3.(a)(b)(c)4.Part B
TIME: 60 MINUTES
4 PROBLEMS
No calculator is allowed for any of these problems.
If you finish Part B before time has expired, you may return to work on Part A,
but you may not use a calculator.
The graph of function y = f(x) passes through the point (1, 1) and satisfies
the differential equation .
Sketch the slope field for the differential equation at the 12 indicated
points on the axes provided.Find the equation of the line tangent to f(x) at the point (1, 1) and
use the linear equation to estimate f(1.2).
Solve the differential equation, and find the particular solution for y
= f(x) that passes through the point (1, 1)
Let R represent the first-quadrant region bounded by the y-axis and the
curves , as shown in the graph.