prove that the set of all real valued differentiable functions from (0,1) to R is a subspace of the set of all real valued functions from (0,1) to R

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.

where is the picture

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.