The magnitude of a star named Delta Cuphea varies from an apparent magnitude of 3.6 to an apparent magnitude of 4.3 with a period of 5.4 days. At t = 0 days, the star is at its brightest with a magnitude of 3.6 (on the magnitude scale, brighter objects have a smaller magnitude than dimmer objects). Write a simple harmonic motion model to describe the magnitude M of the star for day t .
The magnitude of a star named Delta Cuphea varies from an apparent magnitude of 3.6 to an apparent magnitude of 4.3 with a period of 5.4 days. At t = 0 days, the star is at its brightest with a magnitude of 3.6 (on the magnitude scale, brighter objects have a smaller magnitude than dimmer objects). Write a simple harmonic motion model to describe the magnitude M of the star for day t .
Solution Summary: The author describes the simple harmonic motion model to describe the magnitude of the star for the day, t, for a star Delta Cephei.
The magnitude of a star named Delta Cuphea varies from an apparent magnitude of
3.6
to an apparent magnitude of
4.3
with a period of
5.4
days. At
t
=
0
days, the star is at its brightest with a magnitude of
3.6
(on the magnitude scale, brighter objects have a smaller magnitude than dimmer objects). Write a simple harmonic motion model to describe the magnitude
M
of the star for day
t
.
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
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