Answer:
The area would be 48.
Step-by-step explanation:
Answer:
0 is an inflection point
1/4 is a local maximum.
Step-by-step explanation:
To begin with you find the first derivative of the function and get that
![h'(x) = 3x^2 - 12x^3](https://tex.z-dn.net/?f=h%27%28x%29%20%3D%203x%5E2%20-%2012x%5E3)
to find the critical points you equal the first derivative to 0 and get that
![3x^2 - 12x^3 = 0, x = 0,1/4](https://tex.z-dn.net/?f=3x%5E2%20-%2012x%5E3%20%3D%200%2C%20x%20%3D%20%200%2C1%2F4)
To find if they are maximums or local minimums you use the second derivative.
![h''(x) = 6x-36x^2](https://tex.z-dn.net/?f=h%27%27%28x%29%20%3D%206x-36x%5E2)
since
is neither an inflection point, and since
then 1/4 is a maximum.
Vertically opposite angles are always equal.
Given angles are (8x+12)° and (3x+37)°
=> (8x+12)° = (3x + 37)°
=> 8x - 3x = 37-12
=> 5x = 25
=> x = 25/5 = 5°
Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°
Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°
increases by 11.1% and his raise £18 and £2 less than what he wants
Answer:
r=15.99
Step-by-step explanation:
r=C
2π=100.48
2·π≈15.99189