find the critical points of the given function and classify each as relative min., relative max., or a saddle point

f(x,y) = x^2 + 2y^2 - xy + 14y

Critical point

f(x,y)= xy + 8/x + 8/y find the critical points of the given function and classify each as relative min., relative max., or a saddle point

Critical point

f(x,y) = 4xy - 2x^4 - y^2 + 4x - 2y find the critical points of the given function and classify each as relative min., relative max., or a saddle point

use the method of lagrange multipliers to find the indicated extremum. You may assume the extremum exists.

Let f(x,y) = 8x^2 - 24xy + y^2. Find the maximum and minimum values of the function f(x,y) subject to the constraint 8x^2 + y^2 = 1.

Extrema

Use the method of lagrange multipliers to find the indicated extremum. You may assume the extremum exists. Find the maximum and minimum values of f(x,y,z) = x + 3y - z subject to z = 2x^2 + y^2

Derivatives

a) f(x) = -4x-1 (-4x to the -1) f’(x) =

Finding Average Velocity & Instantaneous Velocity

If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting (i) 0.5 seconds (ii) 0.1 second (iii) 0.05 seconds (iv) 0.01 second b) Find the instantaneous velocity when t=2.

Critical points

f(x,y) = x^2 + 2y^2 - xy + 14y Find the critical points of the given function and classify each as relative min., relative max., or a saddle point

Finding antiderivatives

Antiderivative of: (t5 + 6t3) dt

Integration as the limit of a sum

Find the integral by the method of summation the values of :- (a) integral of e^(-x) where the range of integration is from a to b. (b) integral of e^(kx) where the range of integration is from a to b.