Question

In: Math

Consider the spiral path x(t) = (cos^2t,sin^2t,t) for 0 ≤ t ≤ π/2. Evaluate the integral...

Consider the spiral path x(t) = (cos^2t,sin^2t,t) for 0 ≤ t ≤ π/2. Evaluate the integral x dx−y dy + z^2 dz

Solutions

Expert Solution

By parametrization, we will evaluate the line Integral where the parametric equations of the spiral path are

x(t)= Cos​​​​​​​​2(2t) , y(t)= sin 2(2t) and z(t)= t​​​​​ with .

The step by step explanatory solution is provided below.


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