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Advanced-Math Questions
An oil company operates two refineries in a certain city. Refinery I has an output of...
Can an ideal of some polynomial ring be a reducible polynomial? For example, could an ideal...
Show that the commutator subgroup of GL (n,F) is SL(n ,F).
show 1/(x^1/2) is not uniformly continuous on the interval (0,1).
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth)...
Find the total value TV of the given income stream and also find its future value...
Solve the differential equation: dy/dx = sin(x - y).
Solve the given differential equation by undetermined coefficients. y'' + y' − 20y = 2x
Solve the given differential equation by undetermined coefficients. 4y'' − 4y' − 35y = cos(2x)
Show how to approximate the required work by a Reimann sum. Then express the work as...
Let f be a function which maps from the quaternion group, Q, to itself by f...
You can afford a 1500 per month morgage payment. You've found a 30 year loan at...
Solve the following set of equations graphically: X=-Y-4 Y=-5X-4 Select one: a. None of Them b....
Use the truth-tree decision procedure (relying on Proof Tools or pen/pencil and paper) to determine whether...
Elgamal Cryptosystem In the Elgamal cryptosystem, Alice and Bob use p = 17 and g =...
Let R be a ring. Define a group structure on {(a,b) ∈ R^2: a^2+b^2=1}
Archimedes’s trammel is sometimes also called an “ellipsograph” because it can be used to draw ellipses....
example of a 1 tsil test
Evaluate the surface integral S F · dS for the given vector field F and...
A company is considering expanding their production capabilities with a new machine that costs $43,000 and...
Eight boys and nine girls sit in a row of 17 seats. (a) How many different...
Let T:V→W be a linear transformation and U be a subspace of V. Let T(U)T(U) denote...
Use Euler's method to approximate y(0.2), where y(x) is the solution of the initial-value problem y''...
Describe, in vector form, the set of all solutions of the following linear system 2x −...
1. Find the general solution to the differential equation y''+ xy' + x^2 y = 0...
suppose f is an integral element function on [0,1], p and q are partitions of [0,1]....
6. Let G = S5 the group of bijective maps on Ω5 = {1,2,3,4,5}. Let H...
a) Show that √2 ∈ Q(√2 + √7) b) Find the degree of the extension Q...
Given the binomial 7 + 6i, factor it into a product of primes from ring Z[i]....
let T:P2→P4 be a linear transformation defined by T(a+bx+cx2)=2bx−cx2−cx4. (a) Find ker(T) and give a basis...
Apply Euler’s method in the interval [0,1] with the step size of 0.2 to solve numerically...
Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are...
If G is some group where φ : G → G is some function given by...
Solve the IVP: , y(0)=3. 2) Solve the DE: . y' = xy^2/ (x^2 +1)
Rubber and Steel Company is planning to manufacture a new product. The variable manufacturing costs will...
Prove that if n is an integer and 3 is a factor of n 2 ,...
Find the general solution to the ODE y2 -10y+21=dy/dx
A vertical dam has a semicircular gate. The gate has diameter 4 meters, is the top...
In your bid to be elected class representative, you have your election committee survey five randomly...
1. Let D={1212,1515,1717}, E={1212,1414,1515,1616} and F={1111,1313,1414,1515,1717}. List the elements in the set (D∪E)∩F. (D∪E)∩F= 2. Let...
The solid is a triangular column with a slanted top. The base is the triangle in...
Determine conditions on a, b and c so that the following system has solutions: 2x +...
Prove this statement. Z[i] is the Gaussian integers: Let α ∈ Z[i]. Then α is a...
the negation of the statement. some student will get an A on this test
Consider the linearly independent set of vectors B= (-1+2x+3x^2+4x^3+5x^4, 1-2x+3x^2+4x^3+5x^4, 1+2x-3x^2+4x^3+5x^4, 1+2x+3x^2-4x^3+5x^4, 1+2x+3x^3+4x^3-5x^4) in P4(R), does...
b) The probability that a manager reads the Daily Telegraph is 0.7. The probability that she...
Using the definition (must show the calculation) prove that the Laplace transform of e^t t is...
The two components of a linear system response are zero-input response and zero-state response. Explain the...
Show that the product of two n × n unitary matrices is unitary. Is the same...
A climber on Mount Everest is 6000 meters from the start of his trail and at...
A password must consist of a minimum of 8 letters (not case sensitive) and a maximum...
Hint if need to find ex 4.1^5 make f(x)= x^5, f'(x)= 5x^4, and plug in 4...
We are given n distinct balls and m distinct boxes. m and n are non-negative integers....
A hundred players are participating in this game (N = 100). Each player has to choose...
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2...
(a) Consider x^2 + 7x + 15 = f(x) and e^x = g(x) which are vectors...
Calculate the triple integral of xzdV where T is the solid tetrahedron with vertices (0; 0;...
Use the method of variation of parameters to find a particular solution of the differential equation...
1. (a) For the relation. xe^y= x^-1 ln(y^2 +1)-arcsec x taking the derivative of both sides...
Let the domain under consideration consist of all positive integers greater than 2. Define the following...
sketch the function f and obtain fourier series 1. f(x)=|x|, -2pi<x<2pi
(1 point) Find a non-zero vector x⃗ perpendicular to the vectors v⃗ =[1,5,−2] and u⃗ =[1,4,3]....
Prove: If A is an n × n symmetric matrix all of whose eigenvalues are nonnegative,...
Consider the expansion of (x+1)8, which terms in the expansion have a coefficient of 56? x^4...
(Modern Algebra) Prove using the Lagrange theorem that, except for isomorphisms, there are only two groups...
Using induction prove that for all positive integers n, n^2−n is even.
Let x0=1, x1=1.25, and x2=1.6. Using data at these xi, construct interpolating polynomial of degrees at...
Consider the complement of the event before computing its probability. If two 10-sided dice are rolled,...
Consider the function f(x) = sin(x). Suppose we want to approximate f 0 (0) by using...
Find a power series representation for the function and determine the radius of convergence. 1) f(x)=x^3/(x-2)^2...
For a bit string containing 10 bits, how many strings are there that contains 5 consecutive...
find the general solution. 1- y^6(4)+12y''+36y=0 2-6y^(4)+5y'''+7y''+5y'+y=0 3-y^(4)-4y'''+7y''-6y'+2y=0
Prove p ∨ (q ∧ r) ⇒ (p ∨ q) ∧ (p ∨ r) by constructing...
Let V be a finite dimensional space over R, with a positive definite scalar product. Let...
Find the fixed point of e-e^(x) to within 0.1 by using xed point iteration.
Solve 2(x+2)y''+4y'+6/(x+2)y=5
The management of the UNICO department store has decided to enclose a 918 ft2 area outside...
Find all zero divisors in the ring: ℤ4 x ℤ6 Explain please.
From data compiled over a 5-year period by Women's Daily in a study of the number...
Show that every ideal S of ℤ is equal to mℤ for some m∈ℤ. [Hint: suppose...
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