Question

type integers or decimals. do not add. type the terms of your expression in the same order as they appear in the original expression.

Answer 1

Sum of terms = -4.0 + 4.0 + 8.0 + 12.0 = 20.0

Step-by-step explanation

Σ f(xᵢ) Δx

f(x) = 4x - 8

Δx = 0.5

x₁ = 0

x₂ = 4

x₃ = 6

x₄ = 8

when i = 1

x₁ = 0

f(x₁) = 4x₁ - 8

f(x₁) = 4(0) - 8

f(x₁) = 0 - 8

a₁ = f(x₁) = -8

when i = 2

x₂ = 4

f(x₂) = 4x₂ - 8

f(x₂) = 4(4) - 8

f(x₂) = 16 - 8

a₂ = f(x₂) = 8

when i = 3

x₃ = 6

f(x₃) = 4x₃ - 8

f(x₃) = 4(6) - 8

f(x₃) = 24 - 8

a₃ = f(x₃) = 16

when i = 4

x₄ = 8

f(x₄) = 4x₄ - 8

f(x₄) = 4(8) - 8

f(x₄) = 32 - 8

a₄ = f(x₄) = 24

Σ f(xᵢ) Δx

= Δx Σ f(xᵢ)

= 0.50 [-8 + 8 + 16 + 24)

= -4.0 + 4.0 + 8.0 + 12.0

= 20.0

Hope this Helps!!!