Given that 𝑉 = 4 3 𝜋𝑟 3 𝑎𝑛𝑑 𝐴 = 4𝜋𝑟 2 , 𝑓𝑖𝑛𝑑...

Given that 𝑉 =
4
3
𝜋𝑟
3 𝑎𝑛𝑑 𝐴 = 4𝜋𝑟
2
, 𝑓𝑖𝑛𝑑 𝑑𝐴
𝑑𝑉
. [10 marks]
2. Find the minimum value of the function 2𝑥
3 − 6𝑥
2
.
3. The distance s metres after t seconds covered by a particle moving along
a straight line is given by 𝑠 = 𝑡
3 − 𝑡
2 − 𝑡 − 2. Find the:
(a) average acceleration between t = 2 and t = 4.
(b) acceleration when the velocity is zero
4. Find, with respect to x the derivative of sin 𝑥
1−cos 𝑥?

In Mathematics
4 Answers Available
Asked by Nkechi on 2nd July, 2020