Question

The function f (x) has the value f (−1) = 1. The slope of the curve y = f (x) at any point is given by the expression dy/dx = (2x + 1)( y + 1)

Answer 1

A. Write an equation for the line tangent to the curve y = f (x) at x = − 1.
B. Use the tangent line from part A to estimate f (−0.9)
C. Use separation of variables to find an explicit or implicit formula for y = f (x), with no integrals remaining.
D. Find lim f (x) as x approaches infinity

Answer 2

@Hero

Answer 3

@TuringTest

Answer 4

@pooja195