The differential equation dy dx equals the quotient of the quantity x minus 2 and y minus 2.

I) produces a slope field with horizontal tangents at y = 2

II) produces a slope field with vertical tangents at y = 2

III) produces a slope field with columns of parallel segments

a) I only

b) II only

c) I and II

d) III only

The correct option is (b)

Only II applies.

Step-by-step explanation:

Given

dy/dx = (x - 2)/(y - 2)

We want to check which of the given options is true.

I) produces a slope field with horizontal tangents at y = 2

This is not true

II) produces a slope field with vertical tangents at y = 2

This is true because putting y - 2 = 0, we have dy/dx ---> infinity.

Which is a slope field with vertical tangents at y - 2 = 0 or y = 2.

III) produces a slope field with columns of parallel segments

This is not true.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.