If

then the derivative is

Critical points occur where
. This happens for



In the first case, we find

In the second,

So all the critical points occur at multiples of
, or
. (This includes all the even multiples of
.)
Answer 38.6
Step-by-step explanation:
21 x .84 = 17.64
17.64 + 21 = 38.64
Answer:
The answer to your question is x = 3.356 cm
Step-by-step explanation:
This is a right triangle so we can use the Trigonometric functions to solve this problem.
Data
Ф = 40°
Adjacent side = 4 cm
Opposite side = x
Process
1.- We must know the lenght of the opposite side so we must use the tangent to solve it.
tangent Ф = 
2.- Solve it for Opposite side
Opposite side = tanФ x Adjacent side
Opposite side = tan 40° x 4
Opposite side = 0.839 x 4
Opposite side = 3.356
Opposite side = x = 3.356 cm
Answer:
Step-by-step explanation:
Surface area of a cylinder:
S. A. = 2πrh + 2πr²
Volume of a cylinder:
V = πr²h
~~~~~~~~~~~
2(π)(2.5)(x) + 2(π)(2.5)² = π(2.5)²(x)
5x + 12.5 = 6.25x
1.25x = 12.5
x = 10