Answer:
45,9
Step-by-step explanation:
If it is 76 feet LOWER than 73 above sea level, then you must do
73-76= -3
So Mudville is 3 feet BELOW sea level.
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
It would be: 8 (x + 3) - 2x
= 8x + 24 - 2x
= 6x + 24
In short, Your Answer would be 6x + 24
Hope this helps!
The first battle in the Pacific between the empire of Japan against the US and its allies took place on December 8, 1941. The Japanese forces began their conquest on the pacific islands and it started its invasion of the Malaya. They were held by a resistance of British Indian fighter however it was not enough to hold off the overwhelming Japanese force.
