Question

A thin plate covers the triangular region bounded by the x-axis and , the line y=x and the x=1.?

please sketch with the graph of these question so that i can under stand.
thank you.

Answer 1

The plate has an area of `1/2`sq units. See below

Explanation:

First let's show the triangular region.

graph{(y-x)(0.001y-x+1)(0.00x+y)=0 [-0.954, 1.747, -0.155, 1.194]}

The triangle is formed by the points `(0,0),(1.0) and (1,1)`

Hence both the base and height of the triangle are 1 unit

Area of triangle `= 1/2 base xx height`
`= 1/2*1*1 = 1/2`sq units.