The volume of the cylinder is
62.83 units³
Answer:
<u>Fraction:</u>

<u>Decimal:</u>

Step-by-step explanation:
Step-by-step on how to solve it is in the picture below.
Hope this helps! :)
From the graph , we have to find the length, width and height of the prism to calculate volume .
And for that we have to use distance formula.

And the formula of volume is

Answer:
Step-by-step explanation:
we have the following differential equations

by differentiating the second equation we have

and we replace dx/dt in the first equation

and by using the characteristic polynomial

the solution is

and to compute x(t) we have
![\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%3D-2Acos%282t%29-2Bsin%282t%29%5C%5C%5C%5C%5Cint%20dx%20%3D%20%5Cint%5B-2Acos%282t%29-2Bsin%282t%29%5Ddt%5C%5C%5C%5Cx%28t%29%3D-Asin%282t%29%2BBcos%282t%29)
and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

I hope this is useful for you
regards
Answer:
x-intercept: (2/3, 0)
y-intercept: (0, -2)
Step-by-step explanation:
x-intercept: when y = 0
3x - y = 2
3x - 0 = 2
x = 2/3
y-intercept: when x = 0
3x - y = 2
0 - y = 2
y = -2