Sharon asks…
Vector direction question?
Given f(x, y, z) = (x^3) – 3xyz + (z^4), in what direction is f(x, y, z) increasing the most rapidly at the point P(1,-1,1)? What is its rate of increase in that direction?
Nagesh answers:
Calculate and evaluate the partial derivatives at P in each direction:
df/dx = 3*x^2 – 3yz = 3 + 3 = +6 at P
df/dy = – 3xz = – 3 at P
df/dz = 4*z^3 – 3xy = 4 + 3 = +7 at P
so f is increasing most rapidly in the z direction, at a rate of +7 units per time interval.
However, if the actual precise direction of maximum increase is required, the rate of change vector is df/dt = (6, -3, 7) giving a magnitude of
sqrt(36+9+49) = 9.70 in that direction.
Donald asks…
vector direction question?
Given f(x, y, z) = (x^3) – 3xyz + (z^4), in what direction is f(x, y, z) increasing the most rapidly at the point P(1,-1,1)? What is its rate of increase in that direction?
Nagesh answers:
Calculate and evaluate the partial derivatives at P in each direction:
df/dx = 3*x^2 – 3yz = 3 + 3 = +6 at P
df/dy = – 3xz = – 3 at P
df/dz = 4*z^3 – 3xy = 4 + 3 = +7 at P
so f is increasing most rapidly in the z direction, at a rate of +7 units per time interval.
However, if the actual precise direction of maximum increase is required, the rate of change vector is df/dt = (6, -3, 7) giving a magnitude of
sqrt(36+9+49) = 9.70 in that direction.
Mandy asks…
one directions start?
so i am confused did One Direction win the X factor in England or where ever they were?
Nagesh answers:
One Direction started of The X Factor, they came in third place, behind runner-up Rebecca Ferguson and winner Matt Cardle. Even though Simon Cowell, who was their mentor on the show, stated that he would only sign the winner, he ended up giving One Direction a record deal for £2 million, which is more than what the winner got, a £1 million recording contract.
Charles asks…
:S What is One Direction?
Who or what is One Direction???
Nagesh answers:
One Direction is a boy band from Britain that has recently become popular among teenage girls. It began as 5 young teens in the X-Factor that were told to participate as 1. After leaving the X-Factor, they released an album which has become very popular. The band’s popularity can also be attributed to the boys’ attractiveness. It consists of Harry Styles, Louis Tomlinson, Zayn Malik, Liam Payne, and Niall Horan.
Sandy asks…
what is one direction?
what does everyone think of one direction?
Nagesh answers:
There a band personally I can’t stand them, a lot of fans that go to my school say they write their own songs and that their songs are amazing, but they don’t and they aren’t, I like bands who have enough talent to write their own lyrics and music, one direction are not one of those bands
So their lyrics don’t ‘speak’ to me, I think they’re letting everyone else do the work and then all they do is get up on stage and sing it
Powered by Yahoo! Answers