Answer:
y = (x+1) + 1
Step-by-step explanation:
y = (x+1) + 1
y=x Vertical translation UP 1 unit and further Up 1 unit makes it UP 2 units,
y = (x+1) + 1 x≤-1 : The purple ray
Let
. Then differentiating, we get

We approximate
at
with the tangent line,

The
-intercept for this approximation will be our next approximation for the root,

Repeat this process. Approximate
at
.

Then

Once more. Approximate
at
.

Then

Compare this to the actual root of
, which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.
Answer:

Step-by-step explanation:
Let's start by finding the first derivative of
. We can do so by using the power rule for derivatives.
The power rule states that:
This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.
Another rule that we need to note is that the derivative of a constant is 0.
Let's apply the power rule to the function f(x).
Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.
Simplify the equation.
Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).
Simplify the equation.
Therefore, this is the 2nd derivative of the function f(x).
We can say that: 
Answer:
∠ EFG = 83°, ∠ GCE = 97°
Step-by-step explanation:
Since FE and FG are tangents to the circle then
∠ FGC and ∠ FEC are right angles
The sum of the angles in quadrilateral CEFG = 360°
Sum the 4 angles and equate to 360
3x + 11 + 90 + 5x - 23 + 90 = 360, that is
8x + 168 = 360 ( subtract 168 from both sides )
8x = 192 ( divide both sides by 8 )
x = 24
Thus
∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°
∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°
Answer:
The y intercept formula is
y= mx+b
m= slope
b= the number when the line crosses the y axis