Find the uncertainty

Question

Given the partial derivative values as dv/dx = 1.5 and dv/dt = 11.6 and the uncertainties delta x = 1.7 and delta t = 13.2 find the total uncertainty on v using the total derivative to find the uncertainty.

Answer 1

v = v(x,t)

 

dv = (∂v/∂x)dx + (∂v/∂t)dt 

 

dv → Δv

 

Δv = (1.5)(1.7) + (11.6)(13.2) = 155.67