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yulyashka [42]
3 years ago
7

1. Calculate the Riemann sum for f(x) = sqrt(x) on the interval [0, 10] using the partition {0,2,5,10} and c 1 =1 , c 2 =4 , and

c 3 =9 .
Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

Answer:

Riemann Sum = 13

Step-by-step explanation:

Step1 : Calculate the widths of the sub intervals

Δx₁=2−0=2

Δx₂=5−2=3

Δx₃=10−5=5

Step 2: Calculate the values at the sample points

f(1) = \sqrt{1} = 1

f(2) = \sqrt{4} = 2

f(3)= \sqrt{9} = 1

Riemann Sum = Δx₁f(1) + Δx₂f(2) + Δx₃f(3) = 2*1 + 3*2 + 5*1 = 13

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the equation that we can solve using the given system of equations is:

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Here we have the system of equations:

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We can simplify it to get:

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