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Integration Misc. Optimization Sequence T/F T/F 200 200 200 200 200 400 400 400 400 400 600 600 600 600 600 800 800 800 800 800

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Page 1: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

Integration Misc. Optimization Sequence T/F T/F

200 200 200 200 200

400 400 400 400 400

600 600 600 600 600

800 800 800 800 800

Page 2: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

.

Page 3: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

.

Page 4: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

Calculate

Page 5: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

Calculate

Page 6: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

Does the following sequence converge. If so, what does it converge to?

Page 7: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800
Page 8: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

Calculate

Page 9: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800
Page 10: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

Summarize the second derivative test.

Page 11: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

T/F

Every function has an absolute minimum and an

absolute maximum.

Page 12: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800
Page 13: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

An isosceles triangle has a base of 6 units and a height of 12 units. Find the

maximum possible area of a rectangle that can be placed inside the triangle with one side resting on the base of the triangle.

What are the dimensions of the rectangle of maximum area?

Page 14: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

Every divergent sequence is unbounded.

Every convergent sequence is bounded.

Page 15: IntegrationMisc.OptimizationSequence T/FT/F 200 400 600 800

.

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If a sequence is bounded below, it cannot be strictly

decreasing.

If a sequence converges, then it cannot be

unbounded.

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