Signed Cubism

Find the area of the region bounded by the graphs of y = x^2; x = 0; x = 2; and the x axis. Your Answer: 8/?
8. Find the area of the region bounded by the graphs of y = x^2; x = 0; x = 2; and the x axis.
Your Answer: 8/3
This can be found by integrating the equation y = x^2 from 0 to 2. 8/3 – 0/3 = 8/3.
68% of players have answered correctly.
10. If f(x) = x^3 – 2x^2 + 4x + 1, how many inflection points does this graph have?
Your Answer: 1
It has one at x = 2/3, where the second derivative equals zero. The point is indeed an inflection point because the second derivative, 6x – 4, changes signs at x = 2/3 and thus the graph changes concavity.
36% of players have answered correctly.
History
Rembrandt = realism.
Van Gigh = impressionistic
Picasso = cubism
Very impressive ! For sure you know your mathematics !
Michael Arnold Art- with music by Coldplay
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Cubism and American Photography (Signed First Edition) … |