The surface (call it
) is a triangle with vertices at the points



Parameterize
by

with
and
. Take the normal vector to
to be

Then the flux of
across
is



Answer:
BAC=15
Step-by-step explanation:
angle BOA= 180-30= 150
triangle BAO is
isosceles because it has two equal sides, radii of a circumference so the angles ABO=BAO=(180-150)/2=15
If you calculated it you would get 20.25 so it is irrational
Answer:
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
Step-by-step explanation:
We are given
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

provided that 0 ≤ x ≤ 200
We are given
profit is $1610
so, we can set P=1610
and then we can solve for x

Multiply both sides by 10




now, we can factor it

we can solve for x
and we get

Since, x=230 does not lie on 0 ≤ x ≤ 200
So, we will consider only x=70
So,
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70