Answer:
189
Step-by-step explanation:
let the number be n , then number multiplied by itself is n² and
n² = 567 × 63 = 35721 ( take square root of both sides )
n =
= 189
Parallel = same slope
Y = 2.4x + b
Plug in the point to find b
1 = 2.4(3) + b
1 = 7.2 + b
b = -6.2
Final equation: y = 2.4x - 6.2
Answer:
It represents a circle of radius 2, centered in the origin of the plane xy and transversal to the z-axis in z=-1.
Step-by-step explanation:
The first thing to notice is that

<u>represents a circle of radius 2</u>, with its center in the origin of a plane xy, of cartesians coordinates.
Starting from here, we have to put the coordinate z, to complete the space R³. <em>Then, the cirlce will "live" into the plane xy, where z=-1</em>.
Finally, we have that this region is a circle of radius 2, centered in the origin of the plane xy, and transversal to z=-1.
Answer:

Step-by-step explanation:
You are given this data:
![\left[\begin{array}{cccccccccccc}long&0&1.5&3&4.5&6&7.5&9&10.5&12&13.5&15&&\\Area&0&18&59&78&93&105&118&128&63&38&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccccccc%7Dlong%260%261.5%263%264.5%266%267.5%269%2610.5%2612%2613.5%2615%26%26%5C%5CArea%260%2618%2659%2678%2693%26105%26118%26128%2663%2638%260%5Cend%7Barray%7D%5Cright%5D)
First, calculate the x points by dividing the total length in 5:

x=3,6,9,12,15
Now you calculate the half point of the x axis intervals you just calculated:

and find the function values of each of them (the Area for each cut):
A(1.5) = 18
A(4.5)=78
A(7.5)=105
A(10.5)=128
A(13.5)=38
Now you have formed the rectangles (see diagram below).
To calculate the volume, just use the next equation given by the midpoint rule:
