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Gekata [30.6K]
3 years ago
6

Antoine has $13 in his checking account. He buys some school supplies and ends up with $5 in his account. what was the overall c

hange in antoine's account
Mathematics
1 answer:
ladessa [460]3 years ago
6 0
13-5 is how you would do this so your answer would be 8 :)
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The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )Sta
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Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

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To find s, we have to integrate and apply the initial values of s = o when t = 0:

\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

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Step-by-step explanation:

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