Well, causation is the relationship between cause and effect. I think the answer is A. If it is raining, then there are clouds in the sky because of the fact that the cause is the clouds and the effect is the rain from the clouds. Hope this helped!
248,700
682 is closer to 700 than to 600
Answer:
51
Step-by-step explanation:
area of the triangle= 1/2 (6-3)(13-7)
=1/2 (3)(6)
=9
area of rectangle= 6×7
= 42
therefore, area of shape = 42+9
=51
Setting
, you have
. Then the integral becomes
Now,
in general. But since we want our substitution
to be invertible, we are tacitly assuming that we're working over a restricted domain. In particular, this means
, which implies that
, or equivalently that
. Over this domain,
, so
.
Long story short, this allows us to go from
to
Computing the remaining integral isn't difficult. Expand the numerator with the Pythagorean identity to get
Then integrate term-by-term to get
Now undo the substitution to get the antiderivative back in terms of
.
and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to
