1) a) \(\begin{align} & {{E}_{maior}}=2a \\ & {{E}_{maior}}=2\cdot 17 \\ & {{E}_{maior}}=34 \\ \end{align}\ \)

b) \(\begin{align} & {{E}_{menor}}=2b \\ & {{E}_{menor}}=2\cdot 15 \\ & {{E}_{menor}}=30 \\ \end{align}\ \)

c) \(\begin{align} & c=\sqrt{{{17}^{2}}-{{15}^{2}}} \\ & c=\sqrt{64} \\ & c=8 \\ \end{align}\ \)

\(F = \left( { - 8,0} \right){\text{ e }}\left( {8,0} \right)\)

d) Eixo maior: \(\left( { - 17,0} \right){\text{ e }}\left( {17,0} \right)\)

Eixo menor: \(\left( {0, - 15} \right){\text{ e }}\left( {0,15} \right)\)

2) 

a-\(\frac{{{x}^{2}}}{{{7}^{2}}}-\frac{{{y}^{2}}}{{{3}^{2}}}=1\)

b-\(y=\frac{{{x}^{2}}}{4}-x+3\)

c-\(\frac{{{x}^{2}}}{{{10}^{2}}}+\frac{{{y}^{2}}}{{{\left( \sqrt{75} \right)}^{2}}}=1 \)

d- \(\frac{{{x}^{2}}}{{{6}^{2}}}-\frac{{{y}^{2}}}{3}=1 \)

e-\(f(x)=\frac{4{{x}^{2}}}{25} \)

f- \(\frac{{8{x^2}}}{{81}} + \frac{{{y^2}}}{{36}} = 1\)