1. The problem statement, all variables and given/known data The range of a projectile fired (in a vacuum) with initial velocity V0 and inclination angle θ from the horizontal is R = (1/32) * (V0)2 * sin(2θ). Use differentials to approximate the change in range if V0 is increased from 400 ft/s to 410 ft/s and θ is increased from 30° to 31°. 2. Relevant equations Setting up my equation: dR = (∂R/∂V0) * dV0 + (∂R/∂θ) * dθ 3. The attempt at a solution Taking the partials and substituting values: sin(60°)/250 + cos(60°)/10,000 = 5216.51 ft. This answer seems unreasonable, can anyone check my work?