Answer = 0.7
Solution -
Similar to linear functions of one variable, we have the Slopes - Intercept Formula for a linear function of two variables given by,
⇒ z = m₁x+m₂y+c
where
m₁ = slope in X direction = 2
m₂ = slope in Y direction = 3
c = c is the z-intercept of the plane defined by the equation.
Taking the derivatives of both sides
⇒ dz = m₁dx + m₂dy
dx = change in x = 0.5
dy = change in y = -0.1
Putting all the values in the equation
⇒ dz = 2×0.5 + 3(-0.1) = 0.7
Hence, change in z = 0.7
