Two planets follow a circular orbit around a central star in the same plane. The distance between the star at point S and one planet at point A is 135 million miles. The distance between the star and the other planet at point B is 100 million miles. If an observer on the first planet at point A sights the second planet such that ∠ S A B = 42 ° find the distance between the planets. Round to the nearest million miles.
Two planets follow a circular orbit around a central star in the same plane. The distance between the star at point S and one planet at point A is 135 million miles. The distance between the star and the other planet at point B is 100 million miles. If an observer on the first planet at point A sights the second planet such that ∠ S A B = 42 ° find the distance between the planets. Round to the nearest million miles.
Solution Summary: The author calculates the distance between both the planets by drawing a rough sketch for the conditions and labeling the sides and angles.
Two planets follow a circular orbit around a central star in the same plane. The distance between the star at point
S
and one planet at point
A
is
135
million miles. The distance between the star and the other planet at point
B
is
100
million miles. If an observer on the first planet at point
A
sights the second planet such that
∠
S
A
B
=
42
°
find the distance between the planets. Round to the nearest million miles.
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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.