Answer:
See Below.
Step-by-step explanation:
We have the equation:

And we want to show that:

Instead of differentiating directly, we can first square both sides:

We can find the first derivative through implicit differentiation:

Hence:

And we can find the second derivative by using the quotient rule:

Substitute:

Simplify:

Combine fractions:

Simplify:

Simplify:

Q.E.D.
Answer:
The sequence <u>is</u> geometric and the common ratio is 2
Step-by-step explanation:
A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.
Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.
Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because
4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.
In this case, 3 * 2 = 6
6 * 2 = 12
12 * 2 = 24
The sequence <u>is</u> geometric and the common ratio is 2
Answer:
27.55ft
Step-by-step explanation:
28²-5²=x
784-25=759
square root of 759=27.55
70% of the people were adults
First you subtract 1500-450 = 1050
Then you divide 1050/1500 = .7