The function f is continuous son the interval [2, 10] with some of its values given in the table below. use a right riemann sum approximation with 4 rectangles to approximate the integral from 2 to 10 of f of x dx.

x 2 4 7 9 10
f(x) 0 3 8 15 18

answer choices:
30.5
78.0
40.0
59.0

The 4 subintervals are given: [2, 4], [4, 7], [7, 9], and [9, 10].

Each subinterval has length: 4 - 2 = 2, 7 - 4 = 3, 9 - 7 = 2, and 10 - 9 = 1.

Over each subinterval, we take the value of the function at the right endpoint: 3, 8, 15, and 18.

Then the integral is approximately

so 78.0 is the correct answer.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.