Answer:
y = 6
Step-by-step explanation:
Answer:
a) d(x)=
b)d'(x)=
c)The critical point is x=
d)Closest point is (,
Step-by-step explanation:
We are given the line
Let a point Q() lie on the line.
Point P is given as P(2,0)
By distance formula, we have the distance D between any two points
A() and B() as
D=
Thus,
d(x)=
But we have,
So,
d(x)=
Expanding,
d(x)= - - - (a)
Now,
d'(x)=
i.e.
d'(x)= - - - (b)
Now, the critical point is where d'(x)=0
⇒ =0
⇒ - - - (c)
Now,
The closest point on the given line to point P is the one for which d(x) is minimum i.e. d'(x)=0
⇒
as
⇒y=
So, closest point is () - - -(d)
I’m sorry running a little bit late but I’m just
Answer:
a) min: 0; max: 21
b) min: 34; max: 55
Step-by-step explanation:
In the attached Venn diagrams (part c), the overlap of the two circles represents the number on both teams.
a) In the top diagram, there is no overlap, so the number on both teams is 0.
In the bottom diagram, there is complete overlap between the teams, so the maximum number that play both sports is 21 (the minimum team size of the two teams).
both teams minimum: 0; maximum: 21
__
b) The number on neither team is the number outside both circles. The minimum number will correspond to the case where there is no overlap between teams. In that case, there are 66 team players, so 34 people who are on neither team.
The maximum case is that where the teams completely overlap, so the number not on either team will be those not on the football team: 55 people.
neither team minimum: 34; maximum: 55
Answer:
102°C
Step-by-step explanation:
The chemical compound has a freezing point of -5°C and a boiling point of 97°C.
Since the freezing point is the lower temperature and the boiling point is the higher temperature, the difference between the two temperatures will be subtraction of the freezing point from the boiling point. That is:
97 - (-5) = 97 + 5 = 102°C
The difference between the freezing point and the boiling point is 102°C