Mathematics, 29.10.2019 05:31, yellowsea84

Consider the graph of f described by the equation f(x) = 1 / 2 x2 for 0 ≤ x ≤ 10.
a. find the area of the 10 rectangles with height f(i) and width 1, for i = 1, 2, 3, … , 10.
b. what is the total area for 0 ≤ x ≤ 10? that is, evaluate ∑ f(i) ⋅ δx 10
i=1 for δx = 1.
c. draw a picture of the function and rectangles for i = 1, 2, 3.
d. is your approximation an overestimate or an underestimate?
e. how could you get a better approximation of the area under the curve?

Answers: 1

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Consider the graph of f described by the equation f(x) = 1 / 2 x2 for 0 ≤ x ≤ 10.
a. find the...