Answer:
General solution is

Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get

we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) 
<u><em>Step(ii):-</em></u>
<u><em></em></u>
<u><em></em></u>


<u><em>Step(iii):-</em></u>
<u><em>General solution of cos x = cos ∝ is x = 2 nπ+∝</em></u>
<u><em>we have </em></u> 
The general solution of
is
⇒ 
⇒ 

<em><u>final answer</u></em>:-
General solution is

well 7-6 is one then you'll find common demonstrators with the fractions then simplify them then subtract them to get 1 1/4
Answer: 2
Step-by-step explanation:

Answer:
There will be 729 daffodils in the sixth week
Step-by-step explanation:
Given
--- start
--- weekly rate
Required
Number of daffodils in 6th week
This question illustrates an exponential function which is represented as

Where
f(x) = Number of daffodils at x week
x = The week
a = Initial number of daffodils
b= rate
So, we have:


Hence:


At the 6th week

So:
<em> ---- as a power</em>
<em> --- related multiplication</em>
<em> --- standard form</em>
Answer:
90
Step-by-step explanation:
*One half of two fifths of x.