Page 349 - Calculus Demystified

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(c) 5800 foot-pounds Final Exam
(d) 5820 foot-pounds
(e) 5810 foot-pounds
98. The average value of the function f(x) = sin x − x on the interval
[0,π] is
3 π
(a) −
π 4
2 π
(b) −
π 3
2 π
(c) −
π 2
4 π
(d) −
π 4
1 π
(e) −
π 2
3
99. The integral that equals the arc length of the curve y = x ,
1 ≤ x ≤ 4, is

4
4
(a) 1 + x dx
1

4
2
(b) 1 + 9x dx
1

4
6
(c) 1 + x dx
1

4
4
(d) 1 + 4x dx
1

4
4
(e) 1 + 9x dx
1

1 dx
100. The Simpson’s Rule approximation to the integral √ dx
0 1 + x 2
with k = 4is
(a) ≈ 0.881
(b) ≈ 0.895
(c) ≈ 0.83
(d) ≈ 0.75
(e) ≈ 0.87