Calculus ;

2.

2. [0.07/0.13 Points] l MYNC 9 The table gives the values of a function obtained from an experiment. Use them to estimate / f(x) dx using three equal subintervals with right endpoints, left endpoints, and midpoints. 3 x 3|4 5|6 9 rm 3.5 | -2.3 -0.7| 0.2 1.8 9 (a) Estimate / f(x) dx using three equal subintervals with right endpoints. 3 R3= If the function is known to be an increasing function, can you say whether your estimate is less than or greater than the exact value of the integral? less than c greater than one cannot say M/ 9 (b) Estimate / f(x) dx using three equal subintervals with left endpoints. 3 L3: If the function is known to be an increasing function, can you say whether your estimate is less than or greater than the exact value of the integral? 0 less than greater than one cannot say V/ 9 (c) Estimate / f(x) dx using three equal subintervals with midpoints. 3 M3: If the function is known to be an increasing function, can you say whether your estimate is less than or greater than the exact value of the integral? ' less than greater than 0 one cannot say \\J/ Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 80 fsindx, n=4 0 Need Help? _ Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 1r/2 / 2cos3xdx,n=4 0 M4 = Need Help? Express the limit as a denite integral on the given interval. cosx- lim ' Ax, 3n,61r \"a... 2X [ ] ES\" Need Help?' 6. [-/0.06 Points] DETAILS SESSCALC2 4.2.025. Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.) lim 7 - 00 Need Help? Read It Watch It 7. [-/0.08 Points] DETAILS SESSCALC2 4.2.029. The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y = f(x) 14 X 0 14 28 42 56 14 (a) f ( x ) dx ( b ) 35 F ( x ) dx (c) as (( x ) dx ( d ) (63 f ( x ) dx