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Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. The decoration has a mass of 5 kg.
Find the amount of salt in the tank at any time prior to the instant that the tank begins to overflow.
dV = r2*sin?drd?d(F) can you derive this for me i.e. using a differential of volume and spherical coordinates show how this equation is arrived at?
The support could be in the shape of a parabola or a semi-ellipse. An empty tanker needs a 250 foot clearance to pass beneath the bridge.
Determine the following solutions of this equation, or explain why none exist.The solution y = y(t) satisfying y(1)=0, y'(1)=2
Using an appropiate transform solbe the boundary value problem, with boundary conditions.
Let ? be given on 0 = u = 1 by (x,y)=(1-u,u) The vector field (F1(x , y),F2 (x , y)) is a gradient field.
The roots of the auxiliary equation corresponding to a certain 12th order homogeneous linear equation with constant coefficients .
Two models, R1 and R2, are given for the revenue (in billions of dollars per year) for a large corporation.
Consider the differential equation where y(0)=dy(0)/dt and u(t) is a unit step. Determine the solution y(t) analytically.
Physical constraints prevent the windpipe contracting below half its normal radius. Sketch the function v(r) and determine the optimal coughing radius.
f(x,y)= x^2 + 2xy + 3y^2, D is the closed triangular region with vertices (-1,1), (2,1), and (-1,-2)
Write a model of the debt as a function of t. What was the average mortgage debt outstanding for 1993 through 2002?
Find the average daily revenue during the first quarter which is given by 0 < t < 90
If the continuous cash flow of P dollars per year is withdrawn from the fund, then the rate of decrease of A is given by the differential equation.
Explore the following function. You are to decide which of threee lines given are tangent to the graph of f(x) at given points.
Suppose you want to conduct a survey of the attitude of psychology graduate students studying clinical psychology toward psychoanalytic methods.
Solve the differential equation y4 - 2y'' + y'' = 1+ex using the undetermined coefficients method.
Identify the inflection points, local max and min of the function and intervals of concave up and down.
Suppose that the function f(x) and its first derivative have the following values at x = 0 and x = 1
The Valve Division of Bendix, Inc, produces a small valve that is used by various companies as a component part in their production.
Consider the region bounded by y = x^2, y = 3, and the y-axis. Find the volume of the solid obtained by rotating the region around the y-axis.
Apply the theorem: let (Xsubn) be a sequence of positive real numbers such that L := lim(Xsubn+1/ Xsubn) exsists. If L>0 then (Xsubn) converges and lim(Xsubn)=
A radioactive substance decays exponentially, If 500 grams of the substance were present intially and 400 grams are present 50 years later
If a home loan is made for $165,000 at 6% annual interest, compounded monthly, for 30 years, What is the montly payment on this loan?