想問這題要怎麼算🙇‍♀️

37. Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev's theorem to determine the percentage of the data within each of the ranges which follow. LO 5 a. 20 to 40 b. 15 to 45 c. 22 to 38 d. 18 to 42 e. 12 to 48

救救我要怎麼求證 大大感謝

1. it is · (f(x)g(n))²= f'(x)g(n) + fox gix fix) 2. uit 1 3 VEDA (for) ]' f'(x) g(x)-fix) g(x) g(x) g(x)

請問這個怎麼證明🙏🏻 謝謝

1.試證: lin 000 sino D = 2. { [sin(x)] = cos(x) : Hirt & Aist

想請問這兩題微積分怎麼解🙏🙏

113年度作業一 隱函數 1. Find the tangent line of the curve (Implicit Differentiation) sin(xy2) + x²+x+1 = 2y2 at y" (2,-1.99883) 2. Given f(x) = = d (Hint: In(u) = dx x² (1-x)³ sec-1(1+x) 1 du u dx , d dx , find f" (2). sec-1 (u) 1 du = |u|√u²-1 dx , |u|> 1 )

不知道怎麼畫 教教我吧 謝謝🙏

8. Sketch the graph of a function y = f(x) that satisfies the following con- ver: ditions: f(0) = 0, lim f(x) = 0, lim f(x) = lim f(x) = ∞ xx x-1- x-1+ lim f(x) = lim f(x) = =-〇〇 x-1+ x-1-

感覺這題要用反函數

Finding Values In Exercises 28-30, find f-1(a) for the function f and real number a. Function 30. f(x) = x³ - Real Number 4 x > 0 a = 6 X

請問綠色框起來的是什麼意思

example.o A,B: sets, |A|-|B|=n<∞ A function f : A → B is one to one Proof (F) Suppose 39, #az & fears = fiaz) : 充分必要 if and only if it is onto. 7-1-4 3 | { bib = fca, for a EA & 979, 192}|≤n-2 =|f(A)| = h-1 < |B| 7 f is not onto Proof

這題的解答給的是C, 該怎麼求出，感謝！

6. Find the volume of the solid whose region is the intersection of the cube {(x, y, z) : |x| ≤ 1, |y| ≤ 1, || ≤ 1} and the ball {(x, y, z) = x² + y²+ z² < 2}. 16 (A) 32(√2-1). (B) (8-√2). 3 16 (C) (10- √2)TT. (D) √√2π. 3 32 3

想請問例題1.2及類題，這種題型每次都是化簡到最後一步帶數字算錯，不知道數字怎麼帶

說例9 求(1) lim Vx²+x+1-x -x) = = ? (2) lim (√x² +1-x) = ? x- X100 基本題 [解]此二題皆屬於 ∞-∞,不可直接相減哦!設法化為「分式」 (√x+x+1-x) -x)(√x x)(122+x+ (1)原式= lim X-700 = 1 1+1 2 (2)原式 = lim X900 = 答 原式= lim x →∞ = [x²+x+1+x lim X→∞ [x²+x+1+x ++! 146-56 (√x² +1 − x)(√x ² + 1 + x) - * +D= ** √x² +1+x x->0<x²+1+x 思考:若憑直覺,會以為 ∞-∞=0,這當然不一定是對的! * * XAL), 類求 lim x²+3x-1-vx²-3x-1)=? X→00 = lim 6x x² +3x-1+vx². = lim___x+1 X→○ x² +x+1+x 2 - 3x-1 1+1 pmit=273 (√x2+3x-1=√x2-3x-1)(x2+3x-1+√x2-3x-1 ↓x2+3x-1+~x²-3x-1 0 =3 ° + 2 :30+5+12-

統計學 二項分配求解

Bin 三. (15%)假設在一個地點抽樣調查結果發現某時段會出現的車輛數為二項分配 (Binomial Distribution),此項調查結果的數值資料如下表,請計算求得某時 段出現6部車的機率 P(6) ? 車數/時段 4 5 8 調查到的 10 次數 frequency 7 8 8 7 9 7