Section 2.1
Slope of a Secant Line:
msec =
f ( c + x )f (c )
x
Definition of Tangent Line with Slope
If
f
lim
x 0
m :
is defined on an open interval containing
c , and if the limit
f ( c + x )f (c )
y
= lim
=m exists, then the line passing through
x x 0
PHYS110 Astronomy
Chapter 16 Homework Assignment
Due Friday, Apr. 11 at 5:00 pm
Name: Joseph Chi
Score:
/37
Questions for Review ( 2 points each):
1. Describe the look of the Milky Way in the night sky.
Ans: We will see the Milky Way as a bunch of stars i
Section 4.1
Definition of an Antiderivative:
F
A function
x
in
is an antiderivative of
f
F' ( x ) =f (x )
on an interval
I
if
I , then
G
is an antiderivative of
for all
I .
Representation of Antiderivatives:
F
is an antiderivative of
f
on the interval
x
i
-Section 3.1
Definition of Extrema:
Let
f
1.
f (c)
is the minimum of
f
on
I
if
f (c) f (x ) for all
x
in
I .
2.
f (c)
is the maximum of
f
on
I
if
f (c) f ( x )
x
in
I .
be defined on an interval
I
containing
c .
for all
The minimum and maximum of a functi
PHYS110 Astronomy
Chapter 17 Homework Assignment
Due Wednesday, April 16, midnight
Name: Joseph Chi
Score:
/50
Questions for Review (2 points each):
1. Contrast the three main types of galaxy.
Shape
stellar content
interstellar matter
Ans (elliptical): Ov
Section 1.1
Slope of the secant line:
msec =
f ( c + x )f (c ) f ( c+ x )f (c)
=
c+ xc
x
Section 1.2
lim f ( x ) =L
x c
Common Types of Behavior Associate with Nonexistence of a Limit:
f ( x)
1.
c
approaches a different number from the right side of
than
Section 5.1
Definition of the Natural Logarithmic Function:
The natural logarithmic function is defined by
x
1
ln x= dt , x >0 The domain of the natural logarithmic functions is the set of all
1 t
positive real numbers.
Properties of the Natural Logarithm
Section 6.1
Eulers Method:
x n=x n1+ h
y ' =F ( x , y )
y n= y n1 +hF ( x n1 , y n1 )
Section 6.2
Exponential Growth and Decay Model:
If
y
t
is a differentiable function of
constant
such that
y >0
and
'
y =ky , for some
k , then
kt
C
y=C e
is the initial
PHYS110 Astronomy
Chapter 15 Homework Assignment
Due Wednesday, Apr. 9, midnight
Name: Joseph Chi
Score:
/44
Questions for Review (2 points each):
1. Compare the mass of a white dwarf with that of the sun. What solar system object is
comparable in size to
PHYS110 Astronomy
Chapter 18 Homework Assignment
Due Monday, April 21, midnight
Name: Joseph Chi
Score:
/28
Questions for Review (2 points each):
1. What evidence is there that the Universe is expanding?
Ans: By using Hubbles Law, many galaxies have posit