Answer:
x = 5 cos 2t
Step-by-step explanation:
given equation
x'' + 4x = 0 ; x(0) = 5, x'(0) = 0
L{ x'' + 4 x } = 0
L{x''} + 4 L{x} = 0
s² . L(x) - s . x(0) - x'(0) + 4 L{x} = 0
( s² + 4 ). L(x) - 5 s = 0
L(x) =
= cos at
so,
x = 5
x = 5 cos 2t
First of all, we have
In fact, if we choose , we have
So, let's evaluate the given function at :
(-1,2)
This should help for future problems
<span>https://www.mathportal.org/calculators/analytic-geometry/triangle-calculator.php</span>
9.2 kg of apples and pears combined
4/5 of 9.2 kg are apples
4/5=0.8=80%
100% 9.2 kg
80%. X kg
X= 80 • 9.2/100
X=736/100
X=7.36 kg of apples
9.2kg-7.36kg=1.84 kg of pears
Hello from MrBillDoesMath!
Answer:
See Discussion below.
Discussion:
1/2 = x - 3/4 => add 3/4 to both sides
1/2 + 3/4 = x - 3/4 + 3/4 => as -3/4 + 3/4 = 0
1/2 + 3/4 = x + 0 =>
x = 2/4 + 3/4
x = 5/4 = 1-1/4
Thank you,
MrB