Y = log x / x
y ` = (( log x )` * x - (x)` * log x) / x²=
= (1/x * x - 1 * log x ) / x² =
= ( 1 - log x ) / x²
y ` = 0;
1 - log x = 0
log x = 1
x = e
The maximum value:
y max = log e / e = 1 / e
࿐αɴѕωєя࿐
12.6 ft³
Step-by-step explanation:
h = 1 ft
r = 2 ft
π = 3.14
V of cylinder = πr²h
= 3.14 × 2² × 1
= 12.56
= 12.6 ft³
Hope it helps ⚜
Answer:
<em>y=-6</em>
Step-by-step explanation:
<em>Geometric Sequences</em>
Any given sequence is said to be geometric if each term can be obtained as the previous term by a constant value called the common ratio.
or equivalently
Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios
and we see they both result -3. If we use r=-3 and try to find the second term (y), then
y=2*(-3)=-6
Now we compute the third term: (-6)(-3)=18
Since we got the third term as given in the original sequence.
So y=-6
Answer:
to the nearest tenth
Step-by-step explanation:
find the area of the semi circle
find area of the whole shape
then subtract both areas to get shaded area