Answer:
r = 7
Step-by-step explanation:
The common ratio r of a geometric sequence is
r = 
= 
, that is
r = 
= 
= 7
Story:
There is a tank that can fill 4 liters of water. The 2/3 of the tank has been filled with water. How much liters have the tank filled with water?
Solution of story:
<u>We know that:</u>
- Tank = 4 liters
- 2/3 x 4 = Water filled in tank
Multiply both the terms to get the answer.
<u>Solution:</u>
- 2/3 x 4 liters
- => 8/3 liters = 2 2/3 liters
Hence, 2 2/3 liters has been filled with water.
Hoped this helped.
L=Lim tan(x)^2/x x->0
Since both numerator and denominator evaluate to zero, we could apply l'Hôpital rule by taking derivatives.
d(tan^2(x))/dx=2tan(x).d(tan(x))/dx = 2tan(x)sec^2(x)
d(x)/dx = 1
=>
L=2tan(x)sec^2(x)/1 x->0
= (2(0)/1^2)/1
=0/1
=0
Another way using series,
We know that tan(x) = x+x^3/3+2x^5/15+.....
then tan^2(x), using binomial expansion gives
x^2+2*x^4/3+.... (we only need two terms)
and again apply l'Hôpital's rule, we have
L=d(x^2+2x^4/3+...)/d(x) = (2x+8x^3/3+...)/1
=0 as x->0
Answer:
a, the first option
Step-by-step explanation:
You solve the inequality equation just like any other equations. The only difference is that you gotta flip the sign whenever you multiply or divide by a negative number.
The result is p>32, which is an open-circle at 32 that points toward all values greater than 32
