This is an arithmetic sequence, since it's pattern is +4.
n1 = 1
d = 4
n = 1 + (n-1)(4) <-------------- This is the formula for the nth term of the sequence.
F ( x ) = 3 sim x + 3 cos x
f ` ( x ) = 3 cos x - 3 sin x
f `` ( x ) = - 3 sin x - 3 cos x = - 3 ( sin x + cos x )
The inflection points:
- 3 ( sin x + cos x ) = 0
sin x + cos x = 0
sin x = - cos x / : cos x
tan x = - 1
x 1 = 3π / 4
x 2 = 7π / 4
The function is concave up when f``(x) > 0
- 3( sin x+ cos x ) > 0
sin x + cos x < 0
tan x < - 1
f is concave up for:
x ∈ ( π/2, 3π/4 ) ∪ ( 3π/2, 7π/4)
f is concave down for:
x ∈ ( 0, π/2 ) ∪ ( 3π / 4, 3π/2 ) ∪ ( 7π / 4, 2 π ).
No, not at all.
The general quadratic equation is
Ax² + Bx + C = 0 .
The roots are real only if (B² - 4AC) is not negative.
That means if you graph it, it touches or crosses the x-axis.
If the graph is up in the air and never touches the x-axis,
then it has no real roots.
Answer: =
Step-by-step explanation:
The confidence interval for population proportion(p) is given by :-
(1)
It is also written as : (*)
The given confidence interval for population proportion :
(2)
Comparing (1) and (2) , we get
Lower limit = (3)
Upper limit = (4)
Adding (3) and (4) , we get
Put value of in (2) , we get
Put values of and E= 0.111 in (*) , we get
Required form =
Complete question:
CHECK ATTACHMENT FOR THE DIAGRAM.
Answer:
Angle 7 is 76°
Step-by-step explanation:
From the diagram, notice that angle 4 = angle 5
That is,
Δ4 = Δ2
Because vertically opposite angles are equal.
Δ4 = 7x
Δ2 = 126
So
126 = 7x
Divide both sides by 7
x = 126/7 = 18
Again, angle 5 = angle 7
Δ5 = Δ7
Because vertically opposite angles are equal.
Since Δ5 = (4x + 4)°
And x = 18
Then
Δ7 = 4(18) + 4 = 72 + 4 = 76°