- (change along a helix) Find the derivative of f(x, y, ) = x2 + y2 + z- in the direction of the unit tangent vector of
Posted: Sun May 15, 2022 9:56 pm
can you write down, how you calculate the unit vector u=v/lvl in a bit more detail
because I don't understand how it work. I could not get the right answer
- (change along a helix) Find the derivative of f(x, y, ) = x2 + y2 + z- in the direction of the unit tangent vector of the helix r(t) = (cos t)i + (sin t)j + tk at the point where t = - /4,0, and /4. The functionſ gives the square of the distance from a point P(x, y, z) on the helix to the origin. The derivatives calculated here give the rate at which the square of the distance is changing with respect to the parameter t as P moves through the points where t=-1/4,0, and 7/4.
because I don't understand how it work. I could not get the right answer
- (change along a helix) Find the derivative of f(x, y, ) = x2 + y2 + z- in the direction of the unit tangent vector of the helix r(t) = (cos t)i + (sin t)j + tk at the point where t = - /4,0, and /4. The functionſ gives the square of the distance from a point P(x, y, z) on the helix to the origin. The derivatives calculated here give the rate at which the square of the distance is changing with respect to the parameter t as P moves through the points where t=-1/4,0, and 7/4.