Respostas AVA

CÁLCULO III

f_xx(x, y) = 36x²y³ e    f_yy(x, y) = 18x⁴y

f_xx (x, y) = 36x³y³ e    f_yy (x, y) = 18x⁴y²

f_xx (x, y) = 18x²y³ e    f_yy (x, y) = 36x⁴y

f_xx (x, y) = 36x²y³ - 2 e    f_yy (x, y) = 18x⁴y - 2

f_xx (x, y) = 36x²y² e    f_yy (x, y) = 18x³y

0

1

2

-1

4

$D={(x,y)inRR^2//x!=0 e y>=-x}$

$D={(x,y)inRR^2//x < -1 ou x > 3 e yinRR}$

$D={(x,y)inRR^2//0<x<1 e y>1}$

$D={(x,y)inRR^2//x!=0 e yinRR}$

$D={(x,y)inRR^2//x>0 ou y>=-x}$

3

5

2

4

1

1,00

0,17

2,36

3,60

1,75

- 0,2

0,0

0,5

0,7

0,3

$\displaystyle\frac{{4}}{{5}}$

$\displaystyle\frac{{6}}{{5}}$

$\displaystyle\frac{{5}}{{8}}$

$\displaystyle\frac{{3}}{{7}}$

$\displaystyle\frac{{2}}{{5}}$

Um máximo local no ponto $\displaystyle{\left(\frac{{2}}{{3}},\frac{{4}}{{3}}\right)}$

Um mínimo local no ponto $\displaystyle{\left(\frac{{2}}{{3}},\frac{{4}}{{3}}\right)}$

Um máximo local no ponto $\displaystyle{\left(-\frac{{2}}{{3}},\frac{{4}}{{3}}\right)}$

Um mínimo local no ponto $\displaystyle{\left(\frac{{4}}{{3}},\frac{{2}}{{3}}\right)}$

Um ponto de sela em $\displaystyle{\left(-\frac{{2}}{{3}},\frac{{4}}{{3}}\right)}$

9

6

11

5

7

$\displaystyle\frac{{{d}{F}}}{{{\left.{d}{t}\right.}}}={2}{{e}}^{{{2}{t}}}-{9}{{t}}^{{2}}$

$\displaystyle\frac{{{d}{F}}}{{{\left.{d}{t}\right.}}}={2}{{e}}^{{t}}-{9}{{t}}^{{2}}$

$\displaystyle\frac{{{d}{F}}}{{{\left.{d}{t}\right.}}}={2}{{e}}^{{{2}{t}}}+{{t}}^{{2}}$

$\displaystyle\frac{{{d}{F}}}{{{\left.{d}{t}\right.}}}={2}{{e}}^{{{2}{t}}}+{9}{{t}}^{{2}}$

$\displaystyle\frac{{{d}{F}}}{{{\left.{d}{t}\right.}}}={{e}}^{{t}}+{9}{{t}}^{{2}}$

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