4.1 Solve by Laplace Transformation U+ + Ux₁ = xt with I.C: u(x₂0) = Sinx ; u(ost) = 0

Q: Let A = (a, b, c) and R = ((a, a), (b, b), (c, c), (c, b), (b, c)). Which of the following statement…

A: Given set is  A = {a, b, c} and  R = {(a,a), (b,b), (c,c), (c,b), (b,c)} is relation on A

Q: Please write a summary on quadratic expressions of normally distributed random variables and their…

A: The nx1 vector  of random varibles y is said to be distributed as a multivariate normal with mean…

Q: 2. Let V P3(R) and F = R. If W1 W2 = {p(x) E P3(R) | p(1) = 0}, then {p(x) € P3(R) | p(0) = 0} and…

A: Result: If V is finite dimensional vector space and W is a subspace of V then , dim(W) = dim(V) -…

Q: Prove (t, to) = A(t)Þ(t, t,)

A: The variables of function t and to are independent variables.

Q: andf Suppose that f: R2 -> R2 in linear transformation. Suppose that you know the value of f (LU) f(…

A:

Q: 3. Find the standard matrix for the composition in R2: A rotation about the origin of 15°, followed…

A:

Q: Construct examples to show that if X and Y are topological spaces with G acting on them such that…

A:

Q: Susan and Bill are playing a sequential bargaining game that Susan makes the offer to Bill with the…

A: Solution :-

Q: Consider the space of square integrable functions L² ([–1, 1]). Let B = {Pn|n = 0, 1, 2, ...} the…

A:

Q: 10) Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed too…

A: Work done: For a stretchable spring is W= x1∫x2Fdx

Q: Evaluate the integral 1 dz. Lancon z(272 + 3)²(z+ + 2)³ Hint: Use the parametrization y:[-T, T] → C…

A:

Q: 06. Suppose V is an inner product space, and let U,, U, be two subspaces of V satisfying dim (U,) <…

A:

Q: Q2// Find the Maclaurin series of the function f(x) = x² sinx ?

A:

Q: Consider / = (x)dx. The approximation of I using composite trapezoidal rule with 3 subintervals is…

A:

Q: Let o = 01 + o2 with +y+ 1 f(=) and o2 = 2r + 5y + 629 where f and g have continuous second order…

A:

Q: 4. Sketch a function f such that: lim f(x) and f(4) exist and are equal to one another. x→4 5.…

A:

Q: x e² Uxx + eª Ините у Solve and transform it form. Uyy = U into is elliptic cannonical

A:

Q: Define bi V3 and bn+1 3bn. Show that {bn} is monotone and compute lim,n- bn.

A:

Q: Find all equilibrium points and determine their types when C =1. i, = x2 i, = -bx, +1+ c(-1+…

A:

Q: Show that it is possible to find the 3-median of n numbers using O(n) comparisons.

A: It is possible to find the 3-median of n numbers using O(n) comparisons