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Advanced-Math Questions
Find the root of the function f(x) = 8 - 4.5 ( x - sin x...
In 3 dimensions, draw vectors u, v, w, and x such that u+v+w=x. The vectors u...
find a and b such that -15 0 -15 =a 1 0 1 +b 6 6...
Prove that if f(x) is a continuous function and f(x) is not zero then g(x) =...
How to express the following statements using logical connectives? p: Enemies are found. q: Weapon is...
Use Euclid’s GCD algorithm to compute gcd(356250895, 802137245) and express the GCD as an integer linear...
Find all stable states for the system xn+1 = Axn, n = 0, 1, 2, .......
Diagonalize this 3x3 matrix: 1 3 3 -3 -5 -3 3 3 1
Find all eigenvectors of this 3x3 matrix, when the eigenvalues are lambda = 1, 2, 3...
1) Danny consumes an energy drink that contains caffeine. After consuming the energy drink, the amount...
The inverse-demand curve for oil in the Middle East is given by P = 20 –...
Find the solution of the given initial value problems. 6y"-5y'+y=0, y(0)=4 , y'(0)=0
(i) Suppose that f1, f2 are lower semicontinuous at a. Prove that max{f1, f2} is lower...
If R is a field,is R[X] a field always? sometimes? never?
Consider the Contraction Mapping Fixed Point Theorem,CMFP Show that cos(x) satisfies the conditions of the theorem...
Let A be any 2 by 2 stochastic matrix. Is A always diagonalizable? Justify your answer.
Give 2 examples of a coninuous function and 2 examples of a non continuous function.
Let z= 2(cos(160)+ i sin(160)) and w=1(cos(40)+ i sin(40)). write zw in polar form where -180<degree<or...
You have a choice between a 30-year fixed rate loan at 3.5% and an adjustable rate...
The school production of 'Our Town' was a big success. For opening night, 393 tickets were...
. Let v1,v2,v3,v4 be a basis of V. Show that v1+v2, v2+v3, v3+v4, v4 is a...
Consider the function f(x) = 1 2 |x|. a) Can we use bisection search to find...
Give an indexed family of sets that is pairwise disjoint but the intersection over it is...
Compute for n = 0, ±1, ±2, ±3, ... the value of (1+i)^(2i)
GRAPH THEORY: Show that Kn is not magic when n is a multiple of 4. HINT:...
A standard deck of cards has 52 members consisting of 4 suits each with 13 members...
Use each definition of a continuous function to prove that every function f: Z --> R...
in parts a and b use gaussian elimination to solve the systems of linear equations. show...
encuentre la ecuación vectorial y las ecuaciones paramétricas para la línea que pasa por el punto...
Calculate the gcd of 11639881 and 243 and express it in the form gcd(11639881, 243)= 11639881x...
If y=∑n=0∞cnx^n is a solution of the differential equation y′′+(x+1)y′−1y=0, then its coefficients cn are related...
Suppose there exists an injection f:A→B. Prove that there exists a surjection g:B→A. please start with...
For parts a and b, find a basis for the solution set of the homogeneous linear...
MegaSports, Inc. produces two high-priced metal baseball bats, the Slugger and the Launcher, that are made...
Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the...
. Suppose you have been asked to write a report for Southwest Airlines discussing and displaying...
Complex Variable Evaluate the following: A) ∫_∣z−i∣=2 (2z+6)/(z^2+4) dz B) ∫_∣z∣=2 1/((z−1)^2(z−3)) dz (...
2nd ODE - what is the general solution of this 2nd ODE, y'' - 4y =...
G = <a>, where |a| = 360. a. Find the number of elements of G with...
: (a) Let p be a prime, and let G be a finite Abelian group. Show...
Calculate the Fourier series expansion of the function: f(x) =1/2(π-x) , when 0 < x ≤...
Prove using induction that for any m,n is an element of natural number, if |{1,2,....,m}|= |{1,2,...,n}|...
Assume that people have random first, middle, and last names, so that their initials such as...
What is the number of elements of the largest equivalence class that is subset of that...
Let X, Y be metric spaces, with Y complete. Let S ⊂ X and let f...
In the ring R[x] of polynomials over R, is there any kind of analogous theorem to...
Suppose Bob has n keys, of which one will open his office door. a) Suppose Bob...
1.) Given any set of 53 integers, show that there are two of them having the...
Show that each of the following numbers is algebraic over Q by finding the minimal polynomial...
Suppose f is monotone and differentiable. Is f' also monotone?
Solve the Initial Value Problem: a) dydx+2y=9, y(0)=0 y(x)=_______________ b) dydx+ycosx=5cosx, y(0)=7d y(x)=______________ c) Find the...
Consider the following sets: ?={112?−59|?∈ℤ}, ?={16?−11|?∈ℤ}, and ?={14?+11|?∈ℤ}. a) Show that ? is a proper subset...
This is a reposted, pls do not copy the previous workings as the answer is wrong....
6. You deposit $400 each month into an account earning 5% interest compounded monthly. a) How...
how many 8 bit strings begin or end with 1 ? * Is there a simple...
Let T:V-->V be a linear transformation and let T^3(x)=0 for all x in V. Prove that...
Please solve the 2nd order nonhomogenous D.E.using the method of undetermined coefficients a. y"-2y'+y = 2e^x...
Prove if f is continuous on [a,b] then f is bounded below and f has a...
The Fitness Studio, Inc.’s, 2021 income statement lists the following income and expenses: EBITDA = $676,000,...
For each polynomial f(x) ∈ Z[x], let f ' (x) denote its derivative, which is also...
solve the given ODE y'''+2y''-y'-2y=1-4x^3
Use the simplex method to solve: Maximize z=100x1+200x2+50x3, subject to: 5x1+5x2+10x3 ≤ 1,000 10x1+8x2+5x3 ≤ 2,000...
Prove that n is prime iff every linear equation ax ≡ b mod n, with a...
consider a spring mass system with a damping force but no external force that has the...
Find the laplace transform of sin root t and hence deduce cos root t all over...
you want to be able to withdraw $50,000 each year for 15 years. Your account earns...
Show that there is not element f E S5 such that f(1,2,3)f-1 = (1,2)(3,4,5)
9. Let S = {a,b,c,d,e,f,g,h,i,j}. a. is {{a}, {b, c}, {e, g}, {h, i, j}} a...
2. Define a relation R on pairs of real numbers as follows: (a, b)R(c, d) iff...
Find y as a function of t if 16y''+4y=0, y(5)=5, y'(5)=6.
Tough Concrete, a construction company, will purchase a new kind of digging machine in 3 years....
8. Parallel flow. What is the complex potential of an upward parallel flow of speed K>0...
Provide an example of a 10 dimensional vector space with a brief explanation of what sets...
Discrete Mathematics A pin consists of 6 characters. Each one of the characters can be digits...
Q.3 (Applications of Linear Second Order ODE): Consider the ‘equation of motion’ given by ODE d2x...
The integer 145 has the curious property that 145 = 1! + 4! + 5!It is...
Counting theory: Find how many 4-digit positive integers are there with no repeating digits (e.g.: 5823)...
Prove the statement true or use a counter-example to explain why it is false. Let a,...
Set up the linear system for the clamped cubic spline S that interpolates the data f(0)...
Let G1 and G2 be isomorphic groups. Prove that if G1 has a subgroup of order...
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