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
Does it tell you what X represents?
Answer:
The probability that a randomly selected person is not color blind is 0.958
Step-by-step explanation:
Given,
C represents red-green color blindness,
Also, the probability that a randomly selected person is color blind,
P(C) = 0.042,
Thus, probability that a randomly selected person is not color blind,
P(C') = 1 - P(C) = 1 - 0.042 = 0.958
Answer:
Yes
Step-by-step explanation:
The base of both the cylinder and Circle are both circles.