請問有更快的解法嗎🙏🏻

76 單元9 二維數據分析 3.某次體操比賽,X、Y、Z三位評審對 五位選手的表現評分如右表,則試比較 X 67 X、Y評分的相關係數與X、Z 評分 的相關係數的大小為 Y 701 Z 7 6 選手1 選手2 選手3 選手4 選手5 手89 4 |手896 5. 7 8 Y₁ >Y "Mx = 2== 1-(3), 2.0-(a) 0(0) 2.0 (8) 1(A) 582= 49+6+49+64+365x1156 7255 425 1740 496 6200 212 725 1560 424 5 My = 37 5 Mz=34 5 S0x= 36+6++36+16+64-5x 1024 = 16-124 sb = 5 255 =234- 1156 5 Sxz = 42+48+424-32448-1588x5 212-1088 -28 5 5300 544 = 49+ 5+ 49+ 25 +81-54 176974 = 285- 56 5 1369 5 £55 Say= 42+ 72+42+0+72-1184x5 =248-1184 56 5 VAY 5 *55 58,782 4.散布圖中有五個樣本點:A(2,1)、B(3,8)、C(5,2)、D(5,4)、E(10,5),則去掉哪一點

求解這兩題🙏🏻

【例13】 設 x ∈R,試解方程式 [3x]+2[x]-5=0. 5 # 07;5<3x<6.35 <x<2 10<x<1 (3x)+2(x) = 5 2 3 5353x24 3 44 5 > 457x<5 183252 Sol11 【例14】設x∈R,試解方程式x²-x-[x]=0 n (3-2-1 €2 2 x= x < x < x = x+1. 54= x² = 2x50 Ly = x² = 2 x +1 70 LY 練習 23<3 0<X<\ or \<x<? 470 。 2 4<0 (x)=0. f of 470 x=00X (10) <0 @ 1= x²-x x²-x-1=C 21X-2 [2]=22 Salz: floor function 12~3 1.設x∈Z且滿足x=4,則滿足條件的x共有幾個?

求這三題的過程 謝謝！

L000 In exercises 37-39, determine values of a and b that make the given function continuous. zeros at f(x) #C Some nu Theorer 2 sin x if x < 0 unction continu- X nction should be 37. f(x)= a if x=0 bcosx if x>0 52. For fo Does t

請問這題謝謝！（附答案）

SO HEL Example 3 Find y' if sin(x + y) = y² cos x. Solution : Differentiating implicitly with respect to x and remembering that y is a function of x, we get y' 日日 cos(x + y) (1 + y) = y²(- sin x) + (cos x) (2yy') (Note that we have used the Chain Rule on the left side and the Product Rule and Chain Rule on the right side.) If we collect the terms that involve y', we get cos(x + y) + y² sin x = (2y cos x)y' - cos(x + y) · y' y² sin x + cos(x + y) 2y cos x cos(x + y) - < 清除

這題~謝謝 請問x=1時極限是不存在還是無限大還是...？

4. 1 y YA r BAUDIA X

23🙏

limit is L. Take ε = arrive at a contradiction.] 23. If the function f is defined by prove that limx→o f(x) does not exist. 24. By comparing Definitions 2, 3, and 4, prove T lim f(x) = L____if and only if lim_f(x) = x→a N 25. How close to -3 do we have to take x so that 1 10,000 (x + 3)4 27. Prove that lim 26. Prove, using Definition 6, that lim F11 000 f(x) = = J 3 金 26 F12 28. Suppose that limx→a f(x) = ∞ and limx→a g(x) c is a real number. Prove each statement. 届 (a) lim [f(x) + g(x)] = ∞ x-a - 儿 鄉 in the definition of a l 5 x→−1− (x + 1)³ (1) 0 if x is rational if x is irrational Insert + 11 = PrtSc 77% 33 x-a- x→-3 (x + 3)4 -00元 Delete Backspace 28°C Fn Q Home Num Lock End

突然忘光怎麼畫... （1）我知道是水平伸縮1/2 但如何畫 謝謝

3. The graph of f is given. Use it to graph the following functions. (a) y = f(2x) (c) y = f(-x) YA 1 0 1 (b) y = f(x) (d) y = -f(-x) Xx

請問要怎麼找定義域

5-6 Find the domain of the function. 5. f(x) = COS X 1 - sin x 6. g(x) = www.comm 1 1 tan x

第六題 第二個問題怎麼解

6. Let f(x) = ln(3 – In x). Find the domain of f = (0, ey) and its inverse function f-1(x) = e(3-e“). logg C dx 1 7. Evaluate 1. O

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