A special chessboard is 2 squares wide and n squares long. Using
n dominoes that are...
A special chessboard is 2 squares wide and n squares long. Using
n dominoes that are 1 square by 2 squares, there are many ways to
completely cover this chessboard with no overlap. How many are
there? Prove your answer.
C Programming Language.
A chessboard consists of 8 squares x 8 squares for a
total of 64 squares. The squares of the chessboard are identified,
from the perspective of the player with the white pieces, by the
letters a – h for the 8 columns or files (starting from that
player’s left), and 1 – 8 for the 8 rows or ranks (starting closest
to that player). One of the chess pieces, the knight, can move in
any direction by...
One
rook is placed in some unit squares of a 100 × 100 chessboard.
Castles in the same row or in the same column, with no other
castles threaten each other. Regardless of the number and location
of the castles, if any two castles that threaten each other can be
in different colors, what is the smallest value of the number n
that can always be painted in one of n colors?
The problem of placing k queens in an n×n chessboard. In this
problem, you will be considering the problem of placing k knights
in a n × n chessboard such that no two knights can attack each
other. k is given and k ≤ n2.
a) Formulate this problem as a Constraint Satisfaction Problem.
What are the variables?
b) What is the set of possible values for each variable?
c) How are the set of variables constrained?
Logic/ Game theoryLet f(n) count the different perfect covers of
a 2-by-n chessboard by dominoes. Evaluate f(1),f(2),f(3),f(4), and
f(5). Try and find (and verify) a simple relation that the counting
function f satisfies. Compute f(12) using the relation.
Here is a solution it is titled exercise 4a.) in the packet on page
3:
http://jade-cheng.com/uh/coursework/math-475/homework-01.pdf
Not sure on how to follow the logic.
A trapezoidal tough is 10 ft long, 4 ft wide at the top, 2 ft
wide at the bottom and 2 ft deep. If water flows in the 10 ft^3/
min, find how fast the surface is rising, when the water is 6 in
deep. How fast the water surface is rising when the water is 1 foot
deep.
THIS IS JAVA
Magic squares.
An n × n matrix that is filled with the numbers 1, 2, 3, . . .,
n^2 is a magic square if the sum of the elements in each row, in
each column, and in the two diagonals is the same value.
Write a program that randomly generates 16
numbers, and it assigns them to the array after testing
that the number was not already assigned. The program should test
whether they form a...
A rectangular piece of metal is 30in longer than it is wide.
Squares with sides 6in long are cut from the four corners and the
flaps are folded upward to form an open box. If the volume of the
box is 2706incubed3, what were the original dimensions of the
piece of metal?
what is the original width?
what is the original length?
A straight line is fitted to some data using least squares.
Summary statistics are below. n=10, $\bar{x}=$5, $\bar{y}=$12,
SSxx=142, SSxy=123, SSyy=155 The least squares intercept and slope
are 7.65 and 0.87, respectively, and the ANOVA table is below.
Source
DF
SS
MS
Regression
1
106.54
106.54
Residual
8
48.46
6.06
Total
9
155
Compute a 95% confidence interval for the mean response
when x=8.What is the critical value from the
table? 2.3060 [1 pt(s)]
You are correct.
Your receipt no....
Write an examples for each of the three special types of
binomial (difference of squares, difference of cubes, and sum of
cubes). Factor each of them and share your results.