Answers by visitors named: typo

it is ∫ cos(x)/sin(x)dx not ∫ sin(x)/cos(x)dx.

Use spherical coordinates to find the smaller volume cut out from the sphere 𝑥^2 +𝑦^2 +𝑧^2= 4by the plane z= 1.

typo F = (40 N / 3 cm) * 5 cm = (200 / 3) N

vertical problem Vi = 34.7 sin 67.3 h = 0 + Vi t - 4.9 t^2 when is the height h = 0 ? 0 = Vi t - 4.9 t^2 = t ( Vi - 4.9 t) so it is on the ground when t = 0 (as we knew) and at t = Vi/4.9)