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Korolek [52]
3 years ago
13

A duck swims at a speed of 1 meter per second. How long does it take for it to cross a 50 meter wide pond?

Mathematics
2 answers:
Paul [167]3 years ago
8 0

Answer:

50 seconds.

Step-by-step explanation:

Hope this helps!

Afina-wow [57]3 years ago
6 0

Answer:

50 seconds.

Step-by-step explanation:

If it takes 1 meter per second.

50 meter = 1 × 50 seconds

= 50 seconds.

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Then

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  • 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

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  • 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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