V = PI x r^2 x h/3
3.14 x 7^2 x 24/3
49 x 8 = 392
answer is 392PI units^3
answer is B
Answer:
13t² + 2t + 9
Step-by-step explanation:
(9t² - 3t + 5) - (-4t² + 5t + 4)
Solving like terms
-(-4t²) becomes + 4t²
(9t² + 4t²) + (-3t + 5t) + (5+4) =
13t² + 2t + 9
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-Chetan K
Answer:

Step-by-step explanation:

This is a homogeneous linear equation. So, assume a solution will be proportional to:

Now, substitute
into the differential equation:

Using the characteristic equation:

Factor out 

Where:

Therefore the zeros must come from the polynomial:

Solving for
:

These roots give the next solutions:

Where
and
are arbitrary constants. Now, the general solution is the sum of the previous solutions:

Using Euler's identity:


Redefine:

Since these are arbitrary constants

Now, let's find its derivative in order to find
and 

Evaluating
:

Evaluating
:

Finally, the solution is given by:

Average speed = (1/2) (beginning speed + ending speed)
= (1/2) ( 13 m/s + 30 m/s )
= (1/2) ( 43 m/s )
= 21.5 m/s