Question

. Rewrite each of the following polynomials, ordering the terms using the lex order, the grlex...

. Rewrite each of the following polynomials, ordering the terms using the lex order, the
grlex order, and the grevlex order, giving LM(f), LT(f), and multideg(f) in each case.
a. f(x, y,z) = 2x + 3y + z + x2 − z
2 + x3
.
b. f(x, y,z) = 2x2
y8 − 3x5
yz4 + xyz3 − xy4
.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the GCD d(x) of the following pairs of polynomials a(x),b(x) in Z3[x]. In each case,...
Find the GCD d(x) of the following pairs of polynomials a(x),b(x) in Z3[x]. In each case, express d(x) as a linear combination of a(x) and b(x). a) a(x)= x3 + x2 +1 , b(x)= x2+1 b) a(x)= x3 + x2+ 1 , b(x)= x2 + x + 1 c) a(x)= x3 +x2 +1 ,b(x)= x2 + x
1)Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution,...
1)Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) x1 + 2x2 + 8x3 = 6 x1 + x2 + 4x3 = 3 (x1, x2, x3) = 2)Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express...
For each of the following statements: • Rewrite the symbolic sentence in words, • Determine if...
For each of the following statements: • Rewrite the symbolic sentence in words, • Determine if the statement is true or false and justify your answer,• Negate the statement (you may write the negation symbolically). √ (a) ∀x∈R, x2 =x. (b) ∃y∈R,∀x∈R,xy=0. (c) ∃x ∈ R, ∀y ∈ R, x2 + y2 > 9.
1) Determine whether x3 is O(g(x)) for the following: a. g(x) = x2 + x3 b....
1) Determine whether x3 is O(g(x)) for the following: a. g(x) = x2 + x3 b. g(x) = x2 + x4 c. g(x) = x3 / 2 2) Show that each of these pairs of functions are of the same order: a. 3x + 7, x b. 2x2 + x - 7, x2
Find the derivatives of each of the following functions. DO NOT simplify your answers. (a) f(x)...
Find the derivatives of each of the following functions. DO NOT simplify your answers. (a) f(x) = 103x (3x5+ x − 1)4 (b) g(x) = ln(x3 + x) / x2 − 4 (c) h(x) = tan-1(xex) (d) k(x) = sin(x)cos(x)
6) Cramer’s Rule Solve each using Cramer’s rule a) 3x + .5y =10       10x -   ...
6) Cramer’s Rule Solve each using Cramer’s rule a) 3x + .5y =10       10x -    -y = -3 b) x + z +y = 12 -x + 3y - z = 2      -2x + z = -2 7) Proofs Prove the following by induction     1. n3 – n is divisible by 3 for n >=2     2. . Prove that n! < nn forn ≥ 2. Prove directly that: The sum of an integer and its cube...
For each of the following pairs of polynomials f(x) and g(x), write f(x) in the form...
For each of the following pairs of polynomials f(x) and g(x), write f(x) in the form f(x) = k(x)g(x) + r(x) with deg(r(x)) < deg(g(x)). a)   f(x) = x^4 + x^3 + x^2 + x + 1 and g(x) = x^2 − 2x + 1. b)   f(x) = x^3 + x^2 + 1 and g(x) = x^2 − 5x + 6. c)   f(x) = x^22 − 1 and g(x) = x^5 − 1.
For each of the following vector fields F , decide whether it is conservative or not...
For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential function f (that is, ∇f=F∇f=F ). If it is not conservative, type N. A. F(x,y)=(−10x+3y)i+(3x+10y)jF(x,y)=(−10x+3y)i+(3x+10y)j f(x,y)=f(x,y)= B. F(x,y)=−5yi−4xjF(x,y)=−5yi−4xj f(x,y)=f(x,y)= C. F(x,y,z)=−5xi−4yj+kF(x,y,z)=−5xi−4yj+k f(x,y,z)=f(x,y,z)= D. F(x,y)=(−5siny)i+(6y−5xcosy)jF(x,y)=(−5sin⁡y)i+(6y−5xcos⁡y)j f(x,y)=f(x,y)= E. F(x,y,z)=−5x2i+3y2j+5z2kF(x,y,z)=−5x2i+3y2j+5z2k f(x,y,z)=f(x,y,z)= Note: Your answers should be either expressions of x, y and z (e.g. "3xy + 2yz"), or the letter "N"
For each of the following vector fields F , decide whether it is conservative or not...
For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential function f (that is, ∇f=F). If it is not conservative, type N. A. F(x,y)=(−4x+3y)i+(3x+16y)j f(x,y)= B. F(x,y)=−2yi−1xj f(x,y)= C. F(x,y,z)=−2xi−1yj+k f(x,y,z)= D. F(x,y)=(−2siny)i+(6y−2xcosy)j f(x,y)= E. F(x,y,z)=−2x2i+3y2j+8z2k
1. a) Find the solution to the system of linear equations using matrix row operations. Show...
1. a) Find the solution to the system of linear equations using matrix row operations. Show all your work. x + y + z = 13 x - z = -2 -2x + y = 3 b) How many solutions does the following system have? How do you know? 6x + 4y + 2z = 32 3x - 3y - z = 19 3x + 2y + z = 32
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT