微積分 我想問第（3）題

1. 下列各題:求f(x)在 I 上的所有奇異點,並決定f(x)遞增、遞減的範圍。最後, 作f(x) 值的走勢圖,指出產生相對極值以及絕對極值的地方。 (1) f(x)=x²-3x+6, I = [-2, 2] (2) f(x)=x²-6x²+9x-6,I= [0, 5] (3) f(x)=x²e-*,I=R (4) f(x)=-x°+9x²-15x+10,I= [0, 6]

求解這題微積分！謝謝🙏

轉 8.求下列區域繞指定軸旋轉所得旋轉體的體積:y=x,y=0,x=3, 繞(a) x軸(b) y軸(c)直線 x=3(d)直線 x=6。 10.一貯水槽形 佣陈 1 Int m x2 。 y²

基護-點滴計算 （遇到keep就不會了(；д；)）

實用 (B) 15 gtt/min (D)3 7. Order: 「 Ringer's solution 500ml IVD qd keep 40cc/hr」,請問護理師應使用一般 IV Toou. set 將滴速調整為每分鐘幾滴? (A) 10 gtt/min (C) 20 gtt/min 24720. (D) 5 gtt/min ml 500x15/1 40x60 二 159+/ml 7500 2400 = 3 輸注,且設定滴速為 30 gtt/min,請問需要多少時間才能

想問這題解法，謝謝🙏

In Exercises 17–20, find the volume of the solid generated by revolv- ing the shaded region about the given axis. 19. About the y-axis 1 y x = tan (7) X

求解這題的計算過程 我分部積分積不出來 答案是0.6109 。

5.2. A group of construction workers take time X (in hours) to finish a task. The density function of time X is f(x) = cxe-√x 0 x ≥ 0 otherwise What is the probability that the workers will take more than 10 hours to complete the task?

求過程🥺

it lim ( x-1 - JAX) Inx) x71t ANS=-=-=-=

請問這題怎麼算

In Exercises 19 through 24, find the average value of the given function f(x) over the specified interval a ≤ x ≤ b. 19. f(x) = 1 - x² over -3 ≤x≤ 3

請問第11題怎麼算

In Exercises 5 through 18, sketch the given region RAS and then find its area. 5. R is the region bounded by the lines y = x, y = -x, and x = 1. 6. R is the region bounded by the curves y = x², y = -x², and the line x = 1. 7. R is the region bounded by the x axis and the -x² + 4x - 3. curve y = 8. R is the region bounded by the curves y = e, .ar y = ex, and the line x = In 2. 9. R is the region bounded by the curve y = x² - 2x and the x axis. [Hint: Note that the region is below the x axis.] .85 10. R is the region bounded by the curve y the lines y = x and y = = X 8 1 11 and 11. R is the region bounded by the curves y = x² - 2x and y -x² -x² + 4.

想問這題怎麼算，感謝🙏

Find the absolute maximum value of f(x) = x².ln (1/x) and say where it occurs. A= maximum:X= Je : 厄 . ●

求過程🥺

12) (0,0). BHK) nesteid obem lid (sui =9 X70 extenz Jord mid yasin of (sea) non smorivne sist bluoda (sisos) ANS: -1 #i lim alog iz X-X intim