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y = 5x + 4
L = ²₀∫ 5x+4
= 5/2 x² + 4 x | 2..0|
= 5/2 (4) + 4(2) = 10+8 = 18
5. y = x³
x² = y^(2/3)
V = π ²∫₀ x² dy = π ₀²∫ y^(2/3) dy
V =π [ 3/5 y^(5/3)[ | 2..0|
V =π (3/5){2^(5/3)) = π (3/5)(2∛4)
V = (6π/5)(∛4)