Repeat Exercise 109 for data of your choice. The data can involve the average monthly temperatures for the region where you live or any data whose scatter plot takes the form of a sinusoidal function. 109 The data show the average monthly temperatures for Washington, F.C. x (Month) Average Monthly Temperature, ∘ F 1 (January» 348 2 (February) 374 3 (March) 47 2 4 (April) 55 5 5 (May) 544 8 (June! 75.8 7 (July) 80.0 3 (August) 784 9 (September) 714 10 (October) 59 7 11 (November) 498 12 (December) 384 Source: U.S. Oceanic and Atmospheric Administration a. Use your graphing utility to draw a scatter plot of the data from x = 1 through x = 12 b. Use the SINe REGression feature to find the sinusoidal function of the form y = A sin ( B x + C ) + D that best its the data c. Use your graphing utility to draw the sinusoidal function or best fit on the scatter plot.
Repeat Exercise 109 for data of your choice. The data can involve the average monthly temperatures for the region where you live or any data whose scatter plot takes the form of a sinusoidal function. 109 The data show the average monthly temperatures for Washington, F.C. x (Month) Average Monthly Temperature, ∘ F 1 (January» 348 2 (February) 374 3 (March) 47 2 4 (April) 55 5 5 (May) 544 8 (June! 75.8 7 (July) 80.0 3 (August) 784 9 (September) 714 10 (October) 59 7 11 (November) 498 12 (December) 384 Source: U.S. Oceanic and Atmospheric Administration a. Use your graphing utility to draw a scatter plot of the data from x = 1 through x = 12 b. Use the SINe REGression feature to find the sinusoidal function of the form y = A sin ( B x + C ) + D that best its the data c. Use your graphing utility to draw the sinusoidal function or best fit on the scatter plot.
Solution Summary: The author explains how to draw a scatter plot of the data.
Repeat Exercise 109 for data of your choice. The data can involve the average monthly temperatures for the region where you live or any data whose scatter plot takes the form of a sinusoidal function.
109 The data show the average monthly temperatures for Washington, F.C.
x (Month)
Average Monthly Temperature,
∘
F
1 (January»
348
2 (February)
374
3 (March)
47 2
4 (April)
55 5
5 (May)
544
8 (June!
75.8
7 (July)
80.0
3 (August)
784
9 (September)
714
10 (October)
59 7
11 (November)
498
12 (December)
384
Source: U.S. Oceanic and Atmospheric Administration
a. Use your graphing utility to draw a scatter plot of the data from
x
=
1
through
x
=
12
b. Use the SINe REGression feature to find the sinusoidal function of the form
y
=
A
sin
(
B
x
+
C
)
+
D
that best its the data
c. Use your graphing utility to draw the sinusoidal function or best fit on the scatter plot.
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
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.
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