畫藍線的那一行cos轉sin我一直看不懂有沒有那位好心人可以救我🥲

2x5x8 9.△ABC 中,AB =3,AC=2,BC=J5,由AB、AC向外作正方形 ABDE 和正 方形 ACFG,則△AEG的面積= 【答案】5 by 餘弦定理:cos∠BAC= ⇒ △AEG 的面積= 3² +2²-√√5² 2 2x3x2 3 2 → cos LEAG=-cos∠BAC= cos∠BACM-2XLEAG一位 √5 sin/EAG=- 3 3 5 x3x2x. = 3 || = √5 D E =($ F 一厅 08-2x3x2 201

想問第二小題要怎麼算

12. 電影「賭神」的一幕中,牌局顯示赌神的底牌為紅心時,他能以同花 而他的底牌为紅心A 的機率是后,根據過往此神出牌模式,當他拿到致勝底牌 時,喊 showhand 的機率為,若他未拿到致勝底牌仍 showhand 的機率為 已知赌神在此副牌局中出 Showhand,試求他的底牌確實是紅心A的機率 《 1 43 A 5 89 It 品 + 影子 K 42 (不 1 26€ +16 +35€ +40+38€to. 99t-> 1t t -st (c====== 20 T+ 2 -5 7A 三、混合 13. 位於玻利維亞西南部的烏尤尼鹽沼,是世界上最大的鹽湖,因安地斯山脈隆起 過程中形成,位在海拔3700 公尺的山區,每年12月至隔年3月的雨季,經過 61 雨水的堆積,使得這片鹽盘呈現無邊無際的一片粉藍,被譽為「天空之鏡」般 is 的夢幻景色! 假設地球球心為原點 0(0.0.0),設天空之鏡為一平面E, A(2,-5, -2)在 平面E上,且OA垂直平面E,問: (1)平面E的方程式為下列哪個選項?(單選題,2分) B (A)2x-5y-2z=0 (B)2x-5y-2z=33 (D)*42" 1-5 X- 8.948 (2015,-57-25, 27-8) 13 -19 4t+10+25t-115+4t+1653-0 331=132 (4--1t-8 七十 Z=494-5 (2)小倩發現在天空之鏡的上方有一靜止的氣球位於B(-5, -25.8), 她從C(8, -8, -5)看到氣球的倒影位於平面E上的D處, 請求出D點坐標為自學計算题,8分,依計算過程分段給分) 13 11, -7,2) (22+5,-56+25,-2+ 8) -12,25,-2) =0 Z+5 B1-5, -25,8) c(8,-8,5) -7 18, 20,-8) { X=13t+g (21,15874) BL-5, -25,8) | C(8,-8,5) 16,15,-6) de (E. 2X-54.22=33 4t+10+15t-125 +48+16=0 332=99 Sx: 3t+8 - 56 43 ?y=t-8 'Z-5t+s (11, -5,-20) ~46~ (3,1,05) X- 6++16-5t+40 +lot-10-3}=0 llt=y 3 - ~ 12

高二數學-貝氏定理與主觀、客觀機率 （不曉得哪個步驟出了問題，求高手解惑ಥ_ಥ）

赤土患 162 Zw 81 |w > 三進階題:每題9分,共27 分 A: 0.8924. 1. 實驗室透過驗血來測試肝炎,85%的肝炎患者都是呈陽性反應,而5%的非肝 炎患者也會呈陽性反應,今任選一人驗血,若驗後呈陽性反應,則此人患有肝 炎的機率為0.6,則實際患有肝炎者占全體人口的比率為何?(四捨五入至小數 點後第三位) x% < 陽性 BS7。 陰性15% 陽性 5 未表 - K-< 性 45 (陽性),P(患陽性) 0.6. P(陽性) (陽性) - PL(嘉n陽性)(未喪.n陽性)] - P(應陽性) + P(未慈陽性) 85 16-N 5 85%+ 5w-ix 80x+5w To to Iw lno Ino 85% toooo 85% 6 37 80% +56 370x=300 X 80x+5w 850x = 480X+340, lo 第三章 條件機率與貝氏定理 tha - * + X - = 3w 45

高二數學-貝氏定理與主觀、客觀機率 （不曉得哪個步驟出了問題，求高手解惑ಥ_ಥ）

赤土患 162 Zw 81 |w > 三進階題:每題9分,共27 分 A: 0.8924. 1. 實驗室透過驗血來測試肝炎,85%的肝炎患者都是呈陽性反應,而5%的非肝 炎患者也會呈陽性反應,今任選一人驗血,若驗後呈陽性反應,則此人患有肝 炎的機率為0.6,則實際患有肝炎者占全體人口的比率為何?(四捨五入至小數 點後第三位) x% < 陽性 BS7。 陰性15% 陽性 5 未表 - K-< 性 45 (陽性),P(患陽性) 0.6. P(陽性) (陽性) - PL(嘉n陽性)(未喪.n陽性)] - P(應陽性) + P(未慈陽性) 85 16-N 5 85%+ 5w-ix 80x+5w To to Iw lno Ino 85% toooo 85% 6 37 80% +56 370x=300 X 80x+5w 850x = 480X+340, lo 第三章 條件機率與貝氏定理 tha - * + X - = 3w 45

幫解(a)(b)(c)(d)

1. A periodic signal x[n] is shown below. x(n] th 0 2 11 4 5 8 It's Fourier series representation is as follows: x[n] avejkuyn k=<N> (a) Determine the fundamental period N of the periodic signal x[n]. (b) Determine the fundamental frequency wo. (c) Plot the real part of ejern (denoted by Re{ejun}). (hint: eje = cose + jsin) , Refeiwn} →n (d) Plot Re{ej2wyn} • Referawang →n 3 5 2

求救第55題 完全看不懂他要我幹嘛

Year slenue Req) = 1932 1958 +1000 q R 9)=-1000q =74 1963 1968 COM If the price in dollars of a stereo system is given by 1000 p(q) + 1000, 1000 ² q where q represents the demand for the product, find the mar- ginal revenue when the demand is 10. 54. Profit Suppose that for the situation in Exercise 53 the cost in dollars of producing a stereo systems is given by C(q) = 0.2q2 + 69 + 50. Find the marginal profit when the demand is 10. 59. Marginal Product of Labor The output y of a manufacturing y process is a function of the size of the labor force n using the function 1990 +1000 1971 1974 = 990 197 197 19 19 1 y = kVn. The marginal product of labor, defined as dy/dn, measures the rate that output increases with the size of the labor force, and is a measure of labor productivity. (a) Show that (c) Using the a cubic f respond the rate and 200 (d) Discus descri part ( the y (e) Exp data calc ful x C(x) = 58. Money 1955-7 dy k dn an (b) How can you tell from your answer to part (a) that as the size of the labor force increases, the marginal product of labor gets smaller? This is a phenomenon known as the law of diminishing returns, discussed more in the next chapter. 56. Profit An analyst has found that a company's costs and rev- enues in dollars for a product are given by x2 C and R(x) 2x 2 5000' respectively, where x is the number of items produced. (a) Find the marginal cost function. (b) Find the marginal revenue function. (c) Using the fact that profit is the difference between revenue and costs, find the marginal profit function. (d) What value of x makes the marginal profit equal O? (e) Find the profit when the marginal profit is 0. (As we shall see in the next chapter, this process is used to find marimum profit.) A wher in bi find year (a) (C) (e) nad since

答：a>1 求解 🙏🏻🙏🏻

000 . Xzo 'yzo | post/ree (2) 當,的值各為多少時,可使每趟貨車出貨所能獲得的利潤為最大? (1) 設公司調配運送時,每趟貨車裡的甲商品為x箱、乙商品為y箱, 試列出x, y必須滿足的聯立不等式, y 此時利潤為多少元? 160,40) 1200x+1000g © (or (60) Tor 1001 x+y=100 2 zx + y = 160-90 B how they 40000 71/2000 # = x=60, y = 404 180, » X at f=100 2x+y=160 y ar/ (4,8) 5 設滿足(x,y)的可行解區域如右圖, 若(1, 5) 是唯一使 at-y產生最小值的可行解, 試求a的範圍, (1, 5) 13, 1)

請問第28行的by是“被”的意思嗎？ 謝謝

20 Um the chemicals used to manufacture and dye'? clothing. This regular +影 ini > th 25 Tuled rooms, filled with toxic' fumes 於庆白,什麼過不去。 大冰作的 and lengthy exposure is believed to make employees far more vulnerable full of 同时充滿 to serious health problems, and even terminal illnesses. + AC,比幹、更hig院 院所 Humans, however, undoubtedly aren't the only ones suffering 可可/中/民, It = humans because of “fast fashion.” The Clothing industry has long been one of 疑地 术 圣 the most polluting industries in the world, responsible for almost 10% 射-自由之一 產業 of all global carbon emissions. Moreover, as the demand for fast fashion 8 ases, the com increases, the environmental pollution caused by clothing manufacturers 排。 增加 環境的污染色內 is predicted to rise by more than 60% over the next ten years. But the 十、 被 烈酒 *一段時農 damage doesn't end once the clothing has been made. Another factor is 境。 十二日,N/Vers 5 TV 30 that, in order to keep up with fashion trends, consumers nowadays are to 將 志法治 in) FEET +V +/ 了成不良重工 為了 purchasing new items more frequently than ever before, and discarding so as to the = 項目 比另類繁 功 1 fashion ['fæſən] n. [ Uldienotot [] [時尚 5. Stylish [ stall] adj. 時髦的 6, devastating ['devəs tetıy] adj. $1 比

請問這兩題的詳解 不太理解為什麼第一個是+♾

Solo stesgow isu doces bien OKS OK lim (x-2)(2x-1) Xər on x + 1Xx-1) 007 Vio Ansich levov need evt.of boonosiologs obionett Sisiw wonin (1-x2) euge lim UM 二 x 1 (x+1) (x-2) + nu los eles Ans:& Bonboni wo show give

81怎麼證明

f at (c, f(c)) is parallel to the tanger 81. Proof Prove that if f is differentiable on (-00,00) and f'(x) < 1 for all real numbers , then f has at most one fixed point. [A fixed point of a function f is a real number c such a that f(c) = c.] = DA TT of Cvornica 81 to show that