What is lognormal density and how was these results derived. This is regard to Brownian motion and Ito process

Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (2, 3) in the…

A: We have to find directional derivative using given data.Concept required:Directional derivative of…

Q: v'u = (uv) – u't

A: Introduction: The formula for differentiation of product of two functions is given by,…

Q: A fluid moves through a tube of length 1 meter and radius r = 0.004±0.00015 meters under a pressure…

A: A scalar function f(x,y,z) is a rule that is used to associate a number, or quantity with a…

Q: Compute the flow of the vector field F= (x, y) along the portion of the circle of radius 2 centered…

A: We have also plotted curve C over which line integral has to be calculated.

Q: a/ Q ((Laplace)) 1 A²² [5 (5²+25+5)]

A:

Q: What is laplace y(s)=(s^2+2s)/s^4,find y (1)?

A: Use laplace inverse

Q: 7. Stokes' Theorem is a generalization of the (a) fundamental theorem of line integrals. (c)…

A:

Q: Use the full differential to calculate an approximate modulus value. of the vector (5, 8 ; 3, 1 ; 2,…

A:

Q: Calculate the frist order differential of the function f(x,y) = x^{4}*y^{2}+2*x-y^{7}+3

A: First order Partial derivatives

Q: 11. Describe how non-linear terms in the Navier-Stokes equation are modeled in the finite-…

A: We  have shown that how non-linear terms in the Navier-Stokes equation are modeled in the finite…

Q: dx Integrate: J. 3n B. A. EIN

A:

Q: Find the total differential of z= f(x, y), where f(x, y) = In Use * for multiplication of variables,…

A:

Q: The magnetic field B due to a small current loop (which is placed at the origin) is called a…

A: Let S be a surface enclosed by the curve C , then ∬ScurlF→⋅dS→=∫CF→⋅dc→

Q: is Flaiy)= integrahing an 2

A:

Q: Describe any one of the physical system where we can apply Bessel or legendre differential equatin?

A: In the question it is given Legendre and Bessel differential equation. The objective is to…

Q: y +2ry = e c) Find the general solution of the equation using the x^2y = u and transforms, e^x=v

A:

Q: What is the total differential: w = (x^2)(z^2) + sin(yz)

A:

Q: dy اذا كانت y = 3z2 + (sin(z وكان = *3ez؟ 4 : أحسب dx

A:

Q: 82u 82 и = x > 0, t> 0 ах2 д12' u(0,t) = 0, lim u(z,t)=0, t>0 T-00 u(x, 0) = 0, ди Ət = Te x>0 7

A:

Q: Find the Integral of a Vector-Value Function Let 7(t) = (, 3 VE – 2, e ). Evaluate the definite…

A:

Q: Find the Fourier Transform of the signal x(t) where x(t) = e^(-(a/2)t^2). Please do not just use a…

A: To find  the Fourier Transform of the given signal                    x(t)=e^(-(a/2)t^2)

Q: The work done by a sliding piston is given by the expression wd = ∫3t2 + 2t dt use integration to…

A: We need to determine Work done.

Q: nd the average value of on the triangle with vertices (0,0), (1, 1) and (0,1). Should be about. u…

A:

Q: This is not a graded assignment, this is review we did but I do not understand some stuff) I wanted…

A: Vr=4-r2 Use the formula of the integration, ∫xn dx=xn+1n+1+C, n≠-1

Q: 1 Ju'e" du = u'e n-1 eau au Use the formula not integration by parts, a to evaluate / = fx'e*dx

A: The given integral is ∫x2exdx