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Find the radius of convergence of the series. Provide complete and step by step solution for the question and show calculations and use formulas.
What is the height of each tower above the roadway? What is the length of z for the cable bracing the tower?
Find, in terms of a, the equation of the line tangent to the curve at x = -1 (use point slope)
Eliminate the arbitrary constants from the equation: y = Ae^x + Be^2x + Ce^3x. Make sure to show all of the steps which are involved.
A solid metal sphere at room temperature of 20 degrees Celsius is dropped into a container of boiling water (100 degrees Celsius).
Find the width of the box that can be produced using the minimum amount of material . Round to the nearest tenth , if necessary.
Determine the value of ?s(units - kJ/ kg) if T1 = 320K , T2 = 450K and cp = 1.005 kJ / kgK.
Continuous function on the interval (a,b). Find the solution to this differential equation in the form u = integral from a to b (G(x,s) r(s) ds) and determine G
Find the eigenvalues and eigenfunctions of the boundary-value problem.
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.