M647 Spring 2016 Assignment 7, due Monday Mar. 28
1. [10 pts] Use dimensional analysis to determine a general form for the radius of a crater
created by a meteor impact, assuming the radius depends only on energy of impact E, ground
density , and gravity
M612 Review for Final
As specified in the course syllabus, the final exam for M612 will be Tuesday, May 12, 10:30
a.m. 12:30 p.m. in Blocker 163 (our usual classroom). The exam will cover all material
after Fourier transforms, beginning with our discussio
Ballistics Project
Due Friday, November 8
M442, Fall 2013
1
Overview
Ballistics is the science of projectile motion and impact, phenomena well described by Newtonian mechanics. The number of applications of this type of analysis is staggering, ranging
fro
M647, Spring 2017, Practice Problems for the Midterm
The midterm for M647 will be Wednesday March 8, 7:00-9:00 p.m. in Blocker 122 (the
regular classroom). The exam will cover the following topics: linear and nonlinear regression,
including theory and MAT
M647 Spring 2017 Assignment 1, due Friday Jan. 27
1. [10 pts] For each of the parts below, turn in a hardcopy (i.e., printed) record of both
your MATLAB commands and MATLABs output. (You can use diary files, M-files, or Live
Script.) Also print out any fi
Ballistics Project, (partial) Example Report
Name Here
August 5, 2016
1
Overview
In this project we model the trajectories of a projectile launched at constant velocity and at angles of
inclination ranging from 5 to 85 degrees. Working initially under the
M647 Spring 2017 Assignment 10, due Monday Apr. 17
1. [10 pts] Solve the following.
a. The ODE
dy
= x2 y 2 ; y(0) = 1,
dx
has the solution y(x) = 1/(1 x3 /3). Solve this equation with MATLABs built-in solver
ode45.m, and adjust RelTol and AbsTol to obtain
M647 Spring 2016 Assignment 8, due Friday Apr. 1
1. [10 pts] Suppose y(t) denotes the number of individuals in a population, and the growth
depends on the growth constant r (with [r] = T 1 ), the carrying capacity K (with
rate dy
dt
[K] = B = biomass), an
M647 Spring 2016 Assignment 9, due Friday April 8
1. [10 pts] Solve the following:
a. Before proving Buckinghams Theorem, we worked through the steps of the proof with
our example in which an object is fired directly up from a height h. During that calcua
M647 Spring 2017, Assignment 2, due Friday Feb. 3
1. [10 pts] In developing our method of least-squares regression, we measured the distance
between data points and the best-fit curve by vertical distance. In the case of a line, we
could just as easily ha
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the explanation is my own and reflects my understanding of the question. (Sign to indicate agreement).
Notebook Explanation 7 M
Name: Amanda Rice
Seat: 33
On my honor as an Aggie, I have neither given nor received any unauthorized aid on this assignment. I attest that
the explanation is my own and reflects my understanding of the question. (Sign to indicate agreement).
Notebook Ex
Name _ Seat _
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the explanation is my own and reflects my understanding of the question. (Sign to indicate agreement).
Notebook Explanation 4 M
Name: Amanda Rice
Seat:33
On my honor as an Aggie, I have neither given nor received any unauthorized aid on this assignment. I attest that
the explanation is my own and reflects my understanding of the question. (Sign to indicate agreement).
Notebook Exp
`Name _ Seat _
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the explanation is my own and reflects my understanding of the question. (Sign to indicate agreement).
Notebook Explanation 1
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the explanation is my own and reflects my understanding of the question. (Sign to indicate agreement).
Notebook Explanation 5 M
Amanda Rice (yellow)
Logan Lyda
Christie Johnson
Madison Munoz
Group Explanation 2
To begin, I would use a simple method, such as the set model, to show the student how to get
72 3 . I would draw three boxes and have the student draw one circle in each bo
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the explanation is my own and reflects my understanding of the question. (Sign to indicate agreement).
Notebook Explanation 6 M
Name _ Seat _
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the explanation is my own and reflects my understanding of the question. (Sign to indicate agreement).
a)
Notebook Explanation
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the explanation is my own and reflects my understanding of the question. (Sign to indicate agreement).
Notebook Explanation 8 M
%Brent Perry, Victor Ma, Bryce Gutierrez
%CH5#11
%create x-value arrays 1&2
x=-1:.1:2.9;
x2=3.1:.1:7;
eperate versions of Y for each x array
y=(x.^2)-5*x-12)./(x.^2)-x-6);
y2=(x2.^2)-5*x2-12)./(x2.^2)-x2-6);
%plots figure of each graph
figure
plot(x,y,x2,
%Brent Perry, Victor Ma, Bryce Gutierrez
%CH4#5
ets values for the constant variables
H=50;
L=120;
W=500;
X=10;
0or loop runs 6 iterations adding 20 to x each time
for i=1:6;
T=(W*L*sqrt(H.^2)+(X.^2)/(H*X);
fprintf('T(X=0) is equal to 0 Newtons\n',X,T)
X=
%Brent Perry, Victor Ma, Bryce Gutierrez
%CH1#17
ets a & b length and the y degrees
a=5;
b=7;
y=25;
olve for side length c
c=sqrt(a.^2)+(b.^2)-2*a*b*cosd(y)
0ind angles for A & B
A=atan(a/b)
B=atan(b/a)
c =
3.2494
A =
0.6202
B =
0.9505
Published with MATL
%Brent Perry, Victor Ma, Bryce Gutierrez
%CH1#38
%establish values for following variables
N=0;
t1=0;
%create loop to add up until t1 causes N=40
while N<40
N=20*exp(.15*t1);
t1=t1+.001;
end
0isplays the value of t1
disp('t1=')
disp(t1)
0inds value of tim
%Brent Perry, Victor Ma, Bryce Gutierrez
%CH11#16
ymbolize X value
syms x
%interation for A
A=int(x^3)/sqrt(1-x^2)
%integration for B
B=int(cos(x)^2)/(1+sin(x)^2)
A =
-(1 - x^2)^(1/2)*(x^2 + 2)/3
B =
2^(1/2)*(x - atan(tan(x) - x + 2^(1/2)*atan(2^(1/2)*tan