### Consumer and Producer Surplus

Problem and example are attached Consumer and Producer Surplus: Find the consumer and producer surplus for the case below: Demand: P1(x) = 1000 - 0.4x62 Supply: P2(x) = 42x.

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Problem and example are attached Consumer and Producer Surplus: Find the consumer and producer surplus for the case below: Demand: P1(x) = 1000 - 0.4x62 Supply: P2(x) = 42x.

See attached page Evaluate the triple integral. Triple integral xydV over E where E is the solid tetrahedron with vertices (0, 0, 0), (0, 1, 0), (1, 1, 0), and (0, 1, 1)

Use a double integral to find the area of the region. Above the cone z=squareroot(x^2 + y^2) and below the sphere x^2 + y^2 + z^2 = 1

See attached page for integrals Evaluate the given integrals by changing to polar coordinates.

Please help on these problems section 5.4 # 2,4,8,12,28,33 Thanks attach is the reference Verify that the pair s(t), y(t) is a solution to the given system... Find the critical point for the given system... Determine the integral curves for the given system.... Solve the phase plane equation...

I need help integrating the following problems. I have attached them in a file. Please show step by step solutions. 1. 2. 3. Note: Plug in answer from question 2 into the blank space in question 3 and integrate question 3

Evaluate the integral by reversing the order of integration (see attachment for integral)

Sketch the region of integration and change the order of integration for the attached problems.

Find the maximum and minimum values of: f(x1, x2) = int(1/(1+t^4), t = x1..x2) over the region determined by (x1)^2 * (x2)^2 = 1 (attached is a .jpg version of the function)

Let be the unit circle, followed in the positive direction. Evaluate the integral. Please show all steps to the solution.

Let S be the part of the plane z = 2x + y + 5 inside the cylinder x^2 + y^2 = 1 with the normal oriented upwards, and let F := xi - zj - yk. see attached file for problem. Thanks you

I am having problem integrating this problem. Please help me solve this and show all steps.

See attached evaluate the integral

See attached Compute the area of the region that lies inside the polar curve...

A particle is set in motion at time t=0 and moves to the right along the x-axis. (a) Suppose that its acceleration at time t is a=100e^(-1). Show that the particle moves infinitely far to the right along the x-axis. (b) Suppose that its acceleration at time t is a=100(1-t)e^(-1). Show that the particle never moves beyond a c

The figure shows the region bounded by the x-axis and the graph of. Use Formulas (42) and (43). Which are derived by integration by parts? To find (a) the area of this region; (b) the volume obtained by revolving this region around the y-axis. Formula (42) Formula (43). See the attached files.

See attachment for problem

Evaluate the integral: Int [(1+t^2)i + (-4t^4)j - (t^2 - 1)k]

I am trying to integrate the attached function ( a version of Weibull distribution). I have the solution in Maple -- I think. But I cannot prove it. Tried Integration by parts but still missing something. Please Integrate with respect to y. If it is not clear from the pdf the function is basically : a/b * y ^ (a-1) * e^(-(y

See attached problem. Integrate from 0 to 3, (pi*x/100)*(sin(pi*x^2/9))dx.

Please see attachment for full description. Please show detailed steps of how to evaluate the following integrals. (1) [e^x - e^(-x)] / [e^x + e^(-x)]dx (2) 1/[x^(2/3)* (1+ x^(1/3))]dx (3) 1/[1 + sqrt(2x)]dx

Please show detailed steps of how to evaluate the following integrals. Thank you. (i) (ii) Thank you.

Please see attachment. Show detailed steps of how to evaluate the following integrals 1. (x +1)e^(x^2 + 2x)dx 2. (tanx)^4 * (secx)^2dx

The problem reads: 1)Plot the following functions on the same coordinate system with the given domain and range. y = x^4 - 2x^2 and y = 2x^2 -4 <= x <= 4 -2 <= y <= 10 2)I am then to set up the definite integral that gives the area of the region bounded by the graphs of the functions. I had no trouble plotting th

The problem reads: 1)Plot the following functions on the same coordinate system with the given domain and range. y = x^4 - 2x^2 and y = 2x^2 -4 <= x <= 4 -2 <= y <= 10 2)I am then to set up the definite integral that gives the area of the region bounded by the graphs of the functions. I had no trouble plotting th

[See attached integral problem.] Integrate e^(t^2) dt

Integrate: x / (sq. root (1 + 2x)) dx from 0 to 4

Integrate: cosxsin(sinx)dx from 0 to Pi/2

Integrate sinx / (1+cos^2(X))

Integrate [(sinx +sinxtan^2(X)) / sec^2(X) ]dx evaluate from 0 to Pi/3