Recent content by tinkus

the points all equal 2(max). i still need to find the min which according to the answer key is sqrt2, I don't know how to get that.

yes the constraint function is incorrect, i ommitted =2

1. Homework Statement [/b] f\left(x,y\right) = x^2 +y^2 g\left(x,y\right) = x^4+y^4 = 2 Find the maximum and minimum using Lagrange multiplier Homework Equations The Attempt at a Solution grad f = 2xi +2yj grad g= 4x^3i + 4y^3j grad f= λ grad g 2x=4x^3λ and 2y=...

((2/t)/((1/t^2)+t)) (-1/t^2 ) + ((2sqrtt) / ((1/t)^2)+t)) ( 1/2sqrtt)

Homework Statement 2(1/t)/(1/t)^2+t * -1/t^2 + 2sqrtt/ (1/t)^2+t * 1/2sqrtt Homework Equations The Attempt at a Solution my solution = -4t^3 + 3t^2+ 2t/t+ t^4 but incorrect

Homework Statement if z= f(x) + yg(x), what can you say about zyy explain? Homework Equations The Attempt at a Solution z= f(x,yy) zyy = d/dy (dz/dy) d(partial derivative)

I got it now, thank you so much.

ok i set the system of equation and I'm getting nowhere. grad f1 = .5i + .5j grad f2 = .2981i + .1491j how do i set up the system of equation.

Homework Statement Consider the function f (x,y). if you start at the point (4,5) and move to the point (5,6) . the directional derivative is 2. Starting at the point (4,5) and moving toward the point (6,6)gives a directional derivative of 3.Find grad f at the point (4,5) . Homework...

Thanks, it was a complete oversight...duly noted

ok thanks, i got 547.8kph. the answer key is 548.6, i guess is still correct...

yea i thought as much but isn't the y-component of the windspeed part of the airspeed? Can you show me how to solve this problem?

Homework Statement A plane is heading due east and climbing at he rate of 80kph. if its speed is 480kph and there's a wind blowing 100kph to the northeast, wha is the groundspeed of the plane Homework Equations The Attempt at a Solution w=100cos45+100sin45= 70i+70j...