Without looking, Santiago took a handful of multi-colored candies from a bag and found that 20% of the candies were yellow and 1
2 answers:
You might be interested in
relative max = pi -2
relative min = -2 pi
Step-by-step explanation:
y= 4x- 2tan(x), (-pi/2,pi/2)
To find relative max and min,
According to mathematical procedure to find relative max and relative min,
the following procedure should be carry out.
Derivating equation with respect to x,
.....(1)
Equating equation (1) to Zero,
We get,
....stationary point
There are total three points
1. -pi/2 2. pi/2 3. pi/4
checking local min and local max
first considering -pi/2;
...(2)
putting x= pi/4 in equation (2),
we get,
<0
So, we have local max at x=pi/4
by putting value of x in equation (1);
we get,
.... is maximum point.
Similarly, at x= -pi/ 2,
>0
So, we have local min at x=-pi/2
by putting value of x in equation (1);
we get,
.... is minimum point
Answer:
The equation of hyperbola :
Step-by-step explanation:
Given - This hyperbola is centered at the origin.
Foci: (0,-9) and (0,9) Vertices: (0,-7) and (0,7)
To find - Find its equation.
Solution -
We know that,
Equation of Hyperbola is represented by
Now,
Given that,
Foci : F(0, -9) and F'(0, 9)
So,
c = 9
And
Vertices : A(0,-7) and A'(0,7)
So,
a = 7
Also, we know that,
c² = a² + b²
⇒b² = c² - a²
⇒b² = 9² - 7²
⇒b² = 81 - 49
⇒b² = 32
So,
The equation of hyperbola becomes
Answer:
Step-by-step explanation:
absolute(5x + 6) = x
There are 2 solutions to this
Solution 1
5x + 6 = x Subtract 5x from both sides.
5x - 5x + 6 = x - 5x
6 = - 4x Divide by - 4
6/ - 4 = -4x / -4
x = - 1.5
Solution 2
5x + 6 = - x
6 = -x - 5x
6 = - 6x
x = 6/-6
x = - 1
Here is a graph which shows the solutions.
