Answer:
To figure out the change, we subtract the original temperature by the following after temperature.
18°F - original
-9°F - subsequent time after original
So we set up the equation;
18°F - (-9°F)
(Two negatives combine to form a positive)
18°F + 9°F
= <u>27°F</u> was the change in temperature.
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be
.
You're minimizing
subject to the constraint
. Note that
and
attain their extrema at the same values of
, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
The Lagrangian is
Take your partial derivatives and set them equal to 0:
Adding the first three equations together yields
and plugging this into the first three equations, you find a critical point at
.
The squared distance is then
, which means the shortest distance must be
.
Answer:
wow this is hard let me do the math hold on
Step-by-step explanation:
Answer:
The farthest point is the Challenger Deep
Step-by-step explanation:
Given
Solving (a): The sea level
Both elevations had signs in front of them.
The sea level is the point at the neutral level, neither positive nor negative.
Hence:
Solving (b): Farthest Point.
The farthest point is the one with the highest magnitude.
Comparing
to
-35,797 ft has the highest magnitude.
Hence:
<em>The farthest point is the Challenger Deep</em>