第3章 3.12

(1)

S=12r2θS = \frac{1}{2}r^2\theta

S′=12⋅2r⋅θ=rθS' = \frac{1}{2}\cdot 2r \cdot \theta = r\theta

(2)

V=13πr2hV = \frac{1}{3}\pi r^2 h

V′=13πr2=13πr2V' = \frac{1}{3}\pi r^2 = \frac{1}{3}\pi r^2

(3)

v=Q2πR2v = \frac{Q}{2\pi R^2}

v′=12πR2v' = \frac{1}{2\pi R^2}

(4)

u=U(1−r2R2)=U−Ur2R2u = U\left(1 - \frac{r^2}{R^2}\right) = U - U\frac{r^2}{R^2}

u′=−U2rR2=−2UrR2u' = -U\frac{2r}{R^2} = -\frac{2Ur}{R^2}

解説: r31bn1z