectangle.f(x) = x2 + 2 from x = 1 to x = 4; n = 6
A. 28.875
B. 26.875
C. 30.875
D. 24.875
Answer: C
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Use the bar graph, which shows the receipts of the federal government (in billions of dollars) for selected years from 1996 through 2006. In this exercise you are given the expenditures of the federal government. Find the magnitude of the surplus or deficit for the year 2006.
(Source: U.S. Office of Management and Budget)
?
Year
Receipts
Expenditures
|Receipts - Expenditures|
?2006
?
?2655.4
?
?
A. ?
| Year | Receipts | Expenditures | |Receipts - Expenditures| |
| ?2006 | ?2407.3 | ?2655.4 | ?248.1 |
B. ?
| Year | Receipts | Expenditures | |Receipts - Expenditures| |
| ?2006 | ?2407.3 | ?2655.4 | ?102.4 |
C. ?
| Year | Receipts | Expenditures | |Receipts - Expenditures| |
| ?2006 | ?2407.3 | ?2655.4 | ?105.4 |
D. ?
| Year | Receipts | Expenditures | |Receipts - Expenditures| |
| ?2006 | ?2407.3 | ?2655.4 | ?107.4 |
E. ?
| Year | Receipts | Expenditures | |Receipts - Expenditures| |
| ?2006 | ?2407.3 | ?2655.4 | ?107 |
Solve the problem.Determine the point on the plane 
that is closest to the point 
A. (-2, -1, -3) B. (2, 1, -3) C. (2, -1, 3) D. (-2, 1, -3)
Simplify the expression. All exponents should be positive integers.
A. 
B. 
C. 
D. 
Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.f(x) = 3x2 - 2x + 2
A. maximum; 
B. maximum; 
C. minimum; 
D. minimum; 