Find the absolute maximum of g(x,y)=x^2+y^2-2y+1 on the disk x^2+y^2 less than or equal to 4....

Find the absolute maximum of g(x,y)=x^2+y^2-2y+1 on the disk x^2+y^2 less than or equal to 4. Solve 2 ways, parametrization and lagrange multipliers. Please solve using both methods!

Expert Solution

milcah answered 2 years ago

Find the absolute maximum value and the absolute minimum value of the function f(x,y) = (1+x^2)(1−y^2)...

Find the absolute maximum value and the absolute minimum value of the function f(x,y) = (1+x^2)(1−y^2) on the disk D = {(x,y) | x2+y2⩽1}?

Find absolute maximum and minimum values of the function f(x,y)=x^2+2y^2 on the curve ((x^2)/81)+((y^2)/100)=1 where x>=0,...

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Find the absolute maximum and minimum values of the function f(x, y) = x^2 + ((4/3) y^3) − 1 on the disk x^2 + y^2 ≤ 1.

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Find the absolute maximum and the absolute minimum of the function f(x,y) = 6 - x² - y² over the region R = {(x,y) | -2 <= x <= 2, -1 <= y <= 1 }. Also mention the points at which the maximum and minimum will occur.

1. a. Find the relative maximum and minimum values of f(x, y) = (3x^2) − (2y^2)...

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Find the absolute extreme values of g(x, y) = x^2 + xy over the rectangle ?...

Find the absolute extreme values of g(x, y) = x^2 + xy over the rectangle ? = {(?, ?) : − 2 ≤ ? ≤ 2 , −1 ≤ ? ≤ 1}

2. If f(x)=e^-x^2 , find the absolute maximum on [-2,2].

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