A slope field for the logistic differential equation dy/dt=(1/2500)y(1010−y) is shown in the figure below. a. Sketch the solution curve that passes through the point (0,250), and sketch the solution curve that passes through the point (0,1500).
(i) If b=250, what is the largest rate of increase in the number of frogs in the pond? Explain your reasoning, and indicate units of measure.
(ii) If b=750, what is the largest rate of increase in the number of frogs in the pond? Explain your reasoning, and indicate units of measure.
b. Let b=100. Use Euler’s method, starting at t=0 with two steps of equal size, to approximate F(4), the number of frogs in the pond at time t=4 weeks. Show the work that leads to your answer.
c. Determine whether the approximation found in part (c) is an underestimate or an overestimate for the number of frogs in the pond at time t=4 weeks, when b=100. Explain your reasoning.

50*10 is greater

step-by-step explanation:

if you add the zero from 10 to 50, it will give you a bigger number.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: