Signed Cubism

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 !

El Greco

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