Thanks for the reply.
Yeah I know the dx and dy are backwards...it's just the generic formula we were given. Sorry for any confusion.
I did expand the expression under the radical and came up with the same expansion you did, but I still could not see a good way to integrate it.
That's...
Homework Statement
Find the length of the curve
x = 3 y^{4/3}-\frac{3}{32}y^{2/3}, \quad -64\le y\le 64
Homework Equations
Integral for arc length (L):
L = \int_a^b \sqrt{1 + (\frac{dy}{dx})^{2}} dx
The Attempt at a Solution
Using symmetry of the interval and the above integral for arc...
Homework Statement
Find a basis for the subset S = {(1, 2, 1), (2, 1, 3), (1, -4, 3)}
Homework Equations
The Attempt at a Solution
I'm not absolutely sure I'm doing this correctly but here is my attempt:
First, I put the vectors in S in the rows of a matrix (using multiple...
Sorry for the delay.
a) If n = 1 then there are two choices for the first and only element in the domain.
So, we have 2 functions if n = 1
If n = 2 then there are two choices for the first element in the domain. Then, since one choice is taken there is one choice for the second element...
Homework Statement
How many functions are there from the set {1, 2, . . . , n}, where n is a positive integer, to the set {0, 1}
a) that are one-to-one?
b) that assign 0 to both 1 and n?
c) that assign 1 to exactly one of the positive integers less than n?
Homework Equations...
Hello everyone,
For homework my instructor assigned problem from the book. To show which problems to do she wrote this: 4n + 1 N={1, 2, 3...}. Does this mean problems 5, 9, 13, . . . ?
Thanks for any suggestions.
Homework Statement
Let S = {2,3,4,5} and consider the poset (S, <=) where <= is the divisibility relation. Which of the following is true?
1. 3 is a minimal element
2. 4 is a greatest element
3. 2 is a least element
4. Both 2 and 3
Homework Equations
The Attempt at a Solution
My answer...
Homework Statement
Could someone help with this problem?
Determine which of the following posets (S, <=) are lattices.
1. A = {1, 3, 6, 9, 12} and <= is the divisibility relation.
2. B = {1, 2, 3, 4, 5} and <= is the divisibility relation.
3. C = {1, 5, 25, 100} and <= is the...
Homework Statement
Are the following subsets partitions of the set of integers?
The set of integers divisible by 4, the set of integers equivalent to 1 mod 4, 2 mod 4, and 3 mod 4.
Homework Equations
The Attempt at a Solution
Yes, it is a partition of the set of integers...
Homework Statement
Given the graph, determine if the following sequences form a walk, path and/or a circuit.
http://img843.imageshack.us/img843/5686/digraph.png [Broken]
1. a, b, c, e
2. b, c, d, d, e, c, f
3. a, b, c, f, g, a
4. b, c, d, e
Homework Equations
The Attempt at a Solution
1...
Homework Statement
Find the matrix that represents the given relation. Use elements in the order given to determine rows and columns of the matrix.
R on {2, 3, 4, 6, 8, 9, 12} where aRb means a|b.
Homework Equations
The Attempt at a Solution
1 0 1 1 1 0 1
0 1 0 1 0 1 1
0 0...
Homework Statement
2. Let R1 = {(1,1),(1,2),(2,3),(3.4), (2,4) } and
R2 = {(1,1),(2,2),(2,3),(3,3),(3,4) } be relations from {1,2,3} to {1,2,3,4}
R1⨁ R2
Homework Equations
The Attempt at a Solution
R1⨁ R2 = {(1,2), (2,2), (2, 4), (3,3)}
Is this correct?
Homework Statement
Determine which binary relations are true, reflexive, symmetric, antisymmetric, and/or transitive.
The relation R on P = {a, b, c} where R = {(a, a), (a, b), (a, c), (b, c), (c, b)}
Homework Equations
The Attempt at a Solution
Not reflexive because there is...
Homework Statement
Determine which binary relations are true, reflexive, symmetric, antisymmetric, and/or transitive.
The relation R on all integers where aRy is |a-b|<=3
Homework Equations
The Attempt at a Solution
The relationship is reflexive because any number minus itself will be...