The following differential equation is separable as it is of the form dP/dt = g(P)h(t).

dP/dt = P − P2

Find the following antiderivatives. (Use C for the constant of integration. Remember to use absolute values where appropriate.)

∫ dP /g(P) =
∫ h(t) dt =

Solve the given differential equation by separation of variables.

The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

Leslie started last week with $1200 in her checking account. during the week, she wrote the checks below.

Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. his sister states that the expression should be x + x + 0.5x + y + y – 2. who is correct? explain.