Answer:
^geometric sequence^
<h2>YES, it belongs to a geometric sequence because it has a ratio. and how to find ratio is:</h2>
a2 : a1
=9 : 3= 3
or a3 : a2
=27 : 9= 3
or a4 : a3
= 81 : 27= 3
so, the anwer is yes;3 (b)
<h3>FINALLY FOUND, MODERATOR!!</h3>
1. Rewrite the expression in terms of logarithms:
Then differentiate with the chain rule (I'll use prime notation to save space; that is, the derivative of <em>y</em> is denoted <em>y' </em>)
2. Chain rule:
Since , we can cancel one factor of sine:
3. Chain rule:
4. If you're like me and don't remember the rule for differentiating logarithms of bases not equal to <em>e</em>, you can use the change-of-base formula first:
Then
So we have
and we can use the double angle identity and logarithm properties to condense this result:
5. Differentiate both sides:
6. Same as with (5):
7. Looks like
Compute the second derivative:
Set this equal to 0 and solve for <em>x</em> :
Answer: 3 and 1/2
Step-by-step explanation:
had this question on the quiz