"The lush golf courses in the United Arab Emirates, the dikes and polders in the Netherlands, and the Three Gorges Dam in China are significant exa use." These examples reflect which of the following viewpoints of human-environment interaction? (A) Environmental determinism (B) Ecotourism (C) Possibilism (D) Heartland theory (E) Malthusian theory

Given: \( f(x)=a^{x}-1 \) for \( a>0, \mathrm{~B}\left(2 ; \frac{-5}{9}\right) \) is a point on \( f \). 4.1 Walculate the value of \( a \). 4.3 Sketch the graph of \( f \). Clearly show the intercepts with the axes and asymptote if any. 4.4 It is further given that C is a point on \( f \) at \( y=\frac{19}{8} \). Determine the coordinates of \( \mathrm{C}^{\prime} \), the image of C , when C is reflected about the lin \( y=x \).

Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated list.) \[ 9 x^{2}-6 x+226=0 \] \( x=\square \)

1. \( y=\sqrt{1-\sin x}+\tan ^{4}\left(x^{2}+1\right) \)

\( \lim _ { x \rightarrow - 2 } \frac { x ^ { 2 } \sqrt { x + 6 } - \sqrt[ 3 ] { x + 1 } + 4 x - 1 } { \sqrt { x ^ { 2 } - 3 } - 1 } \)

uct \( C \cdot\left(A^{T}+B\right) \) where \( A=\left(\begin{array}{cc}-2 & 3 \\ -1 & -5 \\ 1 & 0\end{array}\right), B=\left(\begin{array}{ccc}4 & -7 & 1 \\ -5 & 6 & 2\end{array}\right), \quad C=\left(\begin{array}{ll}1 & 2 \\ 2 & 1 \\ 3 & 3\end{array}\right) \)