How do you solve dy/dx=(y−1)(y+1) if the solution passes through the point (x, y)=(4,0)(x, y)=(4,0)?

i got y=(1+e^(2x-8))/(1-e^(2x-8)) but it was wrong: (

The step function g(x) is defined as shown. what is the range of g(x)? ***answer choices in picture.

The function models the number of accidents per 50 million miles driven as a function

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?