The input of each of these functions is always an angle, and as you learned in the previous sections, these angles can take on any real number value. Therefore the sine and cosine function have the same domain, the set of all real numbers, \begin{align*}R\end{align*}
After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra's error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared.!!
<span>This problem is solved using dimensional analysis. It is known that there are 5280 yards in a league and that there are 3 feet in one yard. Finally, it is known that there are 6076 feet in one nautical mile. As a result, we can multiply these dimension together, making certain that the units cancel and leave us with only nautical miles.
It is done as follows:
(610 leagues)(5280yds/1 league)(3 ft/1yd)(1 nautical mile/6076ft)= 1590 naurtical miles.</span>
Take
, so that
, and you have
Integrate by parts, setting
and
, which give
and
. Then
which in terms of
is
where the last term uses the property that
, and the
term is absorbed into
.
Answer:
Step-by-step explanation:
679