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satela [25.4K]
3 years ago
12

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
Mathematics
2 answers:
Marta_Voda [28]3 years ago
8 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

\displaystyle\int_2^{10}f(x)\,\mathrm dx\approx3\cdot2+8\cdot3+15\cdot2+18\cdot1=78

so 78.0 is the correct answer.

pogonyaev3 years ago
7 0

Answer:

LammettHashAce

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.

Step-by-step explanation:

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