4) Suppose the insect population was 105 insects at the beginning of the period shown. Based...
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4) Suppose the insect population was 105 insects at the beginning of the period shown. Based on the rate of change function, make a rough sketch of two functions: a) the function that gives the net accumulation of the insect population at every number of months starting from x 0 months and b) the function that gives the total accumulation of the insect population starting from x = 0 months. 200 150 100+ 0.4 c) The exact rate of change function given was named rp. The sketches you made above were attempts to represent Ap (the exact net accumulation function) and P (the exact total accumulation function, or the population function). Explain what these functions have to do with the endeavor "You know how fast a quantity is changing at every moment, and you want to know how much of the quantity you have at every moment." 4) Suppose the insect population was 105 insects at the beginning of the period shown. Based on the rate of change function, make a rough sketch of two functions: a) the function that gives the net accumulation of the insect population at every number of months starting from x 0 months and b) the function that gives the total accumulation of the insect population starting from x = 0 months. 200 150 100+ 0.4 c) The exact rate of change function given was named rp. The sketches you made above were attempts to represent Ap (the exact net accumulation function) and P (the exact total accumulation function, or the population function). Explain what these functions have to do with the endeavor "You know how fast a quantity is changing at every moment, and you want to know how much of the quantity you have at every moment."
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