Answer:
<h3>Right π over 2 Up 2.</h3>
Step-by-step explanation:
We are given a trigonometric function f(x) = −3 cos(2x − π) + 2.
We need to explain the transformations in the given function being applied.
We can see that 2 is being added to −3 cos(2x − π) in th given function.
<em>According to rules of transformations, y=f(x)+D, shifts D units up if D is a positive number.</em>
Therefore, for adding 2 in −3 cos(2x − π), it would shift 2 units up.
Let us see other transformation being applied there.
We can see that π is being subtracted in parenthesis from 2x.
<em>According to rules of transformations, y=f(x-C), shifts C units right if C is a positive value.</em>
Therefore, on subtracting π from 2x in −3 cos(2x) inside parenthesis, the function shifts π units right.
Therefore, correct option for transformations would be :
<h3>Right π over 2 Up 2.</h3>
-214 over 15 is the answer
Answer:
Step-by-step explanation:
Set A is the set of all factors of 12. Therefore,
Set A = 1,2,3,4,6,12
Set B is the set of even natural numbers less than 13. Even numbers are numbers that are divisible by 2 without a remainder. Therefore,
Set B = 2, 4, 6, 8, 10, 12
Set C is the set of odd natural numbers less than 13. Odd numbers
are not completely divisible by 2. They leave a remainder. Therefore,
Set C = 1, 3, 5, 7, 9, 11
Set D is the set of even natural numbers less than 7. Therefore,
Set D = 2, 4, 6
AnC means A intersection C. It means the elements that are common to set A and set C. Therefore,.
AnC = 1, 3
Recall that (a + b)² = a² + 2ab + b².
Let a = x² and b = y². Then
(x² + y²)² = (x²)² + 2x²y² + (y²)²
⇒ x⁴ + y⁴ = (x² + y²)² - 2 (xy)²
Given that x² + y² = 13 and xy = 6, we have
x⁴ + y⁴ = 13² - 2×6² = 97