Answer:
1276.19553 
Step-by-step explanation:
First, find height using Pythagoras thorem.
a=
a=15.61
Then use the formula to find the surface area of a cone.
π•12.5•(12.5+
)=1276.19553
X = number of years
78 + 7x = 111 + 4x
-78 from both sides
7x = 33 + 4x
Subtract 4x from both sides
3x = 33
Divid both sides by 3
X= 11
In 11 years both trees will be the same height.
The square root of 50 is 7.071
Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have
f'(x) = 2ax + b
and
f''(x) = 2a
Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.
(i) f is concave up when f'' > 0, which occurs when a > 0.
(ii) f is concave down when f'' < 0, and this is the case if a < 0.
In Mathematica, define f by entering
f[x_] := a*x^2 + b*x + c
Then solve for intervals over which the second derivative is positive or negative, respectively, using
Reduce[f''[x] > 0, x]
Reduce[f''[x] < 0, x]
Answer:
B and D
Step-by-step explanation:
