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Chapter 10: Q .39. (page 835)

Use the result of Exercise 35 to find parametric equations for the line segment connecting point P to point Q.
$P (3, - 1, 4), Q (- 1, 5, 9)$

Short Answer

Expert verified

Step by step solution

Sep 1:Given information

the line segment connecting point P to point Q.

$P (3, - 1, 4), Q (- 1, 5, 9)$

Step 2:Calculation

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Most popular questions from this chapter

Consider the sequence of sums $\frac{1}{3}, \frac{1}{3} + \frac{1}{9}, \frac{1}{3} + \frac{1}{9} + \frac{1}{27}, \frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \frac{1}{81}, \dots$

(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 22–29 compute the indicated quantities when $u = (2, 1, - 3), v = (4, 0, 1), and w = (- 2, 6, 5)$

localid="1649405204459" role="math" $(u \times v) \cdot w and u \cdot (v \times w)$

Suppose f and g are functions such that $\lim_{x \to 3} f (x) = 5, \lim_{x \to 4} f (x) = 2$ and $\lim_{x \to 3} g (x) = 4$

Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.

$\lim_{x \to 3} - 2 f (x)$

Find $u + v$ and $u - v$ . Also sketch $u, v, u + v$ and $u - v$ .

role="math" localid="1649578020551" $u = (3, - 4) a n d v = (- 1, 5)$

What is Lagrange’s identity? How is it used to understand the geometry of the cross product?

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Use the result of Exercise 35 to find parametric equations for the line segment connecting point P to point Q.P(3,-1,4),Q(-1,5,9)

Short Answer

Step by step solution

Sep 1:Given information

Step 2:Calculation

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Use the result of Exercise 35 to find parametric equations for the line segment connecting point P to point Q.
$P (3, - 1, 4), Q (- 1, 5, 9)$