Section 5.2 Quick Quiz 1. Let be the region bounded by the graph of and the on the interval [a, If is positive on the R f x-axis b]. f interval [a, then b], (a) the net area of equals the area of (b) the net area of is less than the area of (c) R R. R R. the net area of is greater than the area of R R. 2. Let be the region bounded by the graph of and the on the interval [a, Which of the following R f x-axis b]. statements is true? (a) The net area of equals the area of (b) The net area of cannot exceed the area of (c) R R. R R. The net area of must exceed the area of R R. 3. The definite integral (a) gives the area of the region bounded by the graph of and the on the interval [a, f x-axis b]. (b) gives the net area of the region bounded by the graph of and the on the interval [a, (c) f x-axis b]. must be positive. 4. If and, then equals (a) 1. (b) 5. (c) -1. 5. If and, then equals (a) 0. (b) 12. (c) 9. 6. If , then (a) equals 3. (b) equals -3. (c) cannot be determined. (1/3)( 7. The sum (0) + (1) + (2)) is a left Riemann sum for f f f (b) (c) 8. (b) (c) Quick Quiz 5.2 Answers la 2b 3b 4a 5b 6c 7a 8c Section 5.3 Quick Quiz 1. If is an area function for and is any antiderivative of then A f F f,
Section 5.2 Quick Quiz 1. Let R be the region bounded by the graph of f and the x-axis on the interval [a, b]. If f is positive on the interval [a, b], then (a) the net area of R equals the area of R. (b) the net area of R is less than the area of R. (c) the net area of R is greater than the area of R. 2. Let R be the region bounded by the graph of f and the x-axis on the interval [a, b]. Which of the following statements is true? (a) The net area of R equals the area of R. (b) The net area of R cannot exceed the area of R. (c) The net area of R must exceed the area of R. 3. The definite integral (a) gives the area of the region bounded by the graph of f and the x-axis on the interval [a, b]. (b) gives the net area of the region bounded by the graph of f and the x-axis on the interval [a, b]. (c) must be positive. 4. If and, then equals (a) 1. (b) 5. (c) -1. 5. If and, then equals (a) 0. (b) 12. (c) 9. 6. If , then (a) equals 3. (b) equals -3. (c) cannot be determined. 7. The sum (1/3)( f (0) + f (1) + f (2)) is a left Riemann sum for (b) (c) 8. (b) (c) Quick Quiz 5.2 Answers la 2b 3b 4a 5b 6c 7a 8c Section 5.3 Quick Quiz 1. If A is an area function for f and F is any antiderivative of f, then