The Lagrangian for this function and the given constraints is
which has partial derivatives (set equal to 0) satisfying
This is a fairly standard linear system. Solving yields Lagrange multipliers of
and
, and at the same time we find only one critical point at
.
Check the Hessian for
, given by
is positive definite, since
for any vector
, which means
attains a minimum value of
at
. There is no maximum over the given constraints.
Answer:
$6000
Step-by-step explanation:
$1200/5years =$240/1yr
$240=4%
:. 1%=$60
Initial investment =$60*100%=$6000
Bro just go on Symbolab and use the calculator
Answer:
See explanation below.
Step-by-step explanation:
Given: 100 lbs on Earth is 16.6 lbs on the moon.
a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.
b. An equation that relates the weight of someone on the Moon who travels to the Earth:
100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:
Moon Weight * 6.02 = Earth Weight.
Proof:
16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.
c. A 185 lb astronaut on Earth would weigh:
16.6 / 100 = .166. Take the Earth weight and multiply by .166:
185 * .166 = 30 lbs on the Moon.
d. A person who weighs 50 lbs on the Moon:
50 * 6.024 = 301.2 lbs on Earth.
Hope this helps! Have a good day and year! :)
Answer:
12
Step-by-step explanation:
12/2=6
Tell me if it works
