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This graph is a P103 potentiometer (10kΩ) equivalent circuit diagram. Assume V_in = 20V, Vout = 5V. Calculate the value of R1. Express your answer in kΩ.   

Look at the following graph from a functional analysis of John’s head hitting. What would you conclude is the function of this behavior?   

Calculate Vout (R1 = 200 ohm, R2 = 800 ohm, Vin = 10 V)   

If an initial population is 100 animals and the intrinsic growth rate is 0.5, set up the logistic growth equation needed to determine the population after one year using a carrying capacity of 500 animals. You do not need to solve the equation. 5pt

If habitat type 1 is more suitable to a population than habitat type 2 at low densities, what would you expect to occur as a population becomes denser? 2pt

In a unimolecular elimination (E1) reaction, the correct order of mechanistic steps is:  

Deprotonation of a carboxylic acid increases its solubility in water due to the formation of

Describe one example each of a density dependent cause of mortality and a density independent cause of mortality in wildlife. 2pt

Find the differential of each function.           , find . 

If nitrogen makes up roughly 16% of proteins, set up an equation to estimate crude protein content of food. 3pt