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3 years ago

How do you do this question?

Mathematics

1 answer:

Gekata [30.6K]3 years ago

5 0

Answer:

9.37

Step-by-step explanation:

T₄ means the area of the region using 4 trapezoids.

Dividing the interval into 4 equal widths, the width of each trapezoid is (4−0)/4 = 1.

The area of each trapezoid is:

T₁ = ½ (1.00 + 1.41) (1) = 1.205

T₂ = ½ (1.41 + 2.24) (1) = 1.825

T₃ = ½ (2.24 + 3.16) (1) = 2.700

T₄ = ½ (3.16 + 4.12) (1) = 3.640

Therefore, the total area is:

T = 1.205 + 1.825 + 2.700 + 3.640

T = 9.37

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