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Sketch the graph of the function, indicating all critical points and inflection points. Apply the second derivative test at each critical point. Show the correct concave structure and indicate the behavior of f(x) as x →±∞, for f(x) = 4x5 - 5x4.
IQ scores are normally distributed with a mean of100 and standard deviation of15. what percent of IQ score are within 9 points either above or below the mean?
The dimensions of a rectangle are such that its length is 5 in more than its width. If the length were doubled and if the width were decreased by 2 in., the area would be increased by 52 in squared. What are the length and width of the rectangle?
Find the slope of the curve at the given x-value. Give a decimal answer rounded to 3 decimal places.
the state income tax on your business is 820 plus 0.08 times your profit. you made a profit of 64860 last year. find
After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled. What is the maximum concentration of the antibiotic during the first 12 hours?
Integral of e^(2x)*cos(3x)dx, what are you determining factor in choosing which to set to what?
Write an equation of the line which contains the given point, and is parallel to the given line:
1. graph each function then specify its domain range x and y intercepts vertical and horizontal asymptotes relative
Find the angle between the diagonal of a cube of side length 18 and the diagonal of one of its faces. The angle should be measured in radians.
Test to see if population means are the same or different
What was the acceleration of the car, assuming it was constant? (Round your answer to two decimal places.)
Break-even analysis: The following table contains price-demand and total cost data for the production of treadmills, where p is the wholesale price (in dollars) of a treadmill for an annual demand of x treadmills and C is the total cost (in dollar..
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