求解21,22,38🙇 section1.3不用理他 equation 2.1.5是微分的定義式

(d) Use the definition of derivative to prove that your guess in part (c) is correct. 14-21 Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. 14. f(x) = 3x - 8 15) f(x) = mx + b 16. f(x) - 4 + 8x - 5x? (17) f(x) = x - 3x + 5 18. f(x) - x + V g(x) - 19- x? - 1 20. f(x) 21s(x) x2 2.x - 3 (hours) arger. The graph hat the battery purs). (r)? graph - a 22.) a) Sketch the graph of f(x) - V6 - x by starting with the graph of y # and using the transformations of Section 1.3. (b) Use the graph from part (a) to sketch the graph of f! (c) Use the definition of a derivative to find f'(x). What are the domains of f and f'? (d) Use a graphing device to graph f' and compare with your sketch in part (b). lo-TE 23. (a) If f(x) = x + 1/x, find f'(x). (b) Check to see that your answer to part (a) is reasonable by JE comparing the graphs of f and f'. 1 (hours) shows how 24. The table given tho hai

我想請問b計算標準差 ，我是用計算機算出來答案的，但老師要求要寫算式，這樣算式要怎麼寫

o 26. 無鉛汽油價格 Oil Price Information Service 由全美90,000家以上的加油站蒐集到無 鉛汽油的平均價格為每公升$0.87 (MSN Auto website)。以下是蒐集位於舊金山的 La $( 加油站的 20 筆資料。 0.95 0.95 1.27 0.94 0.94 0.98 0.96 0.95 0.99 0.94 0.94 0.95 0.94 1.05 1.10 0.97 0.96 0.99 0.95 0.94 0 a. 以樣本資料估計舊金山的無鉛汽油的平均價格。 b. 計算樣本標準差。 C. 比較樣本的平均油價與全國平均油價,對於舊金山的生活花費,你得到什麼結 論?

請問e小題怎麼算，謝謝🙏

a POPULATION GROWTH It is estimated that 1 years from now, the population of a certain 6 suburban community will be P(1) = 20 - t + 1 thousand inst . a. Derive a formula for the rate at which the population will be changing with respect to time t years from now. b. At what rate will the population be growing 1 year from now? c. By how much will the population actually increase during the second year? d. At what rate will the population be growing 9 years from now? e. What will happen to the rate of population growth in the long run?

如圖，請問如果要以夾擠定理來證明的話該怎麼寫呢？

gy San no Star DOD20 382 Sup enlige shibariyle but abors longes soup os o lorani na pro lim Inn 0 0 nics no lounge icogen 19an steg om 1993 Steq 02 moldove go Go Bobo Bool Olloni in y sinisisite nos slowed 29 odedes sollten = 0 TO

請問35、36怎麼解，希望有算式✍🏻，感謝！

b. What is the rate of change of the total cost when the level of production is ten surfboards a day? 35. EFFECT OF ADVERTISING ON PROFIT The quarterly profit (in thousands of dollars) of Cunningham Realty is given by x in = 3.5, 3. alt of P(x) = -*** + 7x + 30 = -ered en by time = - vhen 1 P( -x2 + (0 < x < 50) 3 bos where x (in thousands of dollars) is the amount of money Cunningham spends on advertising per quarter. a. Find P'(x). b. What is the rate of change of Cunningham's quarterly profit if the amount it spends on advertising is $10,000/quarter (x = 10) and $30,000/quarter (x = 30)? 36. DEMAND FOR TENTS The demand function for Sportsman 5 X 7 tents is given by p = f(x) = -0.1x2 – x + 40 where p is measured in dollars and x is measured in units of a thousand. a. Find the average rate of change in the unit price of a tent if the quantity demanded is between 5000 and 5050 tents; between 5000 and 5010 tents. b. What is the rate of change of the unit price if the quan- tity demanded is 5000? t (b). = own at its 2. time s the

想請問這題如何解（統計學，計量經濟學）

已 - 1 - - - 2. 令 y = 2. KWW-3.educ,則T =? var(x)=? 進行假設檢定IH-、=30,檢定統計量to=? - - X Simple Statistics: mean IQ KWW 101. 28235 35. 74439 educ 13. 46845 n=935 expert 11.563648 I .........18.1.17...1..16. IQ KWW educ exper IQ 226. 5819 47.5476 17. 0517 -14.8103 Covariance Matrix KWW educ expert 47.5476 17.0517 -14.81034 58. 3511 6.5128 0.5832 6. 5128 4. 8253 -4. 3778 - 0.5832 -4. 3778 19. 1370

求解21,22,38🙇 section1.3不用理他 equation 2.1.5是微分的定義式

(d) Use the definition of derivative to prove that your guess in part (c) is correct. 14-21 Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. 14. f(x) = 3x - 8 15) f(x) = mx + b 16. f(x) - 4 + 8x - 5x? (17) f(x) = x - 3x + 5 18. f(x) - x + V g(x) - 19- x? - 1 20. f(x) 21s(x) x2 2.x - 3 (hours) arger. The graph hat the battery purs). (r)? graph - a 22.) a) Sketch the graph of f(x) - V6 - x by starting with the graph of y # and using the transformations of Section 1.3. (b) Use the graph from part (a) to sketch the graph of f! (c) Use the definition of a derivative to find f'(x). What are the domains of f and f'? (d) Use a graphing device to graph f' and compare with your sketch in part (b). lo-TE 23. (a) If f(x) = x + 1/x, find f'(x). (b) Check to see that your answer to part (a) is reasonable by JE comparing the graphs of f and f'. 1 (hours) shows how 24. The table given tho hai

第(d)&(e)小題 這兩題算完還是好不確定 我有漏掉什麼東西嗎( ･ᴗ･̥̥̥ )

dx2 (d) (3%)假設? + Cy-z=1,求體在(x,y)=(1,1)之值。 (e) (3%) + f(x) = xVx2 +3 1 g(x) Á f(x) 6% e košt ## g'(-2) I - 0

可以幫忙看答案是否有誤嗎？謝謝

u. WUP 3. Tablet PCs: Cost, CPU, and Operating System. Refer to Table 1.6. ratio a. What is the average cost for the tablets? 587.9 b. Compare the average cost of tablets with a Windows operating system to the (負銀系) average cost of tablets with an Android operating system. Windows : 133.2, Android: 438.5 c. What percentage of tablets use a CPU manufactured by TI OMAP? 70% d. What percentage of tablets use an Android operating system? 40%

請問a、b怎麼做 謝謝

(a) If g is a twice differentiable function and f(x) = xg(x?), find f" in terms of g, g', and g". () = If F(x) = f(xf(xf(x))), where f(1) = 2, f (2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6, find F'(1).