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4章の演習問題(全問)

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= + + +<br />

2<br />

t ax bx c ax<br />

⇒ − = + + ⇒ −2<br />

⋅ + = + +<br />

2 2 2 2<br />

t ax ax bx c t t ax ax ax bx c<br />

⇒ −2 ⋅ = + ⇒ − = + 2 ⋅ = ( + 2 )<br />

2 2<br />

t t ax bx c t c bx t ax b at x<br />

2<br />

t − c<br />

⇒ x= : x<br />

b + 2 at<br />

−2<br />

⋅ = +<br />

2<br />

t t ax bx c<br />

⇒ 2tdt −2 a ⋅tdx −2 a ⋅ xdt = bdx ⇒2( t − a ⋅ x) dt = ( b + 2 a ⋅t)<br />

dx<br />

⎛<br />

2⎜t−<br />

2( t−<br />

a⋅x)<br />

⇒ dx = dt =<br />

⎝<br />

b+ 2 a⋅t<br />

2 + − ⋅ + ⋅ + +<br />

= 2 dt = 2<br />

2<br />

⎛ t − c ⎞⎞<br />

a⋅⎜ ⎟ ⎟<br />

2<br />

⎝b+<br />

2 at⎠⎠<br />

t b+ 2 at − a t −c<br />

dt = 2<br />

2<br />

b+ 2 a⋅ t b+ 2 a⋅t<br />

2 2 2<br />

at bt a t c a a t bt c a<br />

( b+ 2 a⋅ t) ( b+ 2 a⋅t)<br />

2 2<br />

<br />

dx t dt<br />

( ) ( )<br />

( )<br />

dt<br />

dt<br />

= + + +<br />

2<br />

t ax bx c ax<br />

2 2<br />

( 2 ) ( )<br />

2<br />

( b+ 2 at) t− a( t −c)<br />

t − c<br />

⇒ + + = − = − =<br />

2 2<br />

2<br />

2<br />

ax bx c t ax t a<br />

b + at b + at<br />

bt + a ⋅t − a t −c 2<br />

a⋅ t + bt+<br />

c a<br />

= =<br />

b+<br />

2 at<br />

b+<br />

2 at<br />

: <br />

2<br />

ax + bx + c

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