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Advanced-Math Questions
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...
Set up the system of equations and then solve it by using an inverse matrix. A...
Show that if n people go to a party and some shake hands with others but...
Suppose that ~ is a relation defined on the vertices of a graph G. There are...
Solve y''+3y' -10y=e2x+e5x + 10 by undetermined coefficients.
Let ?⃗ =(5z+5x3)i→+(6y+7z+7sin(y^3))j→+(5x+7y+6e^z^3)k→. let C be the half circle (?−25)^2+(?−30)^2=1 in the xy-plane with ?>30, traversed...
When applying finite difference to the following ODE, what is the solution to y(1)? y(0) is...
You can afford a $1400 per month mortgage payment. You've found a 30 year loan at...
Evaluate Integral∫C (xyplus+yyplus+z) ds along the curve r(t)equals=2tiplus+tjplus+(4minus−2t)k, 0less than or equals≤tless than or equals≤1.
Find the solution to the system of differential equations: x' = y x(0) = 0 y'...
Let C1 and C2 both be discs (circles) of radius a such that the center of...
Part 1. Random Events 1. A quality control engineer tests the quality of produced computers Suppose...
A common cultural refrain is Lord Byron’s ‘There is pleasure in a pathless woods...’. The quote...
w+x+y+z=6, 2w+2x-2y-2z=4, 7w-2x+2y+z=24, w-x+3y+7z=4
Find the point on the surface z = x 2 + 2y 2 where the tangent...
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