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3 years ago

Hello brainly please help me with this

Mathematics

2 answers:

jeka943 years ago

7 0

No because you would need to multiply the denominators by the denominators and the numerators by the numerators to get 1/81. Priya is adding the numerators.

Sedaia [141]3 years ago

4 0

Answer:

Step-by-step explanation:

By multiplying 1/3 4 times, you would get 1/81 because you are multiplying the numerators by the numerators and the denominators by the denominators. However Priya is adding the fractions instead which gave her 4/3

I hope this helped xd

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lara31 [8.8K]

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$f_y=4y^3-4x=0\implies y^3=x$

Then

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If $x=0$ , then $y=0$ ; critical point at (0, 0)
If $x=1$ , then $y=1$ ; critical point at (1, 1)
If $x=-1$ , then $y=-1$ ; critical point at (-1, -1)

$f(x,y)$ has Hessian matrix

$H(x,y)=\begin{bmatrix}12x^2&-4\\-4&12y^2\end{bmatrix}$

with determinant

$\det H(x,y)=144x^2y^2-16$

At (0, 0), the Hessian determinant is -16, which indicates a saddle point.
At (1, 1), the determinant is 128, and $f_{xx}(1,1)=12$ , which indicates a local minimum.
At (-1, -1), the determinant is again 128, and $f_{xx}(-1,-1)=12$ , which indicates another local minimum.

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3 years ago

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