Chapter 10: Q. 15 (page 777)
If an object is moving along the graph of a vector function
$$r(t)$$ defined on an interval $$[a, b]$$, how can the distance the
object travels from $$t = a$$ to $$t = b$$ be calculated?
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In Exercises 22โ29 compute the indicated quantities when
Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition with a graph or algebraic example, if possible.
the formal, and NโM definitions of the limit statements and, respectively
In Exercises 22โ29 compute the indicated quantities when
Find the area of the parallelogram determined by the vectors v and w.
Use limit rules and the continuity of power functions to prove that every polynomial function is continuous everywhere.
In Exercises 36โ41 use the given sets of points to find:
(a) A nonzero vector N perpendicular to the plane determined by the points.
(b) Two unit vectors perpendicular to the plane determined by the points.
(c) The area of the triangle determined by the points.
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