有高手能幫忙解答嗎

2. Let P be the set of all polynomials with integer coefficients and Pn = {ƒ € P: ƒ has degree n} for n € N. Prove that Pn and P are countable.

求解這倆題~

1. tan(cos¹ (2/5)) 2. sin(tan¹(x))

請問這題怎麼求

2. (10%)求使下列級數收斂的正數p值範圍 00 1 Σn (Inn)P n=2

請問這兩題大一的微積分怎麼算，謝謝🙏

23. 折舊 某物的價值 V(美元) 為時間 t(年) 的函 數 V = 15,000e-0.6286t (a) 畫出在區間 [0, 10] 的函數圖形。 (b)求 t = 1 時,V的變化率。 (c) 求t = 6時,V的變化率。 24.複利 某銀行儲蓄帳戶的餘額為 4 = 50000.081,其中t代表年份。 (a) 試求 t = 1 年;(b) t = 10年;(c) t = 50 年 的變化率。

請問這題怎麼算

lim sinxenx S xrot

化生系的微積分科目，謝謝。

1. Find the slope and concavity for the curve given by x sin3 0, y = cos3 0 at 0 = = 专 = = 2. Find the arc length of the curve - - X x = 3 sin – sin 30, y = 3 cos 0 – cos 30, 0 : 0 <o< 3. Find an equation in rectangular coordinates for the surface represented by the spherical equation o = 7 = TT 6. 4. Find an equation in spherical coordinates for the surface represented by the rectangular equation x² + y2 = 16. . =

化生系的微積分科目，謝謝。

1. Find the slope and concavity for the curve given by x sin3 0, y = cos3 0 at 0 = = 专 = = 2. Find the arc length of the curve - - X x = 3 sin – sin 30, y = 3 cos 0 – cos 30, 0 : 0 <o< 3. Find an equation in rectangular coordinates for the surface represented by the spherical equation o = 7 = TT 6. 4. Find an equation in spherical coordinates for the surface represented by the rectangular equation x² + y2 = 16. . =

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七、判断级数(-1)^" 1-1 Inn 的敛散性,如果收敛是条件收敛还是绝对收敛,(8分) = 0 A

請問第四題

4. 設f(x)在x=a處的導數f'(a) 存在,若 lim h→0 求t之值。 f(x)-f(a) 解f(x)=lim xxa x-a ⇒ t f(a) = 5. 設f(x)=6x²-4x+1,試求: (1) f'(x)及f'(1)。 (2) f(x)及f (1)。 (1)f(x)=184-8x f(a+5h)-f(a) h (e) f(x)= 36X-8 5"-28 =tf(a), 配合課本 P.81 配合課本例題3 (每小題4分)

求解這一題的完整解題過程 謝謝🙏🙏

16. Let f(x) = x3 (1 + 2x3)1/2, thenf (12)(0) = 1 ( = 計算