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Use Lagrange multipliers to find the given extremum. In each case assume that x and y are positive.
Minimize f(x,y)= 2x+y and the constratint is xy=32
An apache helicopter of enemy is flying along the path given by y= x2 +7. Find the nearest distance from where a soldier placed at (3,7) can shoot down the helicopter.
find the number of revolutions made by a wheel with a radius of 5ft that traveled 633ft use 3.14 for pie round answer to nearest tenth of revolution.
Lisa participated in a triathlon in which she swam 3 miles ran 5 miles and then bicycled 10 miles. Lisa ran twice as fast as she swam and she cycled three times as fast as she swam.
Poisson Kernel and Harmonic Function, Let P_r(t)=R((1+z)/(1-z)), z=re^it be the Poisson kernel for the unit disc |z|
For the objective function Z=31x1+35x2 which we seek to maximize, which point is the optimal solution?
In your own words, briefly compare the strengths and weaknesses (pros and cons) of the graphical, substitution, and elimination methods as applied to the solution of two equations with the same two variables in each.
A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in3 what were the original dimensions of..
In each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false).
Which algebraic expression represents five inchess less than twice last year's rainfall f in inches?
Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F. Prove that their composite K1K2 is splitting field over F.
Use the integration capabilities of you graphing utility to approximate the arc length of the space curve given by: vector r(t) = t i + t^3 j + 3t K from the point (1,1,3) to the point (2,8,6). Round your answer to the nearest three decimal places..
Create your own set Z that is a proper subset of Set X.
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