Answer: V = 
Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:
V =
Δx
Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:
V = 
Then, for the region generated by y = - x + 4:
V = 
V = 
V = 
V = 
V = 
The volume of the revolved region is V =
Step-by-step explanation:
it is 5/6 ..............
Answer:
The frequency of the given sinusoidal graph is 4.
Step-by-step explanation:
The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.
From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to
.
If the complete its one cycle in
, then the number of cycles completed by the graph in the inteval 0 to 2π is



Therefore the frequency of the given sinusoidal graph is 4.
Answer:
95%
Step-by-step explanation:
Total distance of trip = 980 miles
Miles covered when Amelia slept = 931 miles
what percentage of the total trip had they travelled when Amelia fell asleep?
Miles yet to be covered = 980 miles - 931 miles
= 49 miles
percentage of the total trip had they travelled when Amelia fell asleep = 931 / 980 × 100
= 0.95 * 100
= 95%
X and y are switched and y times -1 so
reflection across the x=y line (identiy line)
and since the x place it times -1, that is a reflection across y axis
so reflection across x=y line and y axis