Consider the Relmann sum for f(x) = x² + 3x over the Interval [0, 8] (see figure), where x₁ = 0, x₁ =1, x₂ = 2, x₂ = 5, and x = 8, and where G₂₁ = ¹, ₂₁₂ = 2₁ C₂ = 4, and c₁ = 8. y 100+ 80 3 8 10 20 Find the width Ax, of each corresponding subinterval [x, X₁]. Ax₁ = 1/2 4x₂ = 0.5 x 4x3 1.5 X Ax 1.5 X Find the following values of f(x). f(c₂) =4 F(<₂) 10 F(C3) 28 f(₂)= = 88 Find the Relmann sum for f(x) = x² + 3x over the Interval [0, 8]. 181 X 11 = 40 20 11

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the Relmann sum for f(x) = x² + 3x over the Interval [0, 8] (see figure), where
x = 0, x₁ = 1₂ x₂ = 2, x₂ = 5, and x = 8,
4
and where
G₂₁ = 1,₁5₂₁₂= 2₁ G₂₁ = 4, and C₁ = 8.
100
80
40
8
10
Find the width Ax, of each corresponding subinterval [x, ₁x,].
Ax, = 1/2
X
Ax₂ = 0.5
x
Ax3 = 1.5
X
Ax4 =
1.5
X
Find the following values of f(x).
f(c₂) = 4
f(c₂) = 10
f(<3) = 28
f(<₂) 88
Find the Relmann sum for f(x) = x² + 3x over the Interval [0, 8].
181
Transcribed Image Text:Consider the Relmann sum for f(x) = x² + 3x over the Interval [0, 8] (see figure), where x = 0, x₁ = 1₂ x₂ = 2, x₂ = 5, and x = 8, 4 and where G₂₁ = 1,₁5₂₁₂= 2₁ G₂₁ = 4, and C₁ = 8. 100 80 40 8 10 Find the width Ax, of each corresponding subinterval [x, ₁x,]. Ax, = 1/2 X Ax₂ = 0.5 x Ax3 = 1.5 X Ax4 = 1.5 X Find the following values of f(x). f(c₂) = 4 f(c₂) = 10 f(<3) = 28 f(<₂) 88 Find the Relmann sum for f(x) = x² + 3x over the Interval [0, 8]. 181
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