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Solve the given problems by finding the appropriate derivative.
Sketch the graph of y = ln sec x marking that part which is the path of the roller mechanism of Exercise 32.
Demand for pools. Tropical Pools sells an aboveground model for p dollars each. The monthly revenue for this model is given by the formula R(p)=0.08p2 +300p.
find the centroid of a thin, flat plate covering the region enclosed by the parabola y^2=x and the line x=2y.
Write the area of the shaded region in terms of θ. Write the ratio R of the area of ΔABD to that of the shaded region. Find the following limit. limitθ→0 R.
For each linear model, discuss the meaning of the slope and y intercept. Using your most preferred linear model, predict sales for the next four weeks. Provide backup computation.
Take 4900 draws from this distribution. Graph the histogram & give the mean and variance of this sample. (Hand in only the histogram and the results for mean and variance).
find the perimeter of a trapezoid 1z=1 3/4, 2z=2 3/4, 3z=1 3/4, 4x=1 1/2
[Applied Combinatorics]Give an example of a non-planar graph with 7 vertices and prove it is indeed non-planar.
calculate the flat rate interest per annum when $2000 to be paid in 52 weekly instalments of $42.50
The regression equation relating dexterity scores (x) and productivity scores (y) for the employees of a company is y=5.50 + 1.91x. What is the best predicted productivity score of 32.
Suppose that x and y are related by the equation x3y7 = x + y + 1 and use implicit differentiation to determine dy/dx
A wooden artifact from an ancient tomb contains 80 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
Read the case Dunkin' Donuts Betting Dollars on Donuts beginning on page 451 of your text.
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