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A conical bin must have a volume of 2500 ft^3. The circular base is made of a concrete slab, which will cost $1.30 per square foot, and the material for the side costs $3.50 per square foot. Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on your calculator.
Find the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication
Until recently, with the advent of cellular phones, modems, and pagers, the area codes in the United States and Canada followed a certain system
Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). Draw a graph of the following linear function and give the domain and range:
water flows from a container at the rate of 2.5 litres per minute. The water flows into a tank that already holds 50 litres. How long in seconds is it before there are 765 litres of water to be in the tank?
A farmer wants to fence o a rectangular ?eld and then divide the ?eld in half with a fence down the middle (see diagram below). If he can only aord 240 ft. of fencing material, what is the width y which gives the maximum area of the ?eld?
Find the price function p(x) , where x is the number of the television sets sold per week.
Calculate the mean of the sample means and compare it to the population mean.
Utilizing malthus method, Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days
Give the horizontal asymptotes. Graph the function by dividing the axis and tell if the graph is above or below the axis for it's intervals.
Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?
if f and g are differentiable function on [a,b], what identifies the extrema of f+g or fg. Do these extrema relate to the extrema of the functions?
How do you interpret the solution of a system of equations by the corresponding graph? Is there a basic difference between solving a system of equations by the algebraic method and the graphical method? Why?
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