請問這題的過程怎麼計算～ 題目是要求二次導函數及最大最小值 （照片黑色部分是題目 藍色部分是解答）

No. Date (37₁flx) = (x-2)³ x² fix)= 241X22) 74 (a-b) ² = a ²³-3a²b+3ab²-6³ svitalar maximum at (-4, -13,5) quitalay Test fails for x=2₁

請問有人知道怎麼算嗎？拜託了🙏

11. [-/6 Points] DETAILS Find the constants a and b such that the function is continuous on the entire real line. a = b = LARCALC12M 1.4.073. 5, f(x) = ax + b, -5, 13 X ≤-2 -2<x<3 X23

照片中的e代表什麼？

. ni = BT³ = 53/2hT Ni N

該如何拉式轉換

y +4y=+ Y(0) = 4(0)=1 z L {Y'3+ 1 {y} = {{t} SYLS)-S Y ) - Y X 14/15) = 5 (374) YIG) = 1 / 2 + 5+1 1 Y (6)= 3 (5²4 + Y Stl 64 6) 413 $*$%) = { "[40:3+2 (en S184) 3 1974

第52.自己算了一個跟解答很接近的答案，但還是不知道哪裡不對，求解過程🙏感謝（附解答）

Evaluating a Definite Integral In Exercise KO 47-52, evaluate the definite integral. 63. C! the and tial x(x2 + 1) dx 47. 2x2x3 + 1 dx 48. 1 1 49. 1 • dx 、+ 1 (2x + 1 so. S tant contra dx x(1 + [atta de 51. [ are de 、 。 64.0 es 03/ 52. 1 dx 13 72

第6題求解，謝謝

) (10%) Let x2 + y23 = 5. dy (1) Find (2) Find the equation of tangent line at the point(8, 1). dx

請問第53題的反函數為什麼長得一樣？

x - 1) 43. f(x) = x + 12 44. f(x) = x - 3 + + 2) + 4) f(0) = 3 (X-0 (。 c+2) = = = ses 29–34, nd simplify = = Finding an Inverse Function In Exercises 45-56, find the inverse function of f. See Example 7. 45. f(x) = 2x – 3 46. f(x) = 5 – 4x 47. f(x) = 2x + 1 48. f(x) = -6x – 4 49. f(x) = xs 50. f(x) = x3 日 1 2 2 51. f(x) X 52. f(x) = – 0 < < 54. f(x) = x2 – 4, x 2 2 55. f(x) = x2/3, x 20 56. f(x) = x3/5 1 f(x f(x)= = X X - +3 (x) 53. f(x) = 9 – x?, Osxs 3 f"W-14-X?, OSXE3 () = - = - X = - = Determining Whether a Function Is One-to-One In Exercises 57-62, use a graphing utility to graph the function. Then use the Horizontal Line Test to determine whether the function is one-to-one. If it is, find its inve

求救 我實在不知道怎麼把1-cos3x處理掉

下午3:58 10月2日週六 未命名的筆記本。 88 Q a 段考練習題 6. Find the limit. 1 - cos 3x lim x+0 2x lim 1-cos3x X7 0 2x

五六七題怎麼算

1:114 ..ll 4G 山 ) 機率練習題.doc 一.一般皆認為六月是最適宜結婚的月份。依據統計資料,T市每年約有23,500對 新人結婚,其中大約有2.200對在六月完婚。試分別依下列各機率理論計算出一對新 人在六月結婚的機率。 1. 相對次數機率理論 2.主觀機率理論 3.先驗機率理論 二若A、B是獨立事件,PCA) = 0.6, P(B) = 0.2,試求: 1. P(A|B)與P(A|B) 2. P(An B)與P(An B) 3. P(AUB) HP(AUB) 三.A、B為互斥的兩事件,已知 P(A) = 0.4, P(B) = 0.5 ,計算: 1. P(An B) HP(ANB) 2.P(AUB) AU P(AUB) 3. PĀUB) 4.A、B是否分割樣本空間? 四.若A、B、C恰可構成樣本空間的分割集合,則A、B、C是否必為獨立? 五.已知P(An B)=0.17, P(An B) = 0.28,且P(An B) = 0.33 ,計算: 1. P(A|B) 2. P(AUB) 六,投擲三枚銅幣,定義:E:第一枚為正面,E.:後二枚是同正或同負,E:三枚 中至少有一枚為負,試問: 1. El與E2是否獨立? 2. E1與E3是否構成一分割集合? 七李媽媽自一籤筒中抽取二支籤,該筒中共有12支上籤,10支下籤,2支中籤。 1.若她於抽第二支籤之前,將第一支鏡放回,則抽出之兩支鏡同為上鏡或同為中 簽之機率是多少? 2. 若她於抽第二支籤之前,不將第一支籤放回,則抽出之兩支籤同為上簽或同為 中籤的機率為多少? 八東海公司有員工160人,按性別及工作性質來分類的資料如下: 內勤人員(E) 26 業務人員(S) 62 男(M) 女(F) 40 32 1.計算並解釋下列各機率:PCEaF),P(MAS), POSTF),P(FIS)

大一普化 5.36求解

5.38 9389 信4 5,42 sphere (about 30 Where the temperatu lbove the surface of Earth), >and presSure are 一235C : h gd 交 and 3.00 XX 10 atm, respectively. Calculate the final Volume of the balloon. The temperature ot 2.5 L of a gas initially at SUN increased to 2507”C at constant volume. Calculate the final pressure of the gas in atm. The pressure of 6.0 L of an ideal gas in aflexible contalner 1S decreased to one-third of its original presSure, and 1ts absolute temperature 1s decreased by one-half. What 1s the flnal volume of the gas? A gas evolved during the tfermentation of glucose (wine making) has a volume of 0.78 L when mea- sured at 20.1?C and 1.00 atm. What was the volume of this gas at the fermentation temperature of 36.5 C and 1.00 atm presSure? An ideal gas originally at 0.85 atm and 66”C was allowed to expand until its final Volume, preSSure, and temperature were 94 mL, 0.60 atm, and 45 C, respectively. What was its initial volume? The volume of a gas at STP is 488 mL. Calculate 1ts volume at 22.5 atm and 1507C. A gas at 772 mmHg and 35.0”C Qceuples a Volume of 6.85工. Calculate its volume at STEP. Dry ice is solid carbon dioxide. A 0.050-g sample ot dry ice js placed in an evacuated 4.6-L vessel at 30。C. Caleulate the pressure inside the VesSel after all the dry ice has been conVerted to CO gasS, Avolume of 0.280Lofagas at STP weighs 0.400 g. Calculate the molar mass Of the gas. Aquantity of gas Weighing 7.10g at741tor and 445C oeeupies a volume of 5.40L. What is its molar mass? Si人2 5.93 5.54 Dalt 和Ae0U76 5 5.56