Write the reason behind the atmosphere does not escape away from the earth
2 answers:
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The velocity when function p(t)=11 is 8 .
According to the question
The position of a car at time t represented by function :
Now,
When function p(t) = 11 , t will be
11 = t²+2t-4
0 = t² + 2t - 15
or
t² +2t-15 = 0
t² +(5-3)t-15 = 0
t² +5t-3t-15 = 0
t(t+5)-3(t+5) = 0
(t-3)(t+5) = 0
t = 3 , -5
as t cannot be -ve as given ( t≥0)
so,
t = 3
Now,
the velocity when p(t)=11
As we know velocity =
therefore to get the value of velocity from function p(t)
we have to differentiate the function with respect to time
v(t) = 2t + 2
where v(t) = velocity at that time
as t = 3 for p(t)=11
so ,
v(t) = 2t + 2
v(t) = 2*3 + 2
v(t) = 8
Hence, the velocity when function p(t)=11 is 8 .
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Answer:
10.87 m
Explanation:
Total length of the wire = 25 m
Let the length of one piece is y and other piece is 25 - y
Let the side of square is a.
So, 4 a = y
a = y / 4
And the side of triangle is b
3 b = (25 - y)
b = (25 - y) / 3
Area of square, A1 = side x side =
A1 = y² / 16
Area of equilateral triangle, A2 =
Total area, A = A1 + A2
For maxima and minima, fins dA /dy
It is equal to zero.
9y = 173.2 -6.928 y
15.928 y = 173.2
y = 10.87 m
So, the length of wire to make square is 10.87 m.