1. The population of a rural town can be modelled by the function \( P(x)=3 x^{2}-102 x+25000 \), where \( x \) is the number of years sin 2000. According to the model, when will the population be lowest?

Where is there a discontinuity / are there discontinuities (holes or asymptotes) in the rational function \( f(x)=\frac{x^{2}+3 x+2}{x^{2}-4} ? \) \( x= \) 0 \( x= \) 2 \( x= \) -2 \( x=2 \) -2 \( x=0 \) \( 2,-2 \) \( x \)

What is the magnitude of a vector with a horizontal component of 5 and a vertical component of \( 12 ? \)

Find an equation for the hyperbola described. Graph the equation. Center at \( (-1,-7) ; \) focus at \( (-1,-10) ; \) vertex at \( (-1,-9) \) Write an equation for the hyperbola. \( \square-\square=1 \) (Type exact answers for each term, using fractions as needed.)

Argumen dari \( 1-i \sqrt{3} \) adalah...

What is the direction of a vector with a horizontal component of 2 and a vertical component of -4 ?