
has critical points wherever the partial derivatives vanish:


Then

- If
, then
; critical point at (0, 0) - If
, then
; critical point at (1, 1) - If
, then
; critical point at (-1, -1)
has Hessian matrix

with determinant

- At (0, 0), the Hessian determinant is -16, which indicates a saddle point.
- At (1, 1), the determinant is 128, and
, which indicates a local minimum. - At (-1, -1), the determinant is again 128, and
, which indicates another local minimum.
Answer:
a = 11,390,625.
Step-by-step explanation:
a^x/6 = (a^1/6)^x
(a^1/6)^x = 15^x so:
a^1/6 = 15
1/6 ln a = ln 15
ln a = 6 ln 15
ln a = 16.2483
a = 11390625.
Answer:
A=12.5xh
Step-by-step explanation:
I think this should be right
Okay. So we have to do division, because you're dividing 4 1/4 (17/4) tablespoons of medicine by 5 doses. The formula for multiplying fractions is keep, change, flip. 17/4 * 1/5 is 17/20. 17/20 tablespoon of medicine is supposed to be taken in each dose.
Answer:
Concluding that people should take vitamin supplement each day when they don't help.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Taking a vitamin supplement each day has significant health benefits and does not have any harmful side effects.
Null hypothesis:
Taking a vitamin supplement each day does not have have significant health benefits.
Alternate hypothesis:
Taking a vitamin supplement each day have have significant health benefits.
Type I error:
- It the error of rejecting the a true null hypothesis.
So error I for this situation would be concluding that people should take vitamin supplement each day when they don't help.