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:
A, $15,350
Step-by-step explanation:
$15,347.98 is closer to $15,350
Answer:
10 coconut cupcakes
Step-by-step explanation: so, here is what we do since there is 8 cupcakes sold and 4 of them are coconut cupcakes we divide. this is hard to explain but we know that 8 divided by 4 is 2 so we have to multiply to 20 so like 2 times 10 which gives us 20. then we use the answer that we got from multiplying which is 10 as our answer if that makes sense.
If you know what "complementary angles" means,
then you can do this one in your sleep. If you don't,
then you can't do it at all.
"Complementary angles" means two angles
that add up to 90 degrees.
(32 degrees) + (the angle you don't know) = 90 degrees
Subtract 32 degrees from
each side of this equation:
(the angle you don't know) = (90 degrees) - (32 degrees)
(the angle you don't know) = (90° - 32°) = 58 degrees
Answer:
83
Step-by-step explanation:
78+ (72÷9) -3
72÷9=8
78+8=86
86-3=83