Answer:
249
Step-by-step explanation:
We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is <em>arithmetic </em>(a fancy word of saying that a sequence is increasing with a constant value every term).
Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form 
, where 
is the term number and 
is a constant we are going to figure out right now.
We know that the first term of the sequence is -12, so we see that
and hence 
. Therefore, the 30th term of the sequence is 
.
Answer:
The answer is "sometimes"
Step-by-step explanation:
Answer:
The function is continuous at x = 36
Step-by-step explanation:
From the question we are told that
The function is 
The point at which continuity is tested is x = 1
Now from the definition of continuity ,
At function is continuous at k if only
So
![\lim_{x \to 36}f(x) = \lim_{n \to 36}[x * \sqrt{ \frac{x}{ (x-6) ^2 } }]](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%2036%7Df%28x%29%20%20%3D%20%20%5Clim_%7Bn%20%5Cto%2036%7D%5Bx%20%2A%20%20%5Csqrt%7B%20%5Cfrac%7Bx%7D%7B%20%28x-6%29%20%5E2%20%7D%20%20%7D%5D)
Now
So the given function is continuous at x = 36
because
Sin-495 = 0.98
cos-495 = 0.19
tan-495 = 4.95
sin<span>-20π/3</span> = 0
cos<span>-20π/3</span> = 0.3
tan<span>-20<span>π/3</span></span> = 0
What graph? Show me in the comments if you can.
