The population of a certain species in a protected area can be modeled by the function \( P(t) = 200 + 50 \sin(t) \), where \( t \) is measured in years. Determine the total population increase over one complete cycle (from \( t=0 \) to \( t=2\pi \)).

Question 5 : (August 2023 ) The function \( G(m) \) represents the amount of gasoline consumed by a car traveling \( m \) miles. An appropriate domain for this function would be (1) integers (2) rational numbers (3) nonnegative integers (4) nonnegative rational numbers

5.4 - Online Quiz - Hyperbolas Question 1 of 5 Identify the center. \( \frac{x^{2}}{12}-\frac{y^{2}}{16}=1 \)

Given: \( A=\frac{1}{\sqrt{3+x}} \quad x \in\{0 ; 1 ; 2 ; 3\} \)

4. Solve the recurrence relation an \( -80 n-1-16 n-2 \) for \( n \geq 2, a_{0}=16, a_{1}=80 \).

write the rale of inverse function. \( f(x)=\frac{x}{\sqrt{x^{2}+1}} \)