It is rather obvious that we will have to deal with a trigonometric function. Let us see... the first hint is that a function is not defined somewhere. cos and sin are defined for all real numbers... what about tan though? Well, as we approach pi/2, tan becomes larger and larger and it is not defined at pi/2. Given that the tan function has a period of pi (cos and sin have a period of 2pi), this function is the right candidate. Since it is periodic and it is not defined at pi/2, it cannot be defined at any x=pi/2+-npi (if it was defined for some n, then it would have the same value at pi/2 due to periodicity). Hence, a function that works is tanx, or 2*tanx or tanx+6.
I believe the correct answer is C.
Answer:
Step-by-step explanation:
Given :
Total students = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
To find: Venn diagram
Solution:
Total students = 30 i.e. U = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
Students passed only chemistry = 20-6 =14
Students passed only Physics = 14-6=6
So refer the attached figure for the Venn diagram
Plug y=-5 into the equation
6x+8(-5)=-22
6x-40=-22
6x=-22+40
6x=18
x=3
<span> a⁴(3a² - 2a + 1)
We just have to multiply each term inside the parentheses by a⁴ .
a⁴</span><span>(3a² ) = 3a⁶
a⁴</span><span>( - 2a ) = -2a⁵
a⁴</span><span>( 1) = a⁴
Now, just addum up : 3a⁶ - 2a⁵ + a⁴</span>
