Integrate

gradient x f, f = (3y, -xz, -yz2)

over the portion of the surface 2z = x2 +
y2below the plane z = 2, both directly and by using
stokes'theorem.

a. 19,958,400

step-by-step explanation:

hope this

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

150.6

all i did was i multiplied 5.02 by 30