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Green's function

Hello. Thank you for taking the time for helping me. The following is the problem which I need to solve (there are actually two parts): I need to construct Green's function for the Dirichlet problem (Laplace's equation) in the upper half plane R={(x,y) : y>0} and I must derive Poisson's integral formula for the half plane.

Integration (10 Problems)

A) (e^x/((e^x+2)^(1/2))dx between 0.5,0 b) (x^2/((1-2x^3)^(1/2))dx c) (sin^5(x))dx between ((3.14/2),0) d) (x^2 cos(x))dx e) (1/((2x+5)(1-3x)))dx f) (3x-4/((x-2)(x+1))) dx between the limits 5,4 g) (4x.e^(-4x))dx between the limits 1,0 h) (3x.sin(3x))dx i) (sin(4x) - 4cos(3x)

Business Statistics

Please see attached. Hi, I am having trouble doing these problems listed below. Please show me how to solve these problems for future reference. Thank you very much. I would like for you to show me all of your work/calculations and the correct answer to each problem. For Exercise 2, find the mode of the probabili

Laplace transformations

I am looking for the solution of this transformation I need a detailed solution. Also I would like to see the original formula for the Laplace transformations needed. If f(t) is a periodic, continuous function with period T>0, show that its Laplace transform is... Please see attached.

Computing areas and volumes using multiple integrals.

(1) Find the volume of the solid bounded by the paraboloid x2 + y2 = 2z, the plane z = 0 and the cylinder x2 + y2 = 9. (2) Find the volume of the region in the first octant bounded by x + 2y + 3z = 6. (3) Find the area of the solid that is bounded by the cylinders x2+z2 = r2 and y2+z2 = r2. (4) Find the volume enclosed by t


A) Find the indefinite integrals of the following functions. Please see attached questions, please can you show your working to help me understand. thanks

Revenue Function and Definite Integral of Revenue Function

Revenue at day D = (200 + 10D - 100P)*P D refers to the day, with Monday being 1, Tuesday 2, etc up to Friday with a value of 5. The assignment is as follows: 1. If you are charging $1 per cup, what is your revenue for each of the five days? What is your total revenue for the week? 2. What is the indefinite integral

Integration Techniques and Applications

1. Find the indefinite integrals for the following functions: a. f(X) = 10000 b. f(X) = 20X c. f(X) = 1- X2 d. f(X) = 5X + X-1 e. f(X) = 12- 2X f. f(X) = X3 + X4 g. f(X) = 200X - X2 + X100 2. Find the definite integral for the following functions: a. f(X) = 67 over the interval [0,1] b.

Force and Opposing Force : Find maximum speed attained and distance travelled.

A particle of mass 10kg, moving in a straight line, starts at rest from a point A under the action of a force that decreases uniformly from 20N to zero in 20 secs. It then travels with a constant speed for a further 20s, and finally moves under the action of an opposing force of 40N until it comes to rest at B. Find the maximum

Definite Integral as the Limit of a sum BrainMass Expert explains

Calculus Integral Calculus(I) Definite Integral as the Limit of a sum Method of Summation Definite Integral It is an explanation for finding the integral by using the method of summation(part I). Find by the method of summation the value of: (a) ∫ e^( - x)dx, where the lower limit is a and the upper limit is b


In the attached file I need to differentiate equation 9 two times so that it looks like equation 8. Please show me this step by step. (for Harmonic Motion terminology see attachment)


Integrate the following function by substituting Having trouble finding a solution when substituting x=(1-t)/(1+t). Please see attached.