Answer:
Step-by-step explanation:
1) True. This is because the divergence of F is 1, thus, F is a linear function. Orientation is given outward to the surface. Linear function double integrated over a surface with outward orientation gives volume enclosed by the surface.
2) True. This is primarily what the Divergence theorem is.
3) False. If F was 3/pi instead of div(F), then the statement would have been true.
4) False. The gradient of divergence can be anything. The curl of divergence of a vector function is 0, not the gradient o divergence.
5) False. While finding Divergence, derivatives are taken for different variables. Since the derivatives of constants are 0, therefore, both the vector functions F and G can be different constant parts of there components even if their divergences are equal.
Answer:
∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,
∅8=345°
Step-by-step explanation:
Data
r = 8 sin(2θ), r = 4 and r=4
iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°
according the graph 2, the cut points are:
I quadrant:
0+15° = 15°
90°-15°=75°
II quadrant:
90°+15°=105°
180°-15°=165°
III quadrant:
180°+15°=195°
270°-15°=255°
IV quadrant:
270°+15°=285°
360°-15°=345°
No intersection whit the pole (0)
gg easy
the legs of a triangle are related as
wehre a, b, and c are the legs and the hypotonuse of a triangle respectively
let's find some stuff
one easy way is to find a rational value for c find values of a and b
lets pick c=5


now split up 25 into 2 things that don't have rational square roots
if we say
and
then we get
and
(which are both irrational)
The function

describes a parabola with vertex = (5, 3).
The graph of the function is attached.
I believe this is the complete problem.
<span>Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without the tax?
The cost of an item is 100% of its price. What number goes in place of ? in the addition problem?
</span>
The answer is the below:
<span>He paid $7.473 without tax because $7.95 x 96% or (0.96) =$7.473</span>