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Neutrinos are hard to detect because they are 100,000s of times smaller than an electron, so are too small to detect with current equipment. They also dont have a charge and do not interact with any other...

p=4pi² differentiating with respect to y we have dx/dy = 2(4y-sin2y)(4-2cos2y) substituting in the value of y =pi/2 we have dx/dy = 24pi, which means dy/dx =1/pi24using (y-y_1)=m(x-x_1) we have...

x = cos2θ  y = sinθcosθcos2θ = cos² θ  - sin²θ cos² θ  + sin²θ  = 12cos² θ  = 1 + cos2θ cos² θ  = 1/2(1 + x)2sin²θ  = 1 - cos...

Work done = Force x distance the applied force has moved, hence 500 = 25d where d = unknown distance. Therefore the distance moved is 500/25 = 20m

This can be rewritten as x^1/2 + 4x^-1/2+ 4, hence dy/dx = (1/2)x^-1/2 - 2x^-3/2