Questions
How do you calculate the probability of compound events?
How do you calculate the probability of compound events?
In: Advanced Math
Find and Simplify where ................................
Find f(a+h) - f(a) / h where f(x) = 6x - 9
In: Advanced Math
What is the number of group homomorphisms from z12 to z13?
What is the number of group homomorphisms from z12 to z13?
In: Advanced Math
What is the vertex of y = 2x² + 6 x + 4 ?
What is the vertex of
y=2x²+6x+4 ? Give details explaination
In: Advanced Math
Number Theory
Given integers a, b, c,
g.c.d.(a, b, c) = 1 if and only if g.c.d.(a, b) = 1 and g.c.d.(a, c) = 1
In: Advanced Math
syllw subgroup
The number of involutions in G is |G|/4, and every right coset of a Sylow 2-subgroup S of G not contained in NG(S) contains exactly one involution.
In: Advanced Math
Integer property ( Real Analysis)
An integer n is called even if n = 2m for some integer m, and odd if n + 1 is even. Prove the following statements:
(a) An integer cannot be both even and odd.
(b) Every integer is either even or odd.
(c) The sum or product of even integers is an even integer. What can you say about the sum or product of odd integers?
In: Advanced Math
Density property of Real number
If x and y are arbitrary real numbers such that x < y, prove that there exists at least one rational number r satisfying x < r < y, and hence infinitely many.
In: Advanced Math
Differential equation
Solve the differential equation with details explaination :
x²y" + 6xy' - 24y=x^9
In: Advanced Math
Kernal ( Homomorphisms)
Prove that φ : Z ⊕ Z → Z by φ(a, b) = a − b is a homomorphism. Determine the kernel.
In: Advanced Math
Homomorphisms
How many (group) homomorphisms are there from Z20 onto (surjective to) Z8. How many are there to Z8?
In: Advanced Math
Gaussian Elimination
Solve using Gaussian elimination with partial pivoting and 4 digit arithematic
In: Advanced Math
Maclaurin Series
Find the Maclaurin Series of the following functions:
(a) f(x)= Ln(3+x)
(b) f(x)= cos(3x)
(c) f(x) = x^(2)(e^(-x))
In: Advanced Math
Mathematical modeling
A population of squirrels living in a forest with a carrying capacity of 2600.(assume logistics growth with constant k=0.9yr)
(a)find a formula for the squirrels population p(t) assuming an initial population of 650 squirrels.
(b)how long will it take for the squirrels population to double?
In: Advanced Math