We want to find
, for
.
Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:
.
Thus,
![y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3](https://tex.z-dn.net/?f=y%27%3D%5B%28x%5E2%2B2%29%5E3%5D%27%5B%28x%5E3%2B3%29%5E2%5D%2B%5B%28x%5E3%2B3%29%5E2%5D%27%5B%28x%5E2%2B2%29%5E3%5D%5C%5C%5C%5C%20%3D3%28x%5E2%2B2%29%5E2%28x%5E3%2B3%29%5E2%2B2%28x%5E3%2B3%29%28x%5E2%2B2%29%5E3)
Answer: A)
.
We use the formule: t=S/v. So:
+ t1= 160/100 = 8/5 hrs = 5760''
+ t2= 160/90 = 16/9 hrs = 6400''
=> t2-t1= 6400 - 5760 = 640'' = 10'40''
Answer:
Step-by-step explanation:
There are 20 men and 8 of them prefer movies.
The limit is equivalent to the value of the derivative of
at
. (See definition of derivative)
Answer:
the formula represent the correct way is π(4)^2 (5)
Step-by-step explanation:
The formula that represent the correct way to calculate is given below:
As we know that
Volume = πr^2 h
where
r denotes the radius i.e. 4 inches
And, h denotes the height i.e. 5 inches
Now placed these values to the above formula
So,
= π(4)^2 × 5
= 80π in^3
Hence, the formula represent the correct way is π(4)^2 (5)
