157k views
5 votes
The differential equation dy/dx= (x+2)/(y-5)

I. Produces a slope field with vertical tangents at y=5
II. Produces a slope field with vertical tangents at x=-2
III. Produces a slope field with rows of parallel segments

A. I only
B.II only
C. III only
D. I and III

1 Answer

5 votes

Answer:

A. I only

Explanation:

As
(dy)/(dx) =(x+2)/(y-5) yields an undefined value when y=5, I is true

At x=-2, the slope field will have a slope of 0, so II is false

III is false as the slope field shows otherwise.

(Desmos has a slope field feature that is very helpful)

User Nandop
by
8.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories