Running Head: STATS IN SCRIPTURE
1
Stats in Scripture
Lakai Hampton
Azusa Pacific University
STATS IN SCRIPTURE
2
Stats in Scripture
I selected this option because I feel as if it is important to understand how someone
should assimilate as well as stand o
Luke and Acts
1. HEADING AND COURSE INFORMATION
AZUSA PACIFIC UNIVERSITY
Division of Religion and Philosophy
Department of Biblical and Religious Studies
Course Instruction Plan
COURSE INFORMATION:
UBBL 230 16 (#13873)
Luke-Acts
Spring 2017
3 units
COURSE
School of Behavioral and Applied Sciences
Human Growth and Development PSY 290
Lauren Volpei M.A.
Spring 2017, 3 Units
Email: [email protected]
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I believe that mathematics is created by human beings, not God. The reason why for this
is because both mathematics and religion are unrelated and are two separate spheres that has no
connection to each other. I believe that mathematics is a very useful t
Chapter 2
Sec,on 2.1 and 2.2
Intro and Frequency distribu,ons
Preview
Characteris,cs of Data
1. Center: A representative value that indicates
where the middle of the data set is located.
2. Variation: A measure of the amount that the da
Worksheet 1 Solution
1. At a selling price of $17 per book, a publisher is willing to publish 5
million copies of a book while the demand is 5.7 million copies. When
the selling price is increased to $19, the supply and demand change to
6 million and 5.3
Worksheet 5 Solutions
1. The demand equation for a quantity q of a product at p dollars is
p = 4000 5q. Companies producing the product report the cost, C,
in dollars, to produce a quantity q is C = 6q + 5. What production
level earns the company the larg
Worksheet 6 Solutions
The total cost C, in thousands of dollars, of a certain production is given
by the short-run Cobb-Douglas cost curve
C(q) = 2q 3/2 + 1 ,
where 0 q 10 is the number of items in hundreds.
1. What is the xed cost of the production?
Solu
Worksheet 4 Solutions
Consider the function f (x) = 1/(x2 1) in the interval 1/2 x 1/2.
1. Find all local maxima and minima of f (x).
f (x) =
2x
= 0 2x = 0 x = 0
1)2
(x2
Using the rst or second derivative test, you can conrm that this is a
local maximum.
Worksheet 2: Exponential functions
1. The half-life of radioactive carbon-14 is about 5730 years. A fossil is
found that has 35% carbon-14 compared to the living sample. How old
is the fossil? Solve using the base e and base a exponential functions.
Solut
Worksheet 3 Solutions
1. The Bay of Fundy in Canada has the largest tides in the world. The
dierence between low and high water levels is 15 meters (nearly 50
feet). At a particular point the depth of the water, y meters, is given
as a function of time, t
Math 162 Spring 2014
Test 1 Study Sheet
You may bring 1 page of handwritten notes to the test. You may NOT use a calculator!
1. Sketch the graph of (a) a function that has an inverse, and (b) a function that doesnt
have an inverse.
2. If f (a) = b, what i
Math 162 Spring 2014
Test 2 Study Sheet
You may bring 1 page (front and back) of handwritten notes to the test. You may use a
standard scientic calculator but you may NOT use a graphing calculator!
1. Compute the integrals:
x sec2 x dx
(a)
(b)
(x2
1
dx
2
Worksheet 2 Solutions
Solve the following equations:
1. y + 4y + 3y = 0 with y(0) = 2 and y (0) = 1.
The characteristic equation is r 2 +4r+3 = 0, and the two roots are r =
1 and r = 3. Therefore the general solution is y = c1 ex + c2 e3x .
Initial condit
Worksheet 3: Method of undetermined coecients
Consider the motion of a harmonic oscillator governed by the equation
x + 2x + 2x = F (t)
where x(t) is the displacement from the rest position of oscillator. F (t)
represents the external driving force applie
Worksheet 3 Solutions
Consider the motion of a harmonic oscillator governed by the equation
x + 2x + 2x = F (t)
where x(t) is the displacement from the rest position of oscillator. F (t)
represents the external driving force applied to the oscillator.
1.
Worksheet 2: Homogeneous, linear, second order
equations with constant coecients
Solve the following equations:
1. y + 4y + 3y = 0 with y(0) = 2 and y (0) = 1.
2. y + 2y + 8y = 0 with y(0) = 1 and y (0) = 0.
3. 9y 12y + 4y = 0 with y(0) = 2 and y (0) = 1.
Worksheet 1: First order equations
For the following equations, determine whether they are linear or nonlinear
and then solve each of them.
1. xy + 2y = sin x.
2. y = x2 /y.
3. 2xy 2 + 2y + 2x2 y + 2x y = 0.
1
Worksheet 4 solutions
Solve y + 2 y = cos 2t where 2 = 4 with Laplace transform. The initial
conditions are y(0) = 1 and y (0) = 0.
Transforming the equation and applying the initial conditions gives
s
s+4
s
2
2
+s
(s + s)Y = 2
s +4
1
s
s
2 5
Y = 2
+ 2
2
Worksheet 5: Delta function
Consider the harmonic oscillator with an impulsive force y + y = (t 1).
The initial conditions are y(0) = 0 and y (0) = 0.
Solve this problem using the Laplace transform.
The homogeneous solution of the problem is yh = c1 cos
Worksheet 6: Eulers equation
1. Solve x2 y + 4xy + 2y = 0 for x > 0. What happens to y1 and y2 when
x approaches zero?
2. Solve 2x2 y 4xy + 6y = 0 for x > 0. What happens to y1 and y2
when x approaches zero?
3. Solve x2 y 3xy + 4y = 0 for x > 0. What happ