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Chapter 10: Q. 15 (page 777)

dsfgh
$$\int 56$$

Short Answer

Expert verified

dfggn

Step by step solution

01

Step 1. Given information

defsrghty

02

Step 2. Explanation

cszvdfbgnh

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Most popular questions from this chapter

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

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

In Exercises 30–35 compute the indicated quantities when $u = (- 3, 1, - 4), v = (2, 0, 5), and w = (1, 3, 13)$

Find the volume of the parallelepiped determined by the vectors u, v, and w.

In Exercises 24-27, find ${comp}_{u} v, {proj}_{u} v$ and the component of v orthogonal tou.

role="math" localid="1649693816584" $u = <3, 1, - 2>, v = <- 6, - 2, 4>$

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" $(u \times v) \cdot w and u \cdot (v \times w)$

Prove the first part of Theorem $1.31$ (a): If $k > 0$ , then $\lim_{x \to \infty} x^{k} = \infty$ . (Hint: Given $M > 0$ , choose $N = M^{1 / k}$ . Then show that for $x > N$ it must follow that $x^{k} > M$ .)

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