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
9514 1404 393
Answer:
a. $488
b. 12 hours at $18.30 = $219.60
c. $707.60
Step-by-step explanation:
a) You correctly computed Brown's straight-time pay. His pay is ...
40 hours at $12.20 per hour = $488
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b) Brown's overtime pay is 1.5 times his straight-time pay per hour:
OT pay rate = 1.5 × $12.20 = $18.30 . . . per hour
The amount of overtime is 52 hours - 40 hours of straight time = 12 hours. Then the overtime pay is ...
12 hours at $18.30 per hour = $219.60
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c) Brown's total pay is the sum of straight-time pay and overtime pay:
$488.00 +219.60 = $707.60 . . . total pay
Answer:
<u>y = x ( - 3 ) + 1</u>
Step-by-step explanation:
Find what relationship x and y have. In this case, y is x multiplied by -3, plus 1.
(3,-8) The number 3 is x and -8 is y. Use the rule above to see if it's correct. Like so: -8 = 3 ( - 3) + 1
-8 = -9 + 1
-8 = -8
The rule/equation is correct.
:))
Answer:
The length of JK is 19. All you have to do is subtract -9 from 10 since they have the same x-coordinate.
10-(-9)
10+9
19
Step-by-step explanation:
