Question

Find the surface area of the plane x + 2y + 2z = 12 cut off by : (a) x = 0, y = 0, x = 1, y = 1

Answer 1

Answer:

a) if x=0 , y=0

Step-by-step explanation:

0 + 0 + 2z = 12

z =6

b) 1 + 2 + 2z= 12

2z = 9

z = 4.5

Answer 2

Answer:

U have to use the surface integral for this problem.

Step-by-step explanation:

1. The projection of the given plane when cut by x=0, y=0, x=1, y=1 will be a square of unit side length.

2. For any projection R of a surface the a(S) = ∬√(1+(z_x)^2 +(z_y)^2)dxdy

3. z=f(x,y)

Here z=6-x/2 -y