Answer: 12 boys: 13 Girls
Step-by-step explanation: Nothing much really.
Answer:
Step-by-step explanation:
Given is a trignometric equation in x, as

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx
WE get now


Principal solution is 
x = ±π/2 + 2kπ, where k is any integer or
x=±pi/6 +k pi, where k is any integer.
General solution is
Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b) 
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)

Using:


So, we have:



The equation is calculated using:

Using:

We have:


Make y the subject


Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is:

F(x) = cos x
f'(x) = -sin x
f''(x) = -cos x
f'''(x) = sin x
f''''(x) = cos x
90/4 = 22 Remainder 2
Therefore, 90th derivative of f(x) = cos x is -cos x.