Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = π/2 using four approximating rectangles?
Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints. Next solve using left endpoints.
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f(x)=2*cos(X)
n=4:
0: 2 × 0.392699082 = 0.785398163
1: 1.847759065 × 0.392699082 = 0.725613288
2: 1.414213562 × 0.392699082 = 0.555360367
3: 0.765366865 × 0.392699082 = 0.300558865
Total: 2.366930683644275
1: 1.847759065 × 0.392699082 = 0.725613288
2: 1.414213562 × 0.392699082 = 0.555360367
3: 0.765366865 × 0.392699082 = 0.300558865
4: 0 × 0.392699082 = 0
Total: 1.5815325202468267
algebra and graphin exciting (sarcastic!) x+2=0 this skill that x=0-2 (do no longer understand in case you have been taught this way, you deliver a style over leave the variable on my own and as quickly as the type crosses the =, you cange the sign) so the place have been we? x=0-2 hence... x=-2 X, for the x axis, could run horizontally and your graph could look somthing like this (no set Y element) Y | | | | | | | | | attempt to pretend the | is in line with the others *_ _ |_ _ _ _ _ _ _ _ _ _ x | | | | | | | | | | The * being the plot element wish this facilitates somewhat :)