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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?
Suppose consumers' demand function a commodity D(q)=50-3q-q2 dollars per unit. Find the number of units that will be bought if the market price is $32 per unit.
Write down the equation of a sinusoidal function f with the mean value: -1, amplitude 5, the period 4 pi and f(0) = -1
A truck is traveling away from the transmitter along the highway at a speed of 80 km per hour. How fast is the distance between the truck.
Find an expression for the tax revenue (e.g. tQ) maximizing t in terms of the parameters of the model.
Find the interval on which the function f is increasing and or is decreasing and label the local maxima and minima if there is a global extrema.
How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 40% antifreeze?
Compute the elasticity of demand for the given demand function D(p) and determine whether the demand is elastic, inelastic.
Find the values of a and b for the polynomial f(x) = 2x^3 + ax^2 - 4x + b, given that f(x) is divisible by x+1 and x-3. Write f(x) in a factorised form.
Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value x = c.
It takes 8.4 minutes to make one revolution. Assuming it starts on the positive x-axis, what are the coordinates of the point in 7.4 minutes?
Find the volume of the unbounded solid generated by rotating the unbounded region around the x axis.
Find the intersection point of the line (x-1)/2=(y+1)/3=z-2 and the plane 2x+y-z=17.
Find the volume of the solid generated when the region y=x^-1/2 on the interval [1,4] is revolved about x-axis.
How far does the rock fall in 2 seconds if you throw it downward with an initial velocity of 40 feet per second?
Sand falls from an overhead hopper to form a right circular cone. If the cone formed has an angle a find the rate of change of volume with respect to height?