Take partial derivatives and set them equal to 0:
We find one critical point within the boundary of the disk at
. The Hessian matrix for this function is
which is positive definite, and incidentally independent of
and
, so
attains a minimum
.
Meanwhile, we can parameterize the boundary by
with
, which gives
with critical points at
At these points, we get
so we attain a maximum only when
, which translates to
.
Because the values of both functions is 0 at ∅ = 0, both have an equilibrium position of 0.
Next, we can use the given value of f(∅) to find the amplitude:
4 = Asin(π/4)
4 = A(√2 / 2)
A = 8 / √2
We halve this amplitude to find the amplitude of g(∅):
A = 4 / √2
The period is 2π/2 = π
g(∅) = 4sin(∅/2) / √2
The correct answer would be B. Sexual reproduction does infact create more variation in plants.
If the backpack (b) contains only textbooks (t) and notebooks (n), the total weight of the backpack is:
b+t+n
but notebooks are 4 pounds, so actually:
b+t+4
also, the backpack weights 2 pounds, so the total weight is:
2+t+4 =t+6
now, "Seventy percent of
<span>
the total weight is textbooks. ", this means that
t=70%(t+6) - this equation can be used to determine the weight of the textbooks!
</span>
Answer:
You’ll have to come up with $10,000 - 25,000.
Step-by-step explanation:
You'll need at least this much for your new house because if you think about it appliances are getting expensive. So, is furniture and it also depends on how big the house is. Then again, this is about how much my parents ( $46, 560 ) spent on our house and we still are looking for more furniture.
