Answer:
Relative minima at
, and relative maxima DNE.
Step-by-step explanation:
The given function is f(x) = x (x + 7) ...... (1)
We have to calculate the relative maxima and relative minima at point (x, y).
Rearranging the function given above we get.
⇒
Now, this is an equation of parabola having vertex at
and the axis is parallel to positive Y-axis.
Therefore, the function(1) has a relative minima at
, and the relative maxima DNE. (Answer)
Answer:
y = -2x + 3 is the required equation
Step-by-step explanation:
From the graph we will get two ordered pairs
If we see that When x=0 then y=3 and when x = 1 then y=1
Now from this we can find the slope of the Graph
So slope of graph = (y2 - y1) / (x2-x1)
=(1-3) / (1-0)
=-2
So
Slope = m = -2
Now the equation is
y = mx + b
We have to find the value of b
as we have two ordered pairs we can take any of it to find the value of b because line passes through those points
taking (0,3) as a point
y= mx + b
put values
3 = -2*(0) + b
so
b=3
Now the equation of the line in this form is
y = mx + b
which is
y = -2x + 3
<u>Question 1</u>
If we let
, then
.
Also, as
bisects
, this means
.
Thus, by the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning CE=8