Describe the surface in

R^(3)

represented by the equation

x+y=5

.\ This is the set

{(x,5-x,z)|xinR,zinR}

which is a vertical plane that intersects the

xy

-plane in the line

y=5-x,z=0

.\ This is the set

{(x,5-x,z)|xinR,zinR}

which is a vertical plane that intersects the

xz

-plane in the line

y=5-x,z=0

.\ This is the set

{(x,5-x,z)|xinR,zinR}

which is a horizontal plane that intersects the

xy

-plane in the line

y=5-x,z=0

\ This is the set

{(x,5-x,z)|xinR,zinR}

which is a horizontal plane that intersects the

xz

-plane in the line

y=5-x,z=0

\ This is the set

{(x,y,5-x-y)|xinR,yinR}

which is a vertical plane that intersects the

xy

-plane in the line

y=5-x,z=

\ Sketch the surface.

Describe the surface in R3 represented by the equation x+y=5. This is the set {(x,5x,z)xR,zR} which is a vertical plane that intersects the xy-plane in the line y=5x,z=0. This is the set {(x,5x,z)xR,zR} which is a vertical plane that intersects the xz-plane in the line y=5x,z=0. This is the set {(x,5x,z)xR,zR} which is a horizontal plane that intersects the xy-plane in the line y=5x,z=0 This is the set {(x,5x,z)xR,zR} which is a horizontal plane that intersects the xz-plane in the line y=5x,z=0 This is the set {(x,y,5xy)xR,yR} which is a vertical plane that intersects the xy-plane in the line y=5x,z= Sketch the surface