PROF. A. SUCIU

MTH 1108 -- Foundations of Integral Calculus -- Spring 1999

Answers to Quiz 4


Problem 1

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr1.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr3.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr4.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr5.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr6.gif]

FilledPlot[{h[x],average},{x,a,b}]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr7.gif]

Problem 2

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr8.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr9.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr10.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr11.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr12.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr13.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr14.gif]

FilledPlot[y[x],{x,a,b},Fills->[Graphics:1108.q8gr15.gif]RGBColor[0.5,0.2,0.3]}]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr16.gif]

SurfaceOfRevolution[y[x],{x,a,b},RevolutionAxis->{1,0,1}]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr17.gif]

Problem 3

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr18.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr19.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr20.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr21.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr22.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr23.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr24.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr25.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr26.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr27.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr28.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr29.gif]

Plot[y[x],{x,-1,14},PlotPoints->1000,AspectRatio->0.5,
Background->RGBColor[1,1,0.9], GridLines->Automatic]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr30.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr31.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr32.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr33.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr34.gif]

[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr35.gif]
[Graphics:1108.q8gr2.gif][Graphics:1108.q8gr36.gif]