數學與統計 大學 2年以上以前 求解28題 感恩🙇 36. Sup ang 22-25 Explain, using Theorems 4, 5. 7. and 9. why the function is continuous at every number in its domain. State the domain. 2.x2 - x - 1 2 22. F(x) 23. 20) = r2 + 1 By Le (a) (b 24. h(x) = cos(1 – x?) 25. M = N DI 38. W tir 26-29 Use continuity to evaluate the limit. 26. lim x 20 – x2 27. lim sin(x + sin x) ULTET (28) lim x'tan r 11/4 29. lim x®/Vx2 + x - 2 IX 30. Show that f is continuous on (-00, ). 39. S f(x) = x2 if x < 1 x-1 if x>1 31-32 Find the numbers at which f is discontinuous. At which of these numbers is f continuous from the whı sont o LINE TERANG 1633 是 已解決 回答數: 1
數學與統計 大學 約3年以前 求微積分解答! 2. Evaluate the integral SSSE (xz – ys) dV, where E = {(x, y, z) | -1 <x< 1,0 < y = 2,0 < z=1} using three different orders of integration. 已解決 回答數: 1
數學與統計 大學 約3年以前 有人可以解釋一下箭頭畫的地方是怎麼來的嗎?我知道目標是要把1-sin^2θ換成cos^2θ 985 Double Integrals and Volume EXAMPLE 5 14.2 Volume of a Region Bounded by Two Surfaces Find the volume of the solid region bounded above by the paraboloid Paraboloid z = 1 - x2 - y2 and below by the plane z = 1- y as shown in Figure 14.20. Plane Paraboloid: z=1 - x2 - y2 Plane: z=1-y Figure 14.20 Solution Equating z-values, you can determine that the intersection of the two surfaces occurs on the right circular cylinder given by 1- y = 1 - x2 - y2 x² = y - y². So, the region R in the xy-plane is a circle, as shown in Figure 14.21. Because the volume of the solid region is the difference between the volume under the paraboloid and the volume under the plane, you have Volume = (volume under paraboloid) – (volume under plane) Wyz? (1 – x2 - y2) dx dy – (1 – y) dx dy y-y2 Wy-y² 3 y-y2 R: 0 Sys1 -dy-y2 sxs dy-y2 Figure 14.21 - TT 4 SL -SI*6 = y2 + x) dx dy 6 – ymla - Kdy – year2 dy = 990 1.0 – (23 – 1,276? dy 4 2. 2y - 1 = sin e (7/2 cos4 e de 2 -1/2 1/2 cos4 do 1 d." 311 Wallis's Formula 6 16 TT 32 已解決 回答數: 1
數學與統計 大學 約3年以前 請問這題 Find the formula of the function f(x) satisfying the following f'(x) = 0.3f(x) and f(0) = 2 ,where f(x) > 0 for each x in it's domain. fio) = 0,3 fro) - 01342 - 6. 6、b 已解決 回答數: 1
數學與統計 大學 約3年以前 想請問學霸們畫線的地方是什麼意思?(看得懂英文,不過他想表達的我就不懂啦~QQ)-大一入門微積分 Precise meaning of limit x->a For each € > 0 there is a 8 >0 such that 0 <|x - al<8 = \|(x) – Ll<ɛ 1.Prove that lim (3x – 7)= 5 x 4 Prove : Preliminary Analysis : Let ε be any positive number. We must produce a 8 >0 such that 0<fx - 4<= |(3x - 7)- 51 < digital do consider the inequality on the right |(3x – 7)-5/<ε = 3x - 12/<€ 3(x-4)<ɛ how blu 4< = |- - 131x - 4 <E (x-4 < 2 3 domen. szondo otworo Now we see how to choose 8, namely, 8 = Of course, any smaller 8 would work Toolmo Formal Proof : Let & > 0 be given. Choose 8 = . Then 0 < x - 4 <& implies 已解決 回答數: 1
數學與統計 大學 3年以上以前 第36題求詳解🙏 感謝~ 29-36 Pind the absolute maximum and absolute minlmum values 0上 /on the given interval, 29, /(z) 三3x2 一 122 5 03 300 (0 2一3二 12x二1 一2,3」 必 91, /(X 9 2二2 9 33. 7三/一2 [14 024 (0 2ZGOUZTSIT 2 0 人/2| 35, 7/(朮0 二六, 隙 4 CO 可 由 已解決 回答數: 1
數學與統計 大學 3年以上以前 請問題目一的解和題目二的思路與詳解🥺 遇到題目二這種題型是要直接代入1去算,還是用X趨近於1+和1-去想呢? 全攻 (00 =V4+37(00,where 了(0D=7 and 了(0D=4,find 及0. 已解決 回答數: 1