Answer:
k = 9
length of chord = 2/3
Step-by-step explanation:
Equation of parabola: 
<u />
<u>Part 1</u>
If the curve passes through point 
, this means that when 
, 
Substitute these values into the equation and solve for 
:
Apply the exponent rule 
:
<u>Part 2</u>
- The chord of a parabola is a line segment whose endpoints are points on the parabola.
We are told that one end of the chord is at and that the chord is horizontal. Therefore, the y-coordinate of the other end of the chord will also be 1. Substitute y = 1 into the equation for the parabola and solve for x:
Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)
To calculate the length of the chord, find the difference between the x-coordinates:
**Please see attached diagram for drawn graph. Chord is in red**
Answer:
Dy/Dx=x
(
2
ln
(
x
)
−
1
)/
ln
^2
(
x)
Step-by-step explanation:
We have this function and let's derive it in terms of x.
y =x^2/In x
Dy/Dx=(x^2/In x)'=2/lnx *(x^2)'-(x^2/In x)'=> 2
x
*ln
(
x
)
−
x
*ln
^2
(
x
)
=x
(
2
ln
(
x
)
−
1
)/
ln
^2
(
x)
Answer:
6
Step-by-step explanation:
(2.4×10³)×(3×10^x)=7.2×10^9
(3x10^x)=(7.2×10^9)/(2.4×10^3)
3×10^x=3×10^6
10^x=10^6
*when bases are same ,powers are equated*
thus x=6
Answer:
£13496.80
Step-by-step explanation:
We can ignore the £ sign for now, that is just units.
If we decrease a number by 4.5%, we will have to find 
% of 14132.77.
We can easily do this by setting up a proportion.
Multiply 14132.77 by 95.5:
Divide by 100:
Rounding this to two decimal places, it simplifies to 13496.80.
Hope this helped!
