Answer:
and the limit is 12
Step-by-step explanation:
we know that the derivative of the function f in x=a is the limit of this
![\dfrac{f(a+h)-f(a)}{a+h-a}=\dfrac{f(a+h)-f(a)}{h}](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28a%2Bh%29-f%28a%29%7D%7Ba%2Bh-a%7D%3D%5Cdfrac%7Bf%28a%2Bh%29-f%28a%29%7D%7Bh%7D)
as the expression is
![[3(a+h)^2+2 ]-14](https://tex.z-dn.net/?f=%5B3%28a%2Bh%29%5E2%2B2%20%5D-14)
we can say that
![f(a+h)=3(2+h)^2+2 \\\\f(a)=14](https://tex.z-dn.net/?f=f%28a%2Bh%29%3D3%282%2Bh%29%5E2%2B2%20%5C%5C%5C%5Cf%28a%29%3D14)
from the first equation we can identify a = 2 and then
to verify that we are correct, we can compute f(2)=3*4+2=14
f'(x)=6x
so f'(2)=12
we can estimate it from the fraction as well
so the limit is 12
There is 1 branch per 2 inches.
1 foot is 12 inches, that means there are 6 branches in 1 foot.
6 branches multiplied by 6 is 36.
There are 36 branches on the tree.
Answer:
x = −2 or x = 4.23606797749979 or x = −0.2360679774997898
Step-by-step explanation:
Subtract x^3-2x^2-9x-2 from both sides.
0 − (x3−2x2−9x−2) = x3−2x2−9x−2 − (x3−2x2−9x−2)
−x3+2x2+9x+2=0
Factor left side of equation.
(−x−2)(x2−4x−1)=0
Set factors equal to 0.
−x−2=0 or x2−4x−1=0
The answer is 19.7 hope it helps!!! :)