What is the value of the expression below? 2 [32 – (4 – 1)] Enter your answer in the box.
1 answer:
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Answer:
The positive value of k that the function y = sin(kt) satisfies the differential equation y'' + 144y = 0 is +12
Step-by-step explanation:
To determine the positive values of k that the function y = sin(kt) satisfy the differential equation y''+144y=0.
First, we will determine y''.
From y = sin(kt)
y' =
y' =
y' = kcos(kt)
Now for y''
y'' =
y'' =
y'' =
Hence, the equation y'' + 144y = becomes
+
∴
±
±
∴ or
Hence, the positive value of k that the function y = sin(kt) satisfies the differential equation y'' + 144y = 0 is +12
Answer:
Step-by-step explanation:
Given
4
The 4 can be placed inside the radical by squaring it, that is
4
=
=
=