Answer:
See Below.
Step-by-step explanation:
We have the equation:
And we want to show that:
Instead of differentiating directly, we can first square both sides:
We can find the first derivative through implicit differentiation:
Hence:
And we can find the second derivative by using the quotient rule:
Substitute:
Simplify:
Combine fractions:
Simplify:
Simplify:
Q.E.D.
Answer:
x= 4/3
Step-by-step explanation:
Answer:
first one: x<9 second: x<3.5 or 7/2
Step-by-step explanation:
first: substract 3 from both sides
second: substract 5 and then divide by 2
That is the answer it was to long to write down
Answer:
Step-by-step explanation:
A circle is inscribed in an equilateral triangle PQR with centre O. If angle OQR = 30°, what is the perimeter of the triangle?
This is a circle inscribed in an equilateral triangle with side s.
If you are asking for the perimeter of PQR, it is 3s.
If you are asking for the perimeter of OQR, it is (3+23–√3)s
Since OR and SR are the hypotenuses of right triangles with adjacent side equal to ½ s, their length is ½s / cos 30° = (√3) /3.
(3/3)s + ((√3) /3)s + ((√3) /3)s = ((3 + 2√3)/3)s ≈ 2.1547s
Hope it helps
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