Provide an appropriate response.Use the max-min inequality to find upper and lower bounds for 
and 
. Add these to arrive at an estimate of 
.
What will be an ideal response?
If f(x) = 
on [1, 2], then max f = 1 and min f = 
.
So min f ? (2 - 1) ? 
dx ? max f ? (2 - 1) or 
? 
dx ? 1.
If f(x) = 
on [2, 3], then max f = 
and min f = 
.
So min f ? (3 - 2) ? 
dx ? max f ? (3 - 2) or 
? 
dx ? 
.
So 
+ 
? 
dx ? 1 + 
or 
? 
dx ? 
.
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Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 18 and y = x2
A. 
= 0, 
= 18
B. 
= 0, 
= 
C. 
= 0, 
= 9
D. 
= 9, 
= 0
Provide an appropriate response.The first difference of a sequence is 3, 6, 9, 12, 15, . . . Find the first six terms of the original sequence if the sum of the first two terms is 17.
A. 7, 10, 13, 16, 19, 22 B. 7, 10, 16, 25, 37, 52 C. 17, 20, 23, 26, 29, 32 D. 17, 20, 26, 35, 47, 62
Perform the indicated operation and, if possible, simplify.
+ 
A. 
B. 
C. 
D. 
Solve the problem.Use determinants to find the area of the triangle with vertices (1, 6), (4, 1), and (0, 0).
A. 12.5 B. 12.0 C. 11.5 D. 11.0