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:
He drives at 54 mph. He will get 108 miles if he drives at that rate for 2 hours.
Step-by-step explanation:
9 miles in 1/6 of an hour
9x6=driving speed of 54mph
54x2 is 108 miles
answer:
-1
step-by-step explanation:
Answer:
110degrees
Step-by-step explanation:
Complete question
Q4: If x and y are two supplementary angles whereas m<x=70 then find the m<y.
The sum of two supplementary angles is 180degrees, hence;
m<x + m<y = 180
70 + m<y = 180
m<y = 180 - 70
m<y = 110degrees
Hence the measure of ,=m<y is 110degrees
