Chapter 10: Q. 93 (page 777)
Write a delta–epsilon proof that proves that is continuous on its domain. In each case, you will need to assume that δ is less than or equal to .
Short Answer
Ans: is continuous on its domain (continuous for all )
Chapter 10: Q. 93 (page 777)
Write a delta–epsilon proof that proves that is continuous on its domain. In each case, you will need to assume that δ is less than or equal to .
Ans: is continuous on its domain (continuous for all )
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In Exercises 36–41 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.
(Hint: Think of the -plane as part of .)
Suppose f and g are functions such that and
Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.
In Exercises 30–35 compute the indicated quantities when
Find the area of the parallelogram determined by the vectors u and v.
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