
We know that the Angle subtended by an arc on centre of the circle is double as that of Angle subtended by the same arc on the circumference (boundary) of the circle
So,
Answer:
The domain restriction for (f/g)(x) is x=7
Step-by-step explanation:
we have


so

Remember that
the denominator can not be equal to zero
so
Find the domain restriction
x-7=0
x=7
therefore
The domain is all real numbers except the number 7
(-∞,7)∪(7,∞)
Answer:
x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
Answer:
Step-by-step explanation:
a) 
Substitute limits to get
= 
Thus converges.
b) 10th partial sum =

=
c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)
where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .
(question is not clear)
Answer:
18
Step-by-step explanation:
54-36=18
36-24= 12
it is going down by multiples of six, so you would take 24 and subtract 6 and you will get 18