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Sample lessons: calculus, physics, statistics and math
Find the volume of the solid formed by revolving y = x² about the x-axis from x = 0 to x = 2.
V = π ∫ [f(x)]² dx
Two masses, m₁ = 3 kg and m₂ = 5 kg, are joined by a light rope over a frictionless pulley. Find the acceleration and the tension.
A teacher's exam scores are normally distributed with a mean of 75 and a standard deviation of 8. What is the probability that a randomly selected student scores above 85?
Evaluate 2 + 3 × (1/2)² ÷ (3/4)
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