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Final exam practice problems

Final exam practice problems - MA 22300 Final Exam Practice...

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MA 22300 Final Exam Practice Problems Formulas which are provided on the final exam are at the end of this practice final. 1. Find the slope of the line containing the points ( - 2 , 4) and (6 , - 3). A. 4 B. - 7 8 C. 1 4 D. - 8 7 E. - 1 2 2. Suppose 280 tons of corn were harvested in 5 days and 940 tons in 20 days. If the relationship between tons T and days d is linear, express T as a function of d . A. T ( d ) = 5 d + 280 B. T ( d ) = - 44 d + 500 C. T ( d ) = 44 d + 60 D. T ( d ) = 60 d + 44 E. T ( d ) = 44 d - 60 3. When 30 orange trees are planted per acre each tree yields 150 oranges For each additional tree per acre, the yield decreases by 3 oranges per tree. Express the total yield of oranges per acre, Y , as a function of the number of trees planted per acre, x , if x 30. 4. A manufacturer can sell dining-room tables for \$70 apiece. The manufacturer’s total cost consists of a fixed overhead of \$8000 plus production costs of \$30 per table. How many tables must the manufacturer sell to break even? 5. If f ( x ) = x + 1 and g ( x ) = x 2 + 7 then ( f ( g ( - 1)) = 6. If f ( x ) = 2 x then f ( x + h ) - f ( x ) h = A. - 2 x 2 B. 2 x + h - 2 x C. 2 x ( x + h ) D. - 2 x ( x + h ) E. - 2 ( x + h ) 2 7. The domain of f ( x ) = 1 3 x - 1 is: 8. lim x 1 x 2 + 4 x - 5 x 2 - 1 = 9. lim x →∞ e - x = A. 0 B. 1 C. - 1 D. E. e

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