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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If the continuous cash flow of P dollars per year is withdrawn from the fund, then the rate of decrease of A is given by the differential equation.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?
Show that the following limits do not exist: use def. of convergence or cauchy or epsilon delta
Suzy Sorority agrees to give Joe Student a ride home for spring break. They agree to meet at the corner of 12thst. and Willow.
The function given below is a company's price function, where x is the quantity (in thouands) that will be sold at price p dollars and p = 5 - 1n x
The parametric equations of a curve are. Find the value of ? at A and the value of ? at B.
In this equation, c is effective heat capacity, T temperature, t time, Teq is equilibrium temperature, v, a0 and w are constants.
From your position, an airplane is moving away from you horizontally at 60 km/hr and vertically at 1km/hr.
Consider the functions f (x,y) = 3x2 - 4xy + y2 and g(x , y) = 5x2 - 4xy + y2 consider the problem of optimizing f(x,y) subject to the constraint g(x,y) = 4.
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y= 3/(x+1) , y=0 , x=0, and x=3 about the x-axis.
A Florida citrus grower estimates that if 60 orange trees are planted, the average yield per tree will be 400 oranges.
At what rate is revenue changing when 3,000 calculators are produced? Is revenue increasing or decreasing at this level of production?