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Set up but do not solve a differential equation that models the amount of salt in the tank for the following: A tank, having a capacity of 700 liters
Compare this value with the analytical value and discuss how the approximate value obtained by Euler’s method may be improved.
Find the volume of the solid generated by revolving R around the y-axis by the method of cylindrical shells.
A small town has 1100 inhabitants . At 8am , 100 people have heard a rumor. By noon half the town has heard it.
Use one-sided limits to find the limit or determine that the limit does not exist.Provide complete and step by step solution .
Consider a projectile of mass m which is shot vertically upward from the surface of the earth with initial velocity V.
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.
Prove that if y1 and y2 achieve a maximum or a minimum at the same point in I, then they cannot form a fundamental set of solutions on this interval.
An object moves along the x-axis with initial position x(0)=2. The velocity of the object at time t is greater than or equal to 0 is given by v(t)=sin((p/3)t).
They need to know how much material will be required to construct the main support cables and what sort of cable they need to buy.
Water is the most important substance on Earth. One reason for its usefulness is that it exists as a liquid over a wide range of temperatures.
Determine the (x,y) coordinates and the value of the parameter at the point(s) where the slope of the tangent line to the curve is 4.
If f(x) is concave up for all x and g(x) is concave down for all x, what can you say about the concavity of f(x) + g(x)?
As an epidemic spreads through a population, the number of infected people, I, is expressed as a function of the number of susceptible people.
The total cost of producing q units of product is given by C(q) = q3 - 60q2 +1400q + 1000 for 0 < q <= 50; the product sells for $788 per unit.
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.