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.
?
__________ sq units
?
Repeat previous part with eight subintervals of equal length 
.
?
__________ sq units
?
Compare the approximations obtained in previous parts with the exact area (14 sq units). Do the approximations improve with larger n?
What will be an ideal response?
10.5; 12.25; yes
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Integrate the function.
dx
A. 
ln 
+ C
B. - 
ln 
+ C
C. 
ln 
+ C
D. - 
ln 
+ C
Use f(x) to complete the table for f-1(x).f(x) = x3 + 3
A. 
B. 
C. 
D. 
Perform the indicated operations and simplify the result. Leave the answer in factored form.
÷ 
A. 
B. 
C. 
D. 
If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.21x2 - 91x - 70
A. 21x2 - 91x - 70 B. 7(3x + 2)(x - 5) C. 7(3x - 2)(x + 5) D. (21x + 14)(x - 5)