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:
$15.21
Step-by-step explanation:
The tax and tip percentages are both being figured on the original bill amount, so they can be added. The tax and tip together come to ...
11.75% +15% = 26.75%
This is added to the original bill amount, so the final total will be ...
$12 + $12×0.2675 = $12×1.2675 = $15.21
Vera's meal cost $15.21.
9/10 = 36/40
9/10 x 4/4 = 36/40
The answer is 11.265408 km.
To calculate the number of kilometers, we will use several conversions:
A) 1 mi = 63,360 in
B) 1 in = 2.54 cm
C) 1 cm = 0.00001 km
A) 1 mi = 63,360 in
7 mi = 63,360 in · 7 = 443,520 in
B) 1 in = 2.54 cm
443,520 in = 2.54 cm · 443,520 = 1,126,540.80 cm
C) 1 cm = 0.001 km
1,126,540.80 cm = 0.00001 km · 1,126,540.80 = 11.265408 km
The mirror has 5 sides. Its shape is a pentagon. Penta means 5.
Perimeter of a church window is 80 inches. If the window is square shaped, its length of each side is 20 inches.
80 inches / 4 sides = 20 inches.
