Consider the function 𝑓(𝑥,𝑦,𝑧)=𝑥4+2 𝑦3+𝑧2. The directional derivative of the function at the point 𝑃 (−1,1,−1) along (𝒊̂+𝒋̂), where 𝒊̂ and 𝒋̂ are unit vector...

The solution of the ordinary differential equation dy/dx + 3y = 1, subject to the initial condition y=1 at x=0, is

Consider a linear ordinary differential equation: dy/dx + p(x)y = r(x). Functions p(x) and r(x) are defined and have a continuous first derivative. The integrat...