Compute the scalar suface integral z z k z ds where k is the part of the sphere of radius 3 centered at the origin, that lies in the first octant. (hint: use the parametrization g(θ, φ) = h3 sin φ cos θ, 3 sin φ sin θ, 3 cos φi with domain of definition [0, π/2] × [0, π/2])

With the parameterization

take the normal vector to to be

which has magnitude

Then the integral is

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.

26

step-by-step explanation: