A weak earthquake occurred roughly 9 km south and 12 km west of the center of Hawthorne, Nevada. The quake could be felt 16 km away. Suppose that the origin of a map is placed at the center of Hawthorne with the positive x -axis pointing east and the positive y -axis pointing north. a. Find an inequality that describes the points on the map for which the earthquake could be felt. b. Could the earthquake be felt at the center of Hawthorne?
A weak earthquake occurred roughly 9 km south and 12 km west of the center of Hawthorne, Nevada. The quake could be felt 16 km away. Suppose that the origin of a map is placed at the center of Hawthorne with the positive x -axis pointing east and the positive y -axis pointing north. a. Find an inequality that describes the points on the map for which the earthquake could be felt. b. Could the earthquake be felt at the center of Hawthorne?
A weak earthquake occurred roughly
9
km
south and
12
km
west of the center of Hawthorne, Nevada. The quake could be felt
16
km
away. Suppose that the origin of a map is placed at the center of Hawthorne with the positive
x
-axis
pointing east and the positive
y
-axis
pointing north.
a. Find an inequality that describes the points on the map for which the earthquake could be felt.
b. Could the earthquake be felt at the center of Hawthorne?
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.
University Calculus: Early Transcendentals (4th Edition)
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