एक जनसंख्या की वृद्धि खड़ा बारह महीने में दोगुनी होती है। यदि प्रारंभिक जनसंख्या 5000 हो, तो 3 वर्ष बाद जनसंख्या अनुमानित कितनी होगी?

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 \( x=0 \) \( 2,-2 \) \( x \)

The size of a certain insect population is given by \( \mathrm{P}(\mathrm{t})=400 e^{.03 \mathrm{t}} \), where t is measured in days. At what time will the population equal 1600 ?

The function \( f(t)=60,000(2)^{\frac{1}{40}} \) gives the number of bacteria in a population \( t \) minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

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

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