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    1) Let f(x,y)=25e^(-1/5x^2)-y^5+5y+3
    a) Find all stationary points of the function f(x,y) and enter their coordinates by "" with at least 3 decimal places.
    b)Let (xs,ys) be the saddle point of the function f(x,y). Calculate the following expression:
    f(xs,ys)-(xs+ys) and enter the value with at least 3 dp.
    c) what is(are) type of stationarity the other point(s)?

    2)Let f(x,y)=6e^(x^2)-y^2+5y+6
    a) stationary points
    b) let (xs,ys) be the saddle point of the function f(x,y), calculate the following expression f(xs,ys)-(xs+ys)
    c)what type of stationary points (stationary, saddle, min, max).

    © BrainMass Inc. brainmass.com March 5, 2021, 12:18 am ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/stationary-point-saddle-point-min-max-498301

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    Hi there,

    Thanks for letting me work on your post. I've included my explanation in the word document. If you have any question, please feel free to let me know.

    Let .
    (a) Find all stationary points of the function amd enter their coordinates separated by ";", with at least 3 decimal places.
    For example, " "
    Correct
    Your Answer: (0.001,1.001);(0.001,-1.001)
    Correct Answer: (0 ± 0.001,1 ± 0.001);(0 ± 0.001,-1 ± 0.001)
    First, calculate the partial derivatives fx and fy, and simultaneously solve the ...

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    The solution provides detailed explanation how to find out the stationary point, saddle point, min and max.

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