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The distance x of a particle from a fixe...

The distance x of a particle from a fixed point at time t is given by, x = 5 + `A sin 2t + B cos 2t,` where A and b are given to be 3 and 4 respectively. However, it is found on measurement that there is a 1% erroe in the maximum value of x and this is due to an error in A only. Find the percentage error in A.

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The correct Answer is:
`(50)/(9)`
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The distance x of a particle from a fixed point at time t is given by, x = 5 + A sin 2t + B cos 2t, where A and b are given to be 3 and 4 respectively. However, it is found on measurement that there is a 1% error in the maximum value of x and this is due to an error in A only. The percentage error in A is (50)/(k) ,then find k.

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