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Academics – Mathematics : 2023/OCT/08

Question

Q8. A watertight bulkhead can be represented by the area enclosed by the curves:

y₁ = 8 - 001x₂, - 10 ≤ x ≤ 10

y₂ = - 0.007x₃, - 10 ≤ x ≤ 10

y₃ = 0.007x₃, - 10 ≤ x ≤ 10

as shown by the shaded area in Fig Q8 (a).

Calculate the area of the bulkhead, given that the units of length are metres.

b) Evaluate ∫_0.8¹(2 sinθ - cosθ)dθ.

Asked in Year/Month/Ques No.

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