Answer:
0.3
Step-by-step explanation:
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Answer:
True
Step-by-step explanation:
anything over 9 that is not 9 is a repeating decimal
Let r = (t,t^2,t^3)
Then r' = (1, 2t, 3t^2)
General Line integral is:

The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector


Fortunately, this simplifies nicely with a 'u' substitution.
Let u = 1+4t^2 +9t^4
du = 8t + 36t^3 dt

After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
Angular velocity = 300 revolutions per minute
1 revolution = 2π radians.
So, we can write:
Angular velocity = 300 x 2π radians per minute = 600π radians per minute
1 minute = 60 seconds.
So,
Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second
Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.
Answer:
The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
where
B is the area of the rectangular base
h is the height of the prism
In this problem we have
substitute and solve for B
-----> area of the rectangular base
therefore
The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to
Step-by-step explanation: