A particular solution to a differential equation passes through

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

(0,2)

. Approximate values of its derivative

\dfrac{dy}{dx}

along the solution are given in the table. x 0 1 2 3 4

dy/dx

1.2 0.8 0.0 −0.6 −0.9 On which interval within

0\le x\le4

is the solution most likely increasing and concave down? (a)

3<x<4

(b)

2<x<3

(c)

0<x<2

(d) The solution is nowhere increasing and concave down on

0\le x\le4