Homework Statement
given z=yf(x^2-y^2)
show that the x(∂z/∂y)+y(∂z/∂x)=xz/y
The Attempt at a Solution
cut it short, my
∂z/∂y= f(x^2-y^2)-2(y^2)f(x^2-y^2)
∂z/∂x=2xyf(x^2-y^2)
i was able to prove that
x(∂z/∂y)+y(∂z/∂x)=xz/y
But i need help with partial differentiations...
Homework Statement
a particle traveling in a straight line is located at the point (4, -2, 3) with the speed of 2 m/s at time t=0. the particle moves toward the point (6, 0, 9) with constant acceleration 3i-j+k. find its position vector r(t) at time t
The Attempt at a Solution...