嗯, 事實上是書上答案和我算出來不太一樣,
還請版友們幫忙看一下是答案寫錯還是我寫錯…
(1) Find the derivatives of the following functions
f( θ) = sin( θ) where θis measured in degrees.
我的答案是 ( π/ 180 ) sin( πθ/ 180 )
書上給 cos θ...
(2) Sketch the curve r( θ) = 2 - sin( θ) and find the
area that it encloses in the polar coordinate system.
我算 ( 9π/ 2 )
書上給 ( 9π/ 4 )
附上書上解答：
2π
A_1 = (1/2) ∫ ( r^2 ) dθ= ( 9π/ 8 ) + 2
3π/ 2
π/ 2
A_2 = (1/2) ∫ ( r^2 ) dθ= ( 9π/ 8 ) - 2
0
Then A_total = A_1 + A_2 = ( 9π/ 4 )
※ 編輯: BaBi 來自: 36.234.220.163 (02/08 19:32)