Given:
where, 
.
To find:
The value of 
.
Solution:
We have,
Differentiate with respect to x.
Using chain rule, we get
Now, put x=5.
![[\because g(5)=-1,g'(5)=8]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%285%29%3D-1%2Cg%27%285%29%3D8%5D)
![[\because f'(-1)=3]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%27%28-1%29%3D3%5D)
Therefore, the value of is 24.
Answer:
2.5mg
Step-by-step explanation:
Since the half-life for the radioactive material is 3 hours, Therefore it will undergone two times of half-life process.
The first 3 hours 10mg will be decreased into 5mg. The final 3 hrs, it will decreased from 5mg to 2.5mg
Answer:45
Step-by-step explanation:
y varies directly as x^2
y=k x x^2
When y=5 x=3
5=k x 3^2
5=k x 9
K=5/9
Relationship is y=5x^2/9
y=(5x9^2) ➗ 9
y=(5x81) ➗ 9
y=405 ➗ 9
y=45
The answer is 6/10. You have to multiply both the numerator and the denominator by two because the second picture is split in two
