This is the volume of the sphere & is not at all a linear function.
A linear function of the form of y=kx (k is a given number/coefficient) where
y & x grow at the same rate. Then whatever the input (x) it will generate an output (y) always in the ration y/x, whereas v=4/3 πr³ (coefficient =k =4/3(π), if r increase by 2 units v will increase by 2³ =8 & for r = 3, v increase by 3³ =27.
In short v increases quicker than r. No it's not a linear function
Answer:
i believe the answer will be 23
Splitting up the interval [0, 6] into 6 subintervals means we have
![[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]](https://tex.z-dn.net/?f=%5B0%2C1%5D%5Ccup%5B1%2C2%5D%5Ccup%5B2%2C3%5D%5Ccup%5Ccdots%5Ccup%5B5%2C6%5D)
and the respective midpoints are

. We can write these sequentially as

where

.
So the integral is approximately

Recall that



so our sum becomes

Answer: 15
Step-by-step explanation:
For this you will have to use pythagoras’ theorem.
The formula for the shorter side of this triangle is u²=c²-b² (or in this case u²=17²-8²).
17²=289
8²=64
The formula becomes u²=289-64 or u²=225
Then to find u on its own you have to square root 225.
The square root of 225 is 15.