Advanced-Math Questions

##### Give an example of 4 vector spaces of dimension 3.

##### find the orders of 1, 2, ..., 10(mod 11)

##### Theorem. Suppose f(x) = a_ nx^(n)+a_n−1x^(n−1)+...+a_0 is a polynomial of degree n > 0 with integer...

##### what is the order of growth of any polynomial?

##### Derive the classic differential equation model the describes the position of a falling object as a...

##### Complete all of the exercises as soon as possible: 1. Find all k for which E...

##### 1. Consider the function y= -2x3+6x2-2x+125 a. write the difference quotient of the function b. demonstrate...

##### An automobile dealer conducted a test to determine whether the time needed to complete a minor...

##### Write down the inference or replacement rule and the line(s) it uses (1) A -> [(AvB)...

##### 2A) An ideal gaseous reaction (which is a hypothetical gaseous reaction that conforms to the laws...

##### Sonia is running for office and must allocate her volunteers’ time between time phone banking (B)...

##### If A, B and C= A.B are square n×n matrices and the Nullity(C)= 0, then the...

##### Mr. Jones deposited $800 at the end of each year into a RRSP investment fund for...

##### Suppose F is a field. Use the field axioms to show the following: (a) For all...

##### Use the Laplace transform to solve the ODE, m x ″ + k x = 1...

##### You have a sphere with the coordinates (0,0,0) and a M radius. Write the equation for...

##### 11n-4n is divisible by 7 for any n >0

##### Consider the differential equation x2 dy + y ( x + y) dx = 0 with...

##### Let A be an nxn matrix. Prove that A is invertible if and only if rank(A)...

##### Let S = {x2+2, x+1, x-1} a) Show that S is a basis for P2. b)...

##### Find the equation of the regression line for the given data. Then construct a scatter plot...

##### A passenger on a cruise ship is positioned 42m above the water level and is admiring...

##### 12. Consider the plane curve y =x^3/(45)^1/2 for 0 ≤ x < ∞. a. [4] Find...

##### Let x ∈ N. Prove that if (x + 3)^2 is prime, then x^3 − x...

##### . Consider the plane curve y = x^3/sqrt(45) for 0 ≤ x < inf. a. Find...

##### Determine how many elements there are in Dn. Your proof should provide some reasoning as to...

##### Solve the given symbolic initial problem. y''+2y'+10y=3delta(t-pi); y(0)=1 y'(0)=8

##### Solve the system of equations by method of the Laplace transform: 3 dx/dt + 3x +2y...

##### Determine the inverse Laplace transform of {F}. F(s)= (10s^3 -30s^2 -5s +30)/(s^3(s-6))

##### Solve heat equation for the following conditions ut = kuxx t > 0, 0 < x...

##### . The distance between two nonempty sets A ⊆ R and B ⊆ R is deﬁned...

##### survey of 500 farmers showed that of the farmers, 122 grew only wheat, 107grew only corn,...

##### Differential Equations. Please write clearly and show all work 1. Solve by Laplace Transforms: x'' +...

##### Expand the following periodic functions in the interval –pi < x < pi in a sine...

##### Three step problem. For the following arguments, create a proof of the conclusion, with the given...

##### d2x dt2 + 9x = 2 sin(3t), x(0) = 5, x'(0) = 0

##### Use Stokes' Theorem to compute the flux of curl(F) through the portion of the plane x37+y33+z=1...

##### Construct a finite-state machine that gives an output of 1 if the number of input symbols...

##### How can we show that the permutation matrix is orthogonal for all σ ∈ Sn?

##### Find the power series solutions in powers of x for each of the following: 1. y''...

##### Let X = { x, y, z }. Let the list of open sets of X...

##### Hello! I hope you are healthy and well! I am hoping that this message finds you...

##### FIND: The GENERAL FORM of a particular solution to below ODE: y''-2y'+5y = exsin(4x) + xe2x...

##### Prove that implication is transitive.

##### Compute the sum all even integers between m and n, inclusive. Assume m < n and...

##### Find the mass of a flat triangular sheet in the first octant with vertices (1, 0,...

##### Let f : A → B, g : B → C be such that g ◦...

##### How many injections are there with domain {a ,b ,c ,d ,e} and codomain {1 ,2...

##### 4. When the second derivative test (SDT) is used for a critical point the result can...

##### Prove or Disprove that Dn (the dihedral group of n) is simple for some n>2.

##### solve the initial value problems: 1)x'+(1/t)x=1/x, x=2 when t=3. 2)(2tx+x3)dt + (t2+3tx2)dx = 0, x=1 when...

##### A mass of 2 kg. is attached to a spring with spring constant k = 17/2...

##### Consider a city with three taxi companies, A, B and C. Assume that, after a year,...

##### Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful...

##### Solve listed initial value problems by using the Laplace Transform: 8. yll − 4yl + 5y =...

##### Find the “Line of Best Fit” for the data set: (1, 1), (3, 4), (5, 7)...

##### Let the cycle type of a permutation α ∈ S_n be the decreasing list of integers...

##### This is Actuarial Science. Please answer asap! Susan repays a loan of $4800 by making equal...

##### Consider the vector x = (3, 11). a) What is the vector representation of x using...

##### Show that the curve: ?^2−?^2+?^2=1 ??+??=2 is tangent to the surface: ???−?^2−6?=−6 at the point (1,1,1).

##### Prove that the composition of two rotations with the same center is a rotation. Please don't...

##### Classify the singularities of each of the following functions (Poles, Removable,or Essential), show the power series...

##### can someone pls do this asap ? thank you Suppose R={(1,1), (1,3), (2,2), (2,4), (2,5), (3,1),...

##### Find the partial fraction decomposition of the rational function. 9?^2 − 9? + 6 all over...

##### Consider the relation on the real numbers R. a ~ b if (a−b) ∈ Z. (Z...

##### A certain country's GDP (total monetary value of all finished goods and services produced in that...

##### For a positive integar m, let Zm = {0, 1, ..., m-1}. Define: +: Zm x...

##### Please show that the following sequence are valid by giving proofs of their validity.... If P...

##### Differential Equations: Find the general solution by using infinite series centered at a. 1.y′′ − xy′...

##### 3. Let V and W be ﬁnite-dimensional vector spaces over ﬁeld F with dim(V) = n...

##### Use extended Euclidean algorithm to find x and y such that 20x + 50y = 510.

##### “If A is a 3×4 matrix, then the transformation x→Axis one-to-one.” The statement is true of...

##### 2. For ﬁnite-dimensional vector spaces V and W over ﬁeld F, let φ : V →...

##### show work use determinants to calculate the area of the parallelogram with the following vertices. (-3,-2)...

##### Let U and W be subspaces of a finite dimensional vector space V such that V=U⊕W....

##### 2xydx+x2dy=0 Is this equation linear, homogenous, exact, separable, or a bernoulli? If it is multiple, then...

##### Give an example of i) ARIMA(1,1,1) process ii) not invertible and not causal ARMA(2,2) process

##### victor opens a savings account with a deposit of $100. He deposits $55 a year later...

##### Write the contrapositive statements to each of the following. Then prove each of them by proving their respective contrapositives. ...

##### 4.1 Suppose the demand per week for a product is 200 units when the price is...

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