Determine the y-intercept(s) of the level curve, where f ( x , y ) = 2 e 2 x 2 + y 2 and z = 4.I started but setting 4 = f ( x , y ) then I solved for y and got 2 l n ( 2 ) 4 − x 2 and I tried solving for y = 0. Is there a similar way to do this?

Question

Determine the   y-intercept(s) of the level curve, where   f  (  x  ,  y  )  =  2      e          2                        x          2                +                  y          2                     and   z  =  4.I started but setting   4  =  f  (  x  ,  y  ) then I solved for   y and got                     2        l        n        (        2        )            4        −          x      2       and I tried solving for   y  =  0. Is there a similar way to do this?

Kitamiliseakekw · Accepted Answer

So if   z  =  4,   f  (  x  ,  y  )  =  4.Hence forth,   4  =  2      e          2                        x          2                +                  y          2                    . So yes, you were correct to this.To find the y-intercepts,   x  =  0 since the intercepts are solely on the   y-axis and you already know that   z  =  4.You now have   4  =  2      e          2                        y          2                     for   x  =  0  ,  z  =  4.You cannot solve for the intercepts if   y  =  0 because you would be finding the   x-intercepts instead!Now, you can solve for   y

Determine the y-intercept(s) of the level curve, where f(x,y)=2e^(2sqrt(x^2+y^2)) and z=4.

Answered question

Answer & Explanation

New Questions in High school statistics