has divergence
so that by the divergence theorem, the flux of through is the integral of over the interior of (call it ):
is a tetrahedron in the first quadrant defined by the set
(and this is by no means the only way to define )
Then the integral over is
It’s 7.406 , that’s the correct answer
The answer should be B bc the point is at 1 and it rises 2 and runs 3 to the left so it’s negative
Answer:
Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E
Step-by-step explanation:
The coordinates of rectangle D are:
(-1, 1)
(-1, 4)
(-3, 1) and
(-3, 4)
The rule of reflection across x-axis is given by:
Next, translate this 8 unit right which is given by:
⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.
Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E