Chapter 10: Q 12 (page 801)
Find a vector parallel to but half as long and pointing in the opposite direction.
The required vector is:
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Find the norm of the vector.
A function f that satisfies the hypotheses of Rolle’s Theorem on [−2, 2] and for which there are exactly three values c ∈ (−2, 2) that satisfy the conclusion of the theorem .
Consider the function f shown in the graph next at the right. Use the graph to make a rough estimate of the average value of f on [−4, 4], and illustrate this average value as a height on the graph.
Calculate each of the limits:
.
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