Answer:
Volume = 16 unit^3
Step-by-step explanation:
Given:
- Solid lies between planes x = 0 and x = 4.
- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)
Find:
Determine the Volume bounded.
Solution:
- First we will find the projected area of the solid on the x = 0 plane.
A(x) = 0.5*(diagonal)^2
- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,
A(x) = 0.5*(sqrt(x) + sqrt(x) )^2
A(x) = 0.5*(4x) = 2x
- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:
V = integral(A(x)).dx
V = integral(2*x).dx
V = x^2
- Evaluate limits 0 < x < 4:
V= 16 - 0 = 16 unit^3
Answer:
6
Step-by-step explanation:
Step 1:
3 ( 2x - 5 ) - 4x + 8 = - 1
Step 2:
5x - 15 - 4x + 8 = - 1
Step 3:
x - 15 + 8 = - 1
Step 4:
x - 7 = - 1
Answer:
x = 6
Hope This Helps :)
Answer: Option 'A' is correct.
Step-by-step explanation :
Since we have given that
Number of medals = 2
Number of runners = 8
We need to find the number of ways to award the medals.
We would use "fundamental theorem of counting" to find the number of ways.
So, number of ways is given by
8 × 7 = 56
Hence, option 'A' is correct.
1/0.125
I really hope this helps
Answer:
125.6
Step-by-step explanation:
all you have to do is multiple the 3.14 with 40 cm to get 125.6 cm
