### Home > APCALC > Chapter 12 > Lesson 12.1.3 > Problem 12-35

12-35.

The diagram at right shows a slope field.

Explain why

must be a function of both and.Are the slopes in the diagram parallel anywhere?

Sketch a solution curve that passes through the point

. Your curve should look like a bell-shaped curve with a maximum at

and a horizontal asymptote of .The slope field is for the differential equation

. Write the equation of your solution curve. Once you integrate you should have a

'. Use the point to solve for the value of .