(ii) (6 分) Find the lengths of the curve x = t³, y = (3t²) / 2, 0 ≤ t ≤ .

詳解 (共 1 筆)

Chia Chung

詳解 #6199509

2024/08/26

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1. In the engine shown in Figure 1, a 7-inch connecting rod is fastened to a crank of radius 3 inches. The crankshaft rotates counterclockwise at a constant rate of 200 rpm (revolutions per minute). Find the velocity (i.e., dx/dt) of the piston when θ = π/3. (15 分) Figure 1. The velocity of a piston is related to the angle of the crankshaft.

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(ii) (6 分) Find the lengths of the curve x = t³, y = (3t²) / 2, 0 ≤ t ≤ .

詳解 (共 1 筆)

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