9-12 all
Skills Warm-up Exercises In Problems 1-8.use geometric formulas to find the area between the graphs of y=f(xand y=gxoverthe indicated interval.If necessaryreview Appendix C 1.fx=60,gx=45;[2,12] 2.fx=-30gx=20[-3,6]
13.Explain whyhxdx does not represent the area between the graph of y=h(xand thex axis fromx=a tox=b in Figure C. 14.Explain why[-hx]dx represents the area between the graph of y=hxand thex axis fromx=a tox=b in Figure C. f(x) g(x
3.fx=6+2xgx=6-x[0.5]
fx
4.fx=0.5xgx=0.5x-4[0,8]
5.fx=-3-xgx=4+2x;[-1,2] 6.fx=100-2xgx=10+3x[5,10] 7.fx=x3x=V4-x2[0,V2] 8.fx=V16-x2gx=|x;[-2V2,2V2]
6
(A)
(B)
h(x)
F(x)
Problems 9-14 refer to Figures A-D.Set up definite integrals in Problems 9-12 that represent the indicated shaded area. 9. Shaded area in Figure B 10. Shaded area in Figure A 11. Shaded area in Figure C 12. Shaded area in Figure D
b
hx
Fx
(C)
(D)
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