Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13.7, Problem 1PS
To determine
The relationship that the divergence theorem establish.
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EX-let d'be ametric on a vector space X induced
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a
Slab)= {od (a,
if a = b
(a,b)+is ab
Show that cannot be induced froman norm
on X.
2) let à be trivel metric show that I cannot
be induced from an norm on X-
3) let M be closed subspace of anormed spacex
Construct the space X/Mas a normed space.
4) let Mix be vector space of 2x3 matrices on R
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please do #48
43–46. Directions of change Consider the following functions f and
points P. Sketch the xy-plane showing P and the level curve through
P. Indicate (as in Figure 15.52) the directions of maximum increase,
maximum decrease, and no change for f.
■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)
Chapter 13 Solutions
Calculus
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- plese do #48arrow_forward43-46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. T 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forwardSolve the differential equation by variation of parameters 3x2y" + 7xy' + y = x2 - xarrow_forward
- Which sign makes the statement true? 9.4 × 102 9.4 × 101arrow_forwardDO these math problems without ai, show the solutions as well. and how you solved it. and could you do it with in the time spandarrow_forwardThe Cartesian coordinates of a point are given. (a) (-8, 8) (i) Find polar coordinates (r, 0) of the point, where r > 0 and 0 ≤ 0 0 and 0 ≤ 0 < 2π. (1, 0) = (r. = ([ (ii) Find polar coordinates (r, 8) of the point, where r < 0 and 0 ≤ 0 < 2π. (5, 6) = =([arrow_forward
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