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Consider the function below. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.)
f(x) = x2 / (x - 4)2
(a) Find the vertical and horizontal asymptotes.
(b) Find the interval where the function is increasing.
Find the intervals where the function is decreasing. (Enter the interval that contains smaller numbers first.)
(c) Find the local minimum value.
(d) Find the inflection point.
Find the interval where the function is concave up. (Enter the interval that contains smaller numbers first.)
Find the intervals where the function is concave down.
Calculate the derivative of trigonometric function.
Find the length of an arc intercepted by an a central angle of .769 radian on a circle with radius 11.4cm.
Poisson Distribution: Birth-Death Process. The McDougal Sandwich Shop has two windows available for serving customers, who arrive at a Poisson rate of 40/hr. Service time is exponentially distributed with a mean of 2 min.
Suppose the growth rate of population is 0.7944 per member per day. Let the population have 2 members on day zero. Find the population size at the end of 5 days.
Compute the derivative of the function using the difference quotient and find the equation of the line that is tangent to its curve for x=c
The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1,2,2) is 120 degrees.
one cell phone company charges 0.10 per minute with no activation fee. another cell phone service charges 0.05 per
A Wal Mart can sell 200 TV's per month at $300 each, but market research has determined that it can sell one more unit per month for each $2 reduction in the price of a set. At what price would revenue be maximized?
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
what is the slope of the line perpendicular to 2x=4478
Based on P(students identifying Picasso painting) from part (a), predict how many of the 300 students would be able to identify a painting by Picasso before the field trip?
How long should the company's dishwashers be guaranteed if the company wishes to replace no more than 2% of the dishwashers?
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