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.
No it is not. One is in hundreths and the other thousandths
Answer:
39
Step-by-step explanation:
Let the smallest number be n,
then the three numbers are n, n+1 and n+2
Therefore, n+(n+1)+(n+2)=120
Collecting like terms,
n+n+n=120-1-2
3n=117
n=117/3
n=39
Therefore the numbers are 39,40 and 41.
And the smallest number is 39.
If two tangent segments to a circle share a
common endpoint outside a circle, then the two segments are congruent. This
is according to the intersection of two tangent theorem. The theorem states
that given a circle, if X is any point
within outside the circle and if Y and Z are points such that XY and XZ are
tangents to the circle, then XY is equal to XZ.
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Answer:
f(2)= -4
Step-by-step explanation:
f(x)= -x^3 + 6x - 7
f(2) = -2^3 + 6*2 - 7
f(2)= -8 +12 -7
f(2)= 3-7
f(2)= -4
