Applied Calculus, 6e WileyPLUS + Loose-leaf
6th Edition
ISBN: 9781119408901
Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath
Publisher: Wiley (WileyPLUS Products)
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Chapter 2, Problem 21SYU
To determine
Indicate whether the statement is true or false.
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3.1 Limits
1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice.
x+3°
x+3*
x+3
(a) Is 5
(c) Does not exist
(b) is 6
(d) is infinite
1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
Chapter 2 Solutions
Applied Calculus, 6e WileyPLUS + Loose-leaf
Ch. 2.1 - Prob. 1PCh. 2.1 - Prob. 2PCh. 2.1 - Prob. 3PCh. 2.1 - Prob. 4PCh. 2.1 - Prob. 5PCh. 2.1 - Prob. 6PCh. 2.1 - Prob. 7PCh. 2.1 - Prob. 8PCh. 2.1 - Prob. 9PCh. 2.1 - Prob. 10P
Ch. 2.1 - Prob. 11PCh. 2.1 - Prob. 12PCh. 2.1 - Prob. 13PCh. 2.1 - Prob. 14PCh. 2.1 - Prob. 15PCh. 2.1 - Prob. 16PCh. 2.1 - Prob. 17PCh. 2.1 - Prob. 18PCh. 2.1 - Prob. 19PCh. 2.1 - Prob. 20PCh. 2.1 - Prob. 21PCh. 2.1 - Prob. 22PCh. 2.1 - Prob. 23PCh. 2.1 - Prob. 24PCh. 2.1 - Prob. 25PCh. 2.1 - Prob. 26PCh. 2.1 - Prob. 27PCh. 2.1 - Prob. 28PCh. 2.1 - Prob. 29PCh. 2.1 - Prob. 30PCh. 2.1 - Prob. 31PCh. 2.1 - Prob. 32PCh. 2.1 - Prob. 33PCh. 2.1 - Prob. 34PCh. 2.1 - Prob. 35PCh. 2.1 - Prob. 36PCh. 2.1 - Prob. 37PCh. 2.1 - Prob. 38PCh. 2.1 - Prob. 39PCh. 2.1 - Prob. 40PCh. 2.1 - Prob. 41PCh. 2.2 - Prob. 1PCh. 2.2 - Prob. 2PCh. 2.2 - Prob. 3PCh. 2.2 - Prob. 4PCh. 2.2 - Prob. 5PCh. 2.2 - Prob. 6PCh. 2.2 - Prob. 7PCh. 2.2 - Prob. 8PCh. 2.2 - Prob. 9PCh. 2.2 - Prob. 10PCh. 2.2 - Prob. 11PCh. 2.2 - Prob. 12PCh. 2.2 - Prob. 13PCh. 2.2 - Prob. 14PCh. 2.2 - Prob. 15PCh. 2.2 - Prob. 16PCh. 2.2 - Prob. 17PCh. 2.2 - Prob. 18PCh. 2.2 - Prob. 19PCh. 2.2 - Prob. 20PCh. 2.2 - Prob. 21PCh. 2.2 - Prob. 22PCh. 2.2 - Prob. 23PCh. 2.2 - Prob. 24PCh. 2.2 - Prob. 25PCh. 2.2 - Prob. 26PCh. 2.2 - Prob. 27PCh. 2.2 - Prob. 28PCh. 2.2 - Prob. 29PCh. 2.2 - Prob. 30PCh. 2.2 - Prob. 31PCh. 2.2 - Prob. 32PCh. 2.2 - Prob. 33PCh. 2.2 - Prob. 34PCh. 2.2 - Prob. 35PCh. 2.3 - Prob. 1PCh. 2.3 - Prob. 2PCh. 2.3 - Prob. 3PCh. 2.3 - Prob. 4PCh. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - Prob. 9PCh. 2.3 - Prob. 10PCh. 2.3 - Prob. 11PCh. 2.3 - Prob. 12PCh. 2.3 - Prob. 13PCh. 2.3 - Prob. 14PCh. 2.3 - Prob. 15PCh. 2.3 - Prob. 16PCh. 2.3 - Prob. 17PCh. 2.3 - Prob. 18PCh. 2.3 - Prob. 19PCh. 2.3 - Prob. 20PCh. 2.3 - Prob. 21PCh. 2.3 - Prob. 22PCh. 2.3 - Prob. 23PCh. 2.3 - Prob. 24PCh. 2.3 - Prob. 25PCh. 2.3 - Prob. 26PCh. 2.3 - Prob. 27PCh. 2.3 - Prob. 28PCh. 2.3 - Prob. 29PCh. 2.3 - Prob. 30PCh. 2.3 - Prob. 31PCh. 2.3 - Prob. 32PCh. 2.3 - Prob. 33PCh. 2.3 - Prob. 34PCh. 2.3 - Prob. 35PCh. 2.3 - Prob. 36PCh. 2.3 - Prob. 37PCh. 2.3 - Prob. 38PCh. 2.3 - Prob. 39PCh. 2.3 - Prob. 40PCh. 2.3 - Prob. 41PCh. 2.3 - Prob. 42PCh. 2.3 - Prob. 43PCh. 2.3 - Prob. 44PCh. 2.3 - Prob. 45PCh. 2.3 - Prob. 46PCh. 2.3 - Prob. 47PCh. 2.3 - Prob. 48PCh. 2.3 - Prob. 49PCh. 2.3 - Prob. 50PCh. 2.3 - Prob. 51PCh. 2.3 - Prob. 52PCh. 2.3 - Prob. 53PCh. 2.3 - Prob. 54PCh. 2.3 - Prob. 55PCh. 2.3 - Prob. 56PCh. 2.3 - Prob. 57PCh. 2.3 - Prob. 58PCh. 2.3 - Prob. 59PCh. 2.3 - Prob. 60PCh. 2.3 - Prob. 61PCh. 2.3 - Prob. 62PCh. 2.3 - Prob. 63PCh. 2.3 - Prob. 64PCh. 2.3 - Prob. 65PCh. 2.3 - Prob. 66PCh. 2.3 - Prob. 67PCh. 2.3 - Prob. 68PCh. 2.3 - Prob. 69PCh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 5PCh. 2.4 - Prob. 6PCh. 2.4 - Prob. 7PCh. 2.4 - Prob. 8PCh. 2.4 - Prob. 9PCh. 2.4 - Prob. 10PCh. 2.4 - Prob. 11PCh. 2.4 - Prob. 12PCh. 2.4 - Prob. 13PCh. 2.4 - Prob. 14PCh. 2.4 - Prob. 15PCh. 2.4 - Prob. 16PCh. 2.4 - Prob. 17PCh. 2.4 - Prob. 18PCh. 2.4 - Prob. 19PCh. 2.4 - Prob. 20PCh. 2.4 - Prob. 21PCh. 2.4 - Prob. 22PCh. 2.4 - Prob. 23PCh. 2.4 - Prob. 24PCh. 2.4 - Prob. 25PCh. 2.4 - Prob. 26PCh. 2.4 - Prob. 27PCh. 2.4 - Prob. 28PCh. 2.4 - Prob. 29PCh. 2.4 - Prob. 30PCh. 2.4 - Prob. 31PCh. 2.4 - Prob. 32PCh. 2.4 - Prob. 33PCh. 2.4 - Prob. 34PCh. 2.4 - Prob. 35PCh. 2.4 - Prob. 36PCh. 2.5 - Prob. 1PCh. 2.5 - Prob. 2PCh. 2.5 - Prob. 3PCh. 2.5 - Prob. 4PCh. 2.5 - Prob. 5PCh. 2.5 - Prob. 6PCh. 2.5 - Prob. 7PCh. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.5 - Prob. 10PCh. 2.5 - Prob. 11PCh. 2.5 - Prob. 12PCh. 2.5 - Prob. 13PCh. 2.5 - Prob. 14PCh. 2.5 - Prob. 15PCh. 2.5 - Prob. 16PCh. 2.5 - Prob. 17PCh. 2.5 - Prob. 18PCh. 2.5 - Prob. 19PCh. 2 - Prob. 1SYUCh. 2 - Prob. 2SYUCh. 2 - Prob. 3SYUCh. 2 - Prob. 4SYUCh. 2 - Prob. 5SYUCh. 2 - Prob. 6SYUCh. 2 - Prob. 7SYUCh. 2 - Prob. 8SYUCh. 2 - Prob. 9SYUCh. 2 - Prob. 10SYUCh. 2 - Prob. 11SYUCh. 2 - Prob. 12SYUCh. 2 - Prob. 13SYUCh. 2 - Prob. 14SYUCh. 2 - Prob. 15SYUCh. 2 - Prob. 16SYUCh. 2 - Prob. 17SYUCh. 2 - Prob. 18SYUCh. 2 - Prob. 19SYUCh. 2 - Prob. 20SYUCh. 2 - Prob. 21SYUCh. 2 - Prob. 22SYUCh. 2 - Prob. 23SYUCh. 2 - Prob. 24SYUCh. 2 - Prob. 25SYUCh. 2 - Prob. 26SYUCh. 2 - Prob. 27SYUCh. 2 - Prob. 28SYUCh. 2 - Prob. 29SYUCh. 2 - Prob. 30SYUCh. 2 - Prob. 31SYUCh. 2 - Prob. 32SYUCh. 2 - Prob. 33SYUCh. 2 - Prob. 34SYUCh. 2 - Prob. 35SYUCh. 2 - Prob. 36SYUCh. 2 - Prob. 37SYUCh. 2 - Prob. 38SYUCh. 2 - Prob. 39SYUCh. 2 - Prob. 40SYUCh. 2 - Prob. 41SYUCh. 2 - Prob. 42SYUCh. 2 - Prob. 43SYUCh. 2 - Prob. 44SYUCh. 2 - Prob. 45SYUCh. 2 - Prob. 46SYUCh. 2 - Prob. 47SYUCh. 2 - Prob. 48SYUCh. 2 - Prob. 49SYUCh. 2 - Prob. 50SYUCh. 2 - Prob. 51SYUCh. 2 - Prob. 52SYUCh. 2 - Prob. 53SYUCh. 2 - Prob. 54SYUCh. 2 - Prob. 55SYUCh. 2 - Prob. 1FOTCh. 2 - Prob. 2FOTCh. 2 - Prob. 3FOTCh. 2 - Prob. 4FOTCh. 2 - Prob. 5FOTCh. 2 - Prob. 6FOTCh. 2 - Prob. 7FOTCh. 2 - Prob. 8FOTCh. 2 - Prob. 9FOTCh. 2 - Prob. 10FOTCh. 2 - Prob. 11FOTCh. 2 - Prob. 12FOTCh. 2 - Prob. 13FOTCh. 2 - Prob. 14FOTCh. 2 - Prob. 15FOTCh. 2 - Prob. 16FOTCh. 2 - Prob. 17FOTCh. 2 - Prob. 18FOTCh. 2 - Prob. 19FOTCh. 2 - Prob. 20FOTCh. 2 - Prob. 21FOTCh. 2 - Prob. 22FOTCh. 2 - Prob. 23FOTCh. 2 - Prob. 24FOTCh. 2 - Prob. 25FOTCh. 2 - Prob. 26FOTCh. 2 - Prob. 27FOTCh. 2 - Prob. 28FOTCh. 2 - Prob. 29FOTCh. 2 - Prob. 30FOTCh. 2 - Prob. 31FOTCh. 2 - Prob. 32FOTCh. 2 - Prob. 33FOTCh. 2 - Prob. 34FOTCh. 2 - Prob. 35FOTCh. 2 - Prob. 36FOTCh. 2 - Prob. 37FOTCh. 2 - Prob. 38FOTCh. 2 - Prob. 39FOTCh. 2 - Prob. 40FOTCh. 2 - Prob. 41FOTCh. 2 - Prob. 42FOTCh. 2 - Prob. 43FOT
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