Question: Find the total charge on the curve (mathbf{r}(t)=left(sin t, cos t, sin ^{2} tight)) in centimeters for (0 leq t leq frac{pi}{8}) assuming a charge
Find the total charge on the curve \(\mathbf{r}(t)=\left(\sin t, \cos t, \sin ^{2} tight)\) in centimeters for \(0 \leq t \leq \frac{\pi}{8}\) assuming a charge density of \(ho(x, y, z)=x y\left(y^{2}-zight)\) (in units of \(10^{-6} \mathrm{C} / \mathrm{cm}\) ).
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Using the trigonometric identities sin 2 t2 sin t cos t and cos 2 tcos 2 tsin 2 ... View full answer
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