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:
D.) 108 in.2
Step-by-step explanation:
Use the equations you know to help you figure this out. It may not be easy, but for you to understand, you need to learn how to do it. If you want work, try it out.. Not to be rude...
Answer:
4.5in=11.43cm
Step-by-step explanation:
4.5*2.54=11.43
Change into slope-intercept form:
y= -3/4x + 5
We will be using the point slope formula to write the perpendicular equation:
y - y1 = m (x - x1)
y + 2 = 4/3(x + 3)
y + 2 = 4/3x + 4
y = 4/3x + 2
Answer:
y = 4/3x + 2
Answer:
42÷14=3
evey kid will get 3 candies with no leftover.
