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A wholesaler that sells computer monitors finds that selling price "p" is related to demand "q" by the relation p=280 - .02q where p is measured in dollars.
Let f(x) = x + sin 2x on [0, 2 pie] find two numbers (c ) that satisfy the conclusion of the Mean Value Theorem.
Use the function V(x,y) = x2 + y2 to analyze the stability properties of the zero solution of the nonlinear system.
Solve y'' + y = v2Sin(t v2), with y(0) = 10 and y' (0) = 0 using the method of the LaPlace Transform.
Let A be any constant. Write down a differential equation satisfied by g(x)=f(A)f(x), and also give the value of g(0).
Find the limits using L'hopitals rule where appropriate. If there is a more elementary method, consider using it.
The plane, 4*x - 3*y + 8*z = 5, intersects the cone, z^2 = x^2 + y^2, in an ellipse. Graph the cone, the plane and the ellipse.
The family dog is walking through the backyard so that it is at all times twice as far From A as it is from B. Find the equation of the locus of the dog.
This problem must be solved using maple 10 (or 9) please show all work and data entries and outputs.
In the problem, use Euler's method to obtain a four decimal approximation of the indicated value. Carry out the recursion of (3) by hand, first using h = 0.1.
Determine the equilibrium point. Sketch the graph of the demand and supply functions on the same set of axes showing the equilibrium point.
From a group of seven boys and three girls, a boy and a girl will be selected to attend a conference. How many ways are possible?
What is the volume of the solid of revolution obtained by rotating the region bounded by y = 1 and y = 5 – x2 around the X-axis.
Consider a right cylinderical hot tub. Radius = 5 feet; Height = 4 feet; placed on one of its circular ends.
A 24 foot chain, weighing Y lbs/foot of length, is stretched out on a very tall frictionless table with 6 feet hanging over the edge of the table.
Water containing 1 lb. of salt per gallon is entering at the rate of 3 gal./min. and the mixture flows out at a rate of 2 gal./min.
What dimensions will maximize the enclosed area? Be sure to verify that you have found the maximum enclosed area.
Let log be principal branch of the logarithm. Show that log(M(z)) is defined for all z in C with the exception of the linesegment from ia to ib.
A hospital has seven large identical heat pumps. If one of the heat pumps malfunctions, it could seriously impact hospital operations.
Find the LaPlace transform of the following signal examples v2 * cos[200p(t -1/800)) If the signal above was written like this, can a time delay be applied?
Solve y''+4y'+4y=g(t) using Laplace transforms.... y(0) = 2; y'(0)=-3. Express the answer in terms of a convolution integral.
If a, b and c are all positive constants and y(x) is a solution of the differential equation ay''+by'+cy = 0, show that lim x->infinity y(x) = 0
What are the restrictions on k such that there is a nontrivial solution? Find a solution using eigenfunction expansion on [0,p]
This has to be converted to a Sturm-Liouville equation and then solved y'' + 2*y' + (1+k)*y = 0 BC: y(0) = y(1) =0
A stock currently trades with a beta of 1. Company management is considering a bold new venture that will greatly increase the stock's perceived risk.