Chapter 10: Q .13. (page 834)
Find the points where the line
intersects each of the coordinate planes
Chapter 10: Q .13. (page 834)
Find the points where the line
intersects each of the coordinate planes
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Get started for freeConsider the sequence of sums
(a) What happens to the terms of this sequence of sums as k gets larger and larger?
(b) Find a sufficiently large value of k which will guarantee that every term past the kth term of this sequence of sums is in the interval (0.49999, 0.5).
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 .)
If u and v are nonzero vectors in , what is the geometric relationship between and ?
Find a unit vector in the direction opposite to.
Use the Intermediate Value Theorem to prove that every cubic function has at least one real root. You will have to first argue that you can find real numbers a and b so that f(a) is negative and f(b) is positive.
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