1) First derivative
dy / dx = 15x^4 - 75x^2 + 60
relative maxima => dy / dx = 0
=> 15x^4 - 75x^2 + 60 = 0
=> x^4 - 5x^2 + 4 = 0
Solve by factoring: (x^2 - 4) (x^2 - 1) = 0
=> x^2 = 4 => x = 2 and x = -2
x^2 = 1 => x = 1 and x = -1
So, there are four candidates -4, -1, 1 and 4.
To conclude whether they are relative maxima you must take the second derivative. Only those whose second derivative is negative are relative maxima.
2) Second derivative:
d^2 y / dx^2 = 60x^3 - 150x
Factor: 30x(2x^2 - 5)
The second derivative test tells that the second derivative in a relative maxima is less than zero.
=> 30x (2x^2 - 5) < 0
=> x < 0 and x^2 > 5/2
=> x < 0 and x < √(5/2) or x > √(5/2)
=> x = - 2 is a local maxima
Also, x > 0 and x^2 < 5/2 is a solution
=> x = 1 is other local maxima.
Those are the only two local maxima.
The answer is the option c) 2 local maxima.
Answer:
the value of x would be 108 degrees
Step-by-step explanation:
The computation of the value of x in degrees is shown below:
Given that both the triangles has the 34 degrees and 48 degrees
Now in the triangle 1 angle a = 108 degrees
And, in the triangle 2 a = x
Now in this case both the triangles are similar to each other
So here the value of x would be 108 degrees
This represent the refute the claim of Bob
It’s 4, Whatever you do to the X is opposite and the y is just basic + is up and - is down
Answer:
the answer is 20. 46
and dont report me for this meme i give you ok
Step-by-step explanation:
Answer: Directix= -1
Focus (11, 2)
Step-by-step explanation: