Question
In: Physics
Determine the Legendre polynomial P1(x) on an arbitrary interval [a, b]. Prove that one point Gaussian...
Determine the Legendre polynomial P1(x) on an arbitrary interval [a, b]. Prove that one point Gaussian quadrature is identical to the midpoint rule.
Solutions
genius_generous answered 1 year agoRelated Solutions
1. Find the Legendre polynomial PL(x) for L = 3,4,5,6 where the polynomian is the series...
1. Find the Legendre polynomial PL(x) for L = 3,4,5,6
where the polynomian is the series solution for Legendre
equation
2. Find the other solution QL(x) for the Legendre
equation for L = 0,1,2
Please explain in full.
1. Find the Legendre polynomial PL(x) for L = 3,4,5,6 where the polynomian is the series...
1. Find the Legendre polynomial PL(x) for L = 3,4,5,6 where the
polynomian is the series solution for Legendre equation
2. Find the other solution QL(x) for the Legendre equation for L
= 0,1,2
Please explain in full.
Let A, B, C be arbitrary sets. Prove or find a counterexample to each of the...
Let A, B, C be arbitrary sets. Prove or find a counterexample to
each of the following statements:
(b) A ⊆ B ⇔ A ⊕ B ⊆ B
Prove that the polynomial x^3 + x^2 – x + 1 has no integer roots
Prove that the polynomial x^3 + x^2 – x + 1 has no integer
roots
Prove that for arbitrary sets A, B, C the following identities are true. Note that Euler...
Prove that for arbitrary sets A, B, C the following
identities are true. Note that Euler Diagram is not a proof but can
be useful for you to visualize!
(A∩B)⊆(A∩C)∪(B∩C')
Bonus question:
A∪B∩A'∪C∪A∪B''=
=(A∩B∩C)∪(A∩B'∩C)∪(A'∩B∩C)∪(A'∩B∩C')
Use induction to prove Let f(x) be a polynomial of degree n in Pn(R). Prove that...
Use induction to prove
Let f(x) be a polynomial of degree n in Pn(R). Prove that for
any g(x)∈Pn(R) there exist scalars c0, c1, ...., cn such that
g(x)=c0f(x)+c1f′(x)+c2f′′(x)+⋯+cnf(n)(x), where f(n)(x)denotes the
nth derivative of f(x).
If X, Y and Z are three arbitrary vectors, prove these identities: a. (X×Y).Z = X.(Y×Z)...
If X, Y and Z are three arbitrary vectors, prove these
identities:
a. (X×Y).Z = X.(Y×Z)
b. X×(Y×Z) = (X.Z)Y – (X.Y)Z
c. X.(Y×Z) = -Y.(X×Z)
Prove that: a) |sinx|<= |x| b) x = sin x has only one solution in real...
Prove that:
a) |sinx|<= |x|
b) x = sin x has only one solution in real number using mean
value theorem
x:4,5,3,6,10 y:4,6,5,7,7 A.)Determine .95 confidence interval for the mean perdicted when x =7 b.) Determine the...
x:4,5,3,6,10
y:4,6,5,7,7
A.)Determine .95 confidence interval for the mean perdicted when
x =7
b.) Determine the .95 perdection interval for an indvidual
predicted when x =7
Prove the following: Let f(x) be a polynomial in R[x] of positive degree n. 1. The...
Prove the following:
Let f(x) be a polynomial in R[x] of positive degree n.
1. The polynomial f(x) factors in R[x] as the product of
polynomials of degree
1 or 2.
2. The polynomial f(x) has n roots in C (counting multiplicity).
In particular,
there are non-negative integers r and s satisfying r+2s = n such
that
f(x) has r real roots and s pairs of non-real conjugate complex
numbers as
roots.
3. The polynomial f(x) factors in C[x] as...
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