or 400 yeast celis 300 100 0 2 4 6 8 10 12 14 16 18 Time (in hours) 11. The tabl

Question

or 400 yeast celis 300 100 0 2 4 6 8 10 12 14 16 18 Time (in hours) 11. The table gives population densities for ring-necked pheasants (in number of pheasants per acre) on Pelee Island, Ontario. (a) Describe how the rate of change of population varies. (b) Estimate the inflection points of the graph. What is the he significance of these points? 1927 1930 1932 1934 1936 19381940 4.8 3.5 3.0 P( 0.10 0.6 2.5 4.6 4 moving along a horizontal straight line. The graph of its position function (the distance to the right of a fixed point as a function of time) is shown. (a) When is the particle moving toward the right and when is it moving toward the left? does it have negative acceleration? 4 et K(t) be a measure of the knowledge you gain by studying r a test for t hours. Which do you think is larger, K(8) - K(7) K(3) K(2)? ? Is the graph of K concaye upward or concave

Explanation / Answer

a)
From 0 to 2 x is increasing so velocity is positive
From 2 to 4 x is decreasing so velocity is negative
From 4 to 6 x is increasing so velocity is positive
When the velocity is positive, the particle will move towards right and when the velocity is negative, the particle will move towards left.
Answer: From 0 to 2 and from 4 to 6 its moving towards right.
From 2 to 4 its moving towards left.
b)
The given graps is concave down from x = 0 to x = 3 and concave up from 3 to 6.
between 0 to 3 velocity starts decreasing, becomes 0 at x = 2 and then becomes negative
so acceleartion is negative for 0 to 3 and it is positive from 3 to 6

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