Integer,Irrational is the answer
Answer:
(14a+3, 21+4) = 1
Step-by-step explanation:
We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.
gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1
Therefore,
(14a + 3, 21a + 4) = 1
Answer:
or StartFraction 2 (1 minus e) Over pi EndFraction
Step-by-step explanation:
The average rate of function f(x) over the interval [a,b] is given by:-
![\dfrac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Given : ![f(x)=e^{\sin x}](https://tex.z-dn.net/?f=f%28x%29%3De%5E%7B%5Csin%20x%7D)
The average rate of change over
will be:
![\dfrac{f(\pi)-f(\dfrac{\pi}{2})}{\pi-\dfrac{\pi}{2}}=\dfrac{e^{\sin \pi}-e^{\sin \dfrac{\pi}{2}}}{\dfrac{\pi}{2}}\\\\=\dfrac{e^0-e^1}{ \dfrac{\pi}{2}}\\\\=2(\dfrac{1-e}{\pi})](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28%5Cpi%29-f%28%5Cdfrac%7B%5Cpi%7D%7B2%7D%29%7D%7B%5Cpi-%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%3D%5Cdfrac%7Be%5E%7B%5Csin%20%5Cpi%7D-e%5E%7B%5Csin%20%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%7D%7B%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7Be%5E0-e%5E1%7D%7B%20%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%5C%5C%5C%5C%3D2%28%5Cdfrac%7B1-e%7D%7B%5Cpi%7D%29)
Hence, the average rate of change over
is
.
Answer: 10√2 + 3√6
Step-by-step explanation:
✓Very trick question, but the sentence itself must be clearly understood
✓Tne square root of 5 times the quantity of 8 means that it's 5 multiplied by the quantity 8
✓ That is, 5 × √8
5√8 + 3√6
(Note that √8 can be simplified to √4 × √2
5× √2 × √4 + 3 × √2 × √ 3
=10√2 + 3√6
The answer to your question is the second option, 3(4a − 2) = (4a − 2) ⋅ 3
Hope this helps!