求解🙇 課本給的答案是(a)1.91cm/s(b)left

41 M In Fig. 28.31, a metal wire of mass m = 24.1 mg can slide with negligible friction on two horizontal parallel rails separated by distance d=2.56 cm. The track lies in a vertical uniform mag- netic field of magnitude 56.3 mT. At time t = 0, device G is con- nected to the rails, producing a constant current i = 35.0 mA in the wire and rails (even as the wire moves). At t = 61.1 ms, what are the wire's (a) speed and (b) direction of motion (left or right)? d m B FIGURE 28.31 Problem 41.

這是有機合成的題目，上課聽不太懂，求求以下三題🥲

Problems 4. Synthesis. Outline a retrosynthetic scheme for each of the following target molecules using the indicated starting material. Show (1) the analysis (including FGI, synthons, synthetic equivalents) and (2) the synthesis of each TM a. CI OMe c. Me CH₂OH d. OH O Br Br CI LOH OMe

請問37、43題怎麼證明（需要用delta和epsilon）

d ind36. Prove that lim- 1. 1 -= x-2 X 2° 37. Prove that lim√√√√a if a > 0. xa = x-a Hint: Use | √x - √a |- 1x = 4/4] = √x + √a 38. If H is the Heaviside function defined in Example 6 in Sec- tion 2.2, prove, using Definition 2, that lim,-0 H(t) does not exist. [Hint: Use an indirect proof as follows. Suppose that the limit is L. Take & in the definition of a limit and try to = arrive at a contradiction.] 39. If the function f is defined by f(x) = So if x is rational = 1 if x is irrational prove that lim x->0 f(x) does not exist. 40. By comparing Definitions 2, 3, and 4, prove Theorem 1 in Section 2.3.202 41. How close to -3 do we have to take x so that 1 > 10,000 (x+3)4 1 42. Prove, using Definition 6, that lim 80. x-3 (x+3)4 5 43. Prove that lim -80. x-1 (x + 1)³

請問要怎麼求水平/垂直漸進線？

f(x) = arctan x - 1 (1 − x²)1/3

怎麼對arcsin(c)不定積分

剛開始學隱函數，想問框起來的部分是用什麼rule呢？課程裡面是說用chain rule，但我看不太懂是怎麼寫成那樣的

Example 1: Let x² + y² = 25, , find dy == dx , dx dy and the equation of the tangent at (3, 4). Solution: 2x+2y 33 dy dx = 0 dx 2x dy |+ 2y = 0 X dy m = dx dy dx\(3,4) 3 -¾³½⇒(y−4) = −²/√(x − 3). =- 4 dx dy X

想問第一題 答案為什麼是A?藍綠菌應該是在真核藻類前面吧

臺灣綜合大學系統111學年度學士班轉學生聯合招生考試試題 I. 科目名稱 普通植物學 ※本項考試依簡章規定所有考科均「不可」使用計算機。 類組代碼 科目碼 A05 A0501 本科試題共計6頁 Choose one best answer for the following questions (3 points for each question, total 90 points) 1. Which of the following is the probable sequence in which organisms evolved? [[A] Prokaryotic bacteria → eukaryotic algae → cyanobacteria→land plants [[B] Eukaryotic bacteria → cyanobacteria → eukaryotic algae→ land plants [C] Cyanobacteria → prokaryotic bacteria → eukaryotic algae → land plants [[D] Cyanobacteria→ eukaryotic algae → prokaryotic bacteria → land plants [[E] Prokaryotic bacteria → cyanobacteria → eukaryotic algae → land plants | 2. Respiration breaks down glucose and transfers its energy to: [ [A] carbohydrate. [[B]starch. [C] water. [[D]ATP. [[E] chlorophyll. actions among organisms, which of the following term with its definition is NC

請問第25怎麼做？

Using Substitution Evaluate the integrals in Exercises 25-30 b to integration by parts. 25. 29v parts.w bonidmo od .1 eV3s+9 dsimuzzA29 26. eA. 9126. 90 S x 0 motorT [stnamebnu π/3 13 C

這題有沒有可能只用反函數就可以解出來⋯ 為啥算不出答案，ㄚ。

Assignment (part I) (page 50) *2-8. Two forces are applied at the end of a screw eye in order to remove the post. Determine the angle 0 (0° ≤ 0 ≤ 90°) and the magnitude of force F so that the resultant force acting on the post is directed vertically upward and has a magnitude of 750 N. 30° 500 N 2025/2/25 CHIANG Yu-Chou 33

求第13題的做法

ility ist e² + ez (X) bas or to heq ross,so brio 11. 13. 1 4 dx 1 + (2x + 1)² - dt - sec t .nou 1 + sin 0 15. cos² 0 de