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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.

Calculate

Calculate

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

Calculate

Summarize the second derivative test.

T/F

Every function has an absolute minimum and an

absolute maximum.

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?

Every divergent sequence is unbounded.

Every convergent sequence is bounded.

.

If a sequence is bounded below, it cannot be strictly

decreasing.

If a sequence converges, then it cannot be

unbounded.