5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book April 11, 2018 16:20

AP Calculus AB Practice Exam 2 387

6. The slope of a functionf at any point (x,y)is
   y
   2 x^2
   . The point (2, 1) is on the graph of f.

(A) Write an equation of the tangent line to the

graph off atx=2.

(B) Use the tangent line in part (A) to

approximate f(2.5).

(C) Solve the differential equation

dy

dx

=

y

2 x^2

with the initial condition f(2)=1.

(D) Use the solution in part (C) and find

f(2.5).

STOP. AP Calculus AB Practice Exam 2, Section II Part B.