Find the area of the surface. the surface with parametric equations x = u2, y = uv, z = 1 2 v2, 0 ≤ u ≤ 2, 0 ≤ v ≤ 2.

du dv

Step-by-step explanation:

let, r = x i + y j + z k , where i, j, k are unit vectors.

r = i + uv j + 12 k

we know that the surface area of a surface represented by r(u,v) is

=

here,

      = 2u i + v j

      = u j + 24 v k

      Cross product =

                              = 24 i - 48 uv j + 2 k

The modulus of the cross product is

so, the surface area is

            du dv

and the answer has to be left as the integral itself as the integral of square root of biquadratic can not be calculated(with random co efficients).

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.