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Suppose that f has a domain of [9, 18] and a range of [6, 18]. What are the domain and range of the functions below?
(a) y = f(x) + 4
Domain: __________
Range: ________________
(b) y = f(x + 4)
Range: ___________
(c) y = f(4x)
(d) y = 4f(x)
Range: _________
Find the exact average value of f(x)=1/(x + 1) on the interval x = 0 to x = 2. Sketch a graph showing the function and the average value.
Express the distance (d) traveled as a function of the number of hours (h) at an average speed. The Morris family is traveling from Providence to Fredricksburg.
A technician records 4.4 s as the time for a robot arm to swing from the extreme left to the extreme right, 2.72 s as the time for the return swing.
Let n be any positive integer. Motivated by 2(a), suggest a general result concerning n houses and 2 utilities. Draw a graph supporting your answer.
The Lotka-Volterra model can be modified to model the effect of disease or competition.
For each of the following closed forms, write out the first several terms of the sequence (at least five) and use this to create a recursion for the sequence.
Find the volume of a solid that is generated by rotating the region formed by the graphs of y=x^2, y= 2, and x = 0 about the y-axis?
When Chase runs the 400 meter dash, his finishing times are normally distributed with a mean of 64 seconds and a standard deviation of 3 seconds.
Find the average value of the function f(x) = cos^3x on the interval 0
Let f = 2?cv/c. Show that a?c is approximately equal to ?c +f. It follows then that, for ? > 0, F(?), the Fourier transform of the echo f(t).
What are the pros and cons (from the employer perspective) of conducting executive searches in-house versus outsourcing the function? What are the pros and cons of internal versus external excutive search form the applicant's perspective?
in a local district 800 republicans, 500 democrats and 200 independent voters. if a voter is chosen at random what is the prabability that the voter selected is not republican?
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