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A poster of total area 256 in2 is to have a margin of 4 inches at the top and bottom and 1 inch at each side.(a) Find the dimensions of the poster which give the largest printed area.
Consider the function f(x)=kx/(100-x), where f(x) is the cost incurred to remove x% of a pollutant from an environment. Examine the behavior near the vertical asymptote, and discuss the ramifications behind this.
what is the value of k? The initial population at time = 0? the size of the bacterial population after 5hours?
Does the breakfast revenue seem to increase as the number of occupied rooms increases? Draw a scatter diagram to support your conclusion.
You are experimenting with designs for a fruit bowl with a square base. The general idea is to attach congruent regular polygons to the sides of the base and "fold them up" until the closest edges of adjacent polygons meet.
Town A is due south of town B, and their latitudes are 50 degrees N and 32 degrees N, respectively. Use 4000 miles as the radius of the earth and find the distance between the two cities, rounded to the nearest 10 miles.
Find the equation of the tangent line to the curve
A ball drops from a height of 20 feet. Each time it hits the ground, it bounces up 70 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
if the radius of a circle is 14 inches and the arc of the circle is 30 degrees. what is the area of the shaded sector in between?
What similarities and differences do you see between functions and linear equations that you studied in Chapter 3? Are all linear equations functions?
Find the solutions of the exponential equation
Identify the variables and determine the system of equations. Use the Gauss-Jordan elimination method and solve the system of equations
Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
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