求這題～～～

9. Let f(x): = 1 , f(0) = 0 7 dx fixty) = ax (tex) +Pay) +zry) = f(x+y) dx dx for x > 0. Show that the area of the triangle, which is X bounded by any tangent line to the curve of f and the two coordinates + axes, is of 2 square units. f(0) = 0 {x

The transactions carried out by Blue Waters Corporation during the year caused an increase in total assets of $25,650 and a decrease in t... 繼續閱讀

求問這題的c小題

4. A solid mixture of Na2SO4 and K2SO4. A 0.205 g of sample of the mixture is dissolved in water. A excess of an aqueous solution of BaC12 is added. The BaSO4 is formed is 0.289 g. a. What mass of SO4-2 ion is in the sample? b. What is the mass percent of SO4-2 ion in the sample? c. What are the percent compositions by mass of Na2SO4 and K2SO4 the sample? a. 0.123 g of SO4-2 ion b. 60% of SO4-2 ion c. the mixture is 61% K2SO4 and 39% Na2SO4

大一普化求救ಥ⁠_⁠ಥ

3.49 x 10-7 m h²h² 5-h E = 8m²z 8mL² 2 Q: What is the total probability of finding a particle in a one-dimensional box in level n = 4 between x= 1/4L and x = 5/8 L he K

答案如圖

9.47 A frictionless pulley has the shape of a uniform solid disk of mass 2.90 kg and radius 10.0 cm. A 1.60 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Fig. E9.47), and the system is released from rest. (a) How far must the stone fall so that the pulley has 3.30 J of kinetic energy? (b) What percent of the total kinetic energy does the pulley have? 01442m 47.6% Figure E9.47 T M mg 10 A 116 1.50 kg stone 2.9 2.50 kg pulley

答案如圖

9.47 A frictionless pulley has the shape of a uniform solid disk of mass 2.90 kg and radius 10.0 cm. A 1.60 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Fig. E9.47), and the system is released from rest. (a) How far must the stone fall so that the pulley has 3.30 J of kinetic energy? (b) What percent of the total kinetic energy does the pulley have? 01442m 47.6% Figure E9.47 T M mg 10 A 116 1.50 kg stone 2.9 2.50 kg pulley

求解找極限函數值或者為什麼不存在，還有想問x->-3右上的正號與x->-3有甚麼區別？還有b連題目都不太了解要求什麼,c的話有哪些不是連續的？求求各位大神了🙏

20. The graph of f is given. (a) Find each limit, or explain why it does not exist. (i)_lim_ƒ(x) x−2+ (ii) lim_ f(x) x--3+ (iii) lim f(x) x--3 (iv) lim f(x) X→4 (v) lim f(x) x->0 0 (vi) lim f(x) x→2- (b) State the equations of the vertical asymptotes. (c) At what numbers is f discontinuous? Explain.

（大一微積分） 請問這題這樣寫正確嗎？背流程寫的😅，圖一為需用到的定義 正確的話，想問紅色圈圈的1是怎麼來的？

DEFINITION Let f be a function defined on some open interval that con- tains the number a, except possibly at a itself. Then we say that the limit of f(x) as x approaches a is L, and we write lim f(x) = L x→a if for every number &> 0 there is a corresponding number 8 >0 such that | ƒ(x) − L| < ɛ if 0 < x-a <8 then

請問紅色圈起來的地方是為什麼？ 謝謝🙏

7−(−2+h)— √7−(−2) h −1 −1 √9-h+3 V9+3 My Ax As h→0. = 9-h-3 h 6 = 9-h-3√9-h+3 (9-h)-9 -1 = √9+h+3h(√√9+h+3)¯¯ √√9+h+3² Th ⇒ at P(-2,3) the slope is =

想問第42題

25. lim 8118 27. lim X18 A 29. lim 31. lim 33. lim √x - √√x x→→∞ √√√x + √√x 35. lim 2x²/3 - x1/3 + 7 xxx x8/5 + 3x + √x 37. lim x→∞ x + 1 39. lim x - 3 x→∞ √4x² + 25 1 x→0+ 3x 1-x² 2√x + x¹ 3x - 7 41. lim 1. 2 X-2 X- 43. lim √x² + 1 45. a. lim 3 2x x-8+ x + 8 + 7x 4 x→7 (x-7)² 2 2 46. a. lim x-0+ x1/5 4 2 x-0+ 3x¹/3 B Infinite Limits Find the limits in Exercises 37-48. Write ∞ or -∞ where appropriate. 5 x →0-2x x - 3x 26. lim√√³+x-2 b. lim 2 + √x x→∞ 2 - √x 28. lim 30. lim x¹ + x4 x-xxx-²-x-3 32. lim Vì - 5x + 3 x-∞ 2x + x2/3 - 4 34. lim 36. lim 2 x→0 3x¹/3 xxx +1 2 b. lim x→0 x1/5 4 - 3x3 x-∞ √6 +9 38. lim 40. lim √x² + 1 42. lim x-3x - 3 3x x-5-2x + 10 44. lim -1 x→0 x²(x + 1) 19 lime 1