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Let ​ Use a Riemann Sum with Four Subintervals

Question 174

Multiple Choice

Let Let ​ Use a Riemann sum with four subintervals of equal length ( ) to approximate the area of R (under the graph of f on the interval [0, 2]) . Choose the representative points to be the left end points of the subintervals. ​ Repeat previous part with eight subintervals of equal length ( ) . ​ Compare the approximations obtained in previous parts with the exact area (4 sq units) . Do the approximations improve with larger n? ​ A) 4.8 sq units; 4.4 sq units; yes B) 4.4 sq units; 4.8 sq units; yes C) 4.8 sq units; 4.4 sq units; no D) 4.4 sq units; 4.8 sq units; no ​ Use a Riemann sum with four subintervals of equal length ( Let ​ Use a Riemann sum with four subintervals of equal length ( ) to approximate the area of R (under the graph of f on the interval [0, 2]) . Choose the representative points to be the left end points of the subintervals. ​ Repeat previous part with eight subintervals of equal length ( ) . ​ Compare the approximations obtained in previous parts with the exact area (4 sq units) . Do the approximations improve with larger n? ​ A) 4.8 sq units; 4.4 sq units; yes B) 4.4 sq units; 4.8 sq units; yes C) 4.8 sq units; 4.4 sq units; no D) 4.4 sq units; 4.8 sq units; no ) to approximate the area of R (under the graph of f on the interval [0, 2]) . Choose the representative points to be the left end points of the subintervals.
​
Repeat previous part with eight subintervals of equal length ( Let ​ Use a Riemann sum with four subintervals of equal length ( ) to approximate the area of R (under the graph of f on the interval [0, 2]) . Choose the representative points to be the left end points of the subintervals. ​ Repeat previous part with eight subintervals of equal length ( ) . ​ Compare the approximations obtained in previous parts with the exact area (4 sq units) . Do the approximations improve with larger n? ​ A) 4.8 sq units; 4.4 sq units; yes B) 4.4 sq units; 4.8 sq units; yes C) 4.8 sq units; 4.4 sq units; no D) 4.4 sq units; 4.8 sq units; no ) .
​
Compare the approximations obtained in previous parts with the exact area (4 sq units) . Do the approximations improve with larger n?
​


A) 4.8 sq units; 4.4 sq units; yes
B) 4.4 sq units; 4.8 sq units; yes
C) 4.8 sq units; 4.4 sq units; no
D) 4.4 sq units; 4.8 sq units; no

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