Question

If f(x) = sinx/x, how many points
enist such that f(c) = 0 in (0, 18π)​

Answer 1

Given : f(x) = sinx / x  

To Find :  how many points exist such that f(c) = 0 in (0, 18π)​

Solution:

f(x) = sinx / x  

f(x) = sinc/c   = 0  if sinc = 0  and c ≠ 0

(0, 18π)​

=> 0 < c < 18π

sinc = 0

if c = π , 2π , _____________, 16π, 17π

Hence 17 points

17 points exist such that f(c) = 0 in (0, 18π)​

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