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Advanced-Math Questions
Find all the cyclic subgroups of the dihedral group D6
why there are 10000 possible four-digit codes for a pin when digits are 0-9.
Prove that f(x)=x*cos(1/x) is continuous at x=0. please give detailed proof. i guess we can use...
Consider the linear equation y' + by = f(t). Suppose that b > 0 is constant,...
Prove the following: For any positive real numbers x and y, x+y ≥ √(xy)
Find the diameters of Kn (Connected graph with n vertices), Km,n (Bipartite graph with m and...
problem 2 In the polynomial ring Z[x], let I = {a0 + a1x + ... +...
A company that fills one-gallon containers of water has four machines. The quality control manager needs...
solve y"-4y+5y=20 sehnt, y(0)=0, y'(0)=0
suppose every element of a group G has order dividing 2. Show that G is an...
you need a 90,000 loan option 1 a 30 year loan at an apr of 6.65%...
Let u = (1,−3,3,9) and v = (2,1,0,−2). Find scalars a and b so that au...
Solve the non homogenous wave equation , Utt - c^2Uxx =1 , u(x,0) = sin (x)...
(a) Use modular arithmetic to show that if an integer a is not divisible by 3,...
Determine whether y = ex is a solution to the d.e. y' + y" = 2y.
Determine the last digit of 21647^63433711
Solve the wave equation Utt - C^2 Uxx = 0 with initial condtions : 1) u(x,0)...
Suppose A is bounded and not compact. Prove that there is a function that is continuous...
Prove that for every positive integer n, there exists an irreducible polynomial of degree n in...
Show that if a set of real numbers E has the Heine-Borel property then it is...
In class we proved that if (x, y, z) is a primitive Pythagorean triple, then (switching...
Please write all the steps in order to manually calculate: (11600/(r-0.04))/(1+r)^2 = (-13000/r)/(1+r)
(a) Prove that if y = 4k for k ≥ 1, then there exists a primitive...
A company surveyed 1000 people on their age and the number of jeans purchased annually. The...
Activity 10.5. Suppose A is a set that definitely does not contain any cats, and let...
Define linear equation and what are some examples linear equation.
A standard Subway sandwich has 6 ounces of meat in the sub. The Subway at Western...
Problem 13.5. Consider a “square” S = {(x, y) : x, y ∈ {−2, −1, 0,...
Let p be an odd prime of the form p = 3k+2. Show that if a^3...
If (xn) ∞ to n=1 is a convergent sequence with limn→∞ xn = 0 prove that...
Solve the initial value problem below for the Cauchy-Euler equation t^2y"(t)+10ty'(t)+20y(t)=0, y(1)=0, y'(1)=2 y(t)=
what is the taylor series at x=1 for f(x)=ln(x+1) function ?
5. What is the orbit of 3 in the group Z_7 under multiplication modulo 7? Is...
8. List all irreducible polynomials with binary coefficients of degree 4 or less. (Hint: produce a...
Prove that a simple outerplane graph of order n has at most 2n-3 edges.
Find a general solution to the given equation for t<0 y"(t)-1/ty'(t)+5/t^2y(t)=0
Let C be the plane curve determined by the function r(t)=(3-t^2)i+(2t)j where -2<=t<=2. -Find T(t), T'(t),...
8. Consider a 4 × 2 matrix A and a 2 × 5 matrix B ....
What is the formula for the non-homogeneous equations?
Question 56 To save time, Nivaldo's chemistry professor grades only two randomly chosen problems of a...
8. Let A = {fm,b : R → R | m not equal 0 and fm,b(x)...
Solve the following initial value problem ?′′ + 9? = 10?−?, ?(0) = 0 and ?′(0)...
Suppose ?(?,?)=??(1−10?−10?) f ( x , y ) = x y ( 1 − 10 x...
it can be shown that y1=x^(−2), y2=x^(−5) and y3=2 are solutions to the differential equation x^2D^3y+10xD^2y+18Dy=0 on...
A message has been encrypted by translating the letters into numbers (A = 0, B =...
If In a digital communication system, 1’s transmitted 55% of the time and -1’s transmitted during...
solve the given initial value problem dx/dt=7x+y x(0)=1 dt/dt=-6x+2y y(0)=0 the solution is x(t)= and y(t)=
The function f(x,y)=4x-4y has an absolute maximum value and absolute minimum value subject to the constraint...
Let H=<(2 3)> be the cyclic subgroup of G=S3 generated by the transposition (2 3). Write...
Let R be a relation on A. Suppose that dom(R) = A and R^(-1)∘R⊆R. Prove that...
Calculate the partial derivatives ∂U∂T and ∂T∂U of (TU−V)2ln(W−UV)=1 at (T,U,V,W)=(4,1,9,18) using implicit differentiation: ∂U∂T∣∣∣(4,1,9,18)= equation...
Consider the two vector-functions listed below. Justify your answers for each question. x1(t) = [t, 2t]...
Find Eigenvalues and Eigenspaces for matrix: The 2 × 2 matrix AT associated to the linear...
Question 2 D is the region in the first octant bounded by: z = 1 −...
Use the Differential of Transforms Theorem (Theorem 2 in section 7.4) to find the inverse Laplace...
Infrared Geological Technologies (IGT) has been using the residual dividend policy in the past to determine...
give an example of linear system of differential equations with constant coefficients. thanks
1.)In exponential smoothing forecast, forecasted sale for period 2 is given by αY1 + (1 –...
y'' + 2y' = 4sin(2t)
since Hilbert did not use distance to define a shorter/longer length, we have used the following:...
Solve the given initial-value problem. 2y'' + 3y' − 2y = 10x2 − 4x − 15, y(0)...
Give an example of a connected undirected graph that contains at least twelve vertices that contains...
Prove that a group G of order 210 has a subgroup of order 14 using Sylow's...
U is a 2×2 orthogonal matrix of determinant −1 . Find 37⋅[0,1]⋅U if 37⋅[1,0]⋅U=[35,12].
Oscar dumped 12 dimes onto the carpet and recorders how much were heads and how many...
Incidents By Month For 2018 January 5,400 MEAN MEDIAN MODE February 4,930 5,181 5,216 5260 March...
Write code to evaluate the polynomial at the point indicated by using Horner’s algorithm. p(x)=x^5−x^4−3x^3−5x^2+10 at...
Please show all steps, thank you. Using the Taylor formula for f(x+h) and f(x-h) with f...
Let m be a composite positive integer and suppose that m = 4k + 3 for...
Write a formal proof to prove the following conjecture to be true or false. If the...
When composing the models of two functions, how are the input/output units of the inside and...
Find the number of passwords that use each of the digits 3,4,5,6,7,8,9 exactly once. IN how...
Find the solution to the recurrence relation an=3an−1+28an−2 with initial terms a0=10 and a1=12.
Suppose that X has Γ(6, 0.5) distribution. Part a: What is E(X)? Part b: What is...
Proposition (Bolzano’s theorem). Every bounded infinite subset of R has at least one accumulation point.
write the vector w=(1,-4,13) as a linear combination of u1=(1,2,3), u2=(2,1,1), u3=(1,-1,2)
show that y1= e^x and y2=1+x form a basis for the general solution of xy''-(1+x)y'+y=0 by...
find the general solution to x^2*y''+6xy'+6y=0
Prove that A5 has no subgroup of order 20.
Let R4 have the inner product <u, v> = u1v1 + 2u2v2 + 3u3v3 + 4u4v4...
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