The first number will be 500
the second number will be 600
and the last number will be 990
Answer:
It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.
Step-by-step explanation:
Let's write given statement as [ x ] = ] x+1 [
where [ x ] step function means next integer greater than or equal to x,
and ] y [ means last integer less than or equal to y.
Let's take an example of x = 2.5
So [ 2.5 ] = 3.
and ] 2.5 + 1 [ = ] 3.5 [ = 3.
Similarly, we can take any example of Real numbers like 3.7, 4.2, 5.6, 8.9 etc.
It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.
The distance formula is sqrt((x1-x2)^2 + (y1-y2)^2), therefore (3-(-6))^2 = 9^2 and (5 -(-6))^2 = 11^2 so 121 + 81 = sqrt(202), this converted to decimal is ~14.21, so D.
Answer:
16π square units.
Step-by-step explanation:
Please refer to the graph below.
So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).
By the shell method:
We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):
Evaluate. Simplify:
Hence:
Evaluate:
![\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20V%20%26%3D%202%20%5Cpi%20%5CBig%5B%284%282%29%5E2-%5Cfrac%7B1%7D%7B2%7D%282%29%5E4%29-%284%280%29%5E2-%5Cfrac%7B1%7D%7B2%7D%280%29%5E4%29%5CBig%5D%5C%5C%20%26%3D2%5Cpi%288%29%20%5C%5C%26%3D16%5Cpi%5Ctext%7B%20square%20units%7D%20%5Cend%7Baligned%7D)
