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Graphs of rational functions and in particular asymptotes
In photography fixed focal length means that the focal length is not adjustable. Photographers are unable to zoom in and out on a particular subject when using such a lens. Not being able to easily zoom in on a subject might seem like a huge disadvantage. But such lenses are credited with being able to produce much higher quality pictures in controlled settings.
In order for a film camera with a fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a distance y behind the lens. F, y, and x are related as follows
1/F = 1/X =1/Y
Now suppose a camera has a lens with focal length F = 65.
1. Explain what happens to the focusing distance y as the object moves far away from the lens.
2. Explain what happens to the focusing distance y as the object moves closer and closer to the lens.
3. In general, why can rational function cross a horizontal asymptote and why can it not cross a vertical asymptote?
A rectangular swimming pool 60 ft long, 10 ft wide, and 12 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3..
What are the expectations and variances of X and Y and using the central limit theorem and the table of the standard normal cdf, approximate the probability that more than 110 defective widgets are made in a day.
Sketch the base-five pieces and each of the subtraction models to determine the following differences. Record sketches of your work and record the base-five numeral for each difference.
bullbefore beginning this homework be sure to read the textbook readings and the module notes.bullfor additional
write and solve an equation to determine the selling price of the house. jamie sold her house for x dollars. the real
from a boat on the lake, the angle of evelvation to the top of a cliff is 29 degrees and 26 minutes. if the base of the cliff is 1878 feet from the boat, how high is the cliff?
A sample random sample of sixty times resulted in a sample mean of eight & a sample standard deviation of fifteen. Compute 95 percent confidence interval for population mean.
The temprature recorded in a city during a given day approximately followed the curve of T=0.00100t^4-0.280t^2+25 where t is the number of hours from noon
When you subtract one number from another, the answer is always less than both of the numbers in the subtraction problem. Support or disprove this statement with examples.
Why is it stated that LIFO usually produces a lower gross profit than FIFO and prepare all necessary entries in general journal form for Sanford Corp.
A ship travels due west for 550 km then travels N40 degrees west. (bearing 320) For 700 km. How far is the ship from its staring point?
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
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