請問這題積分可以用ln 解嗎 但答案好像會不一樣（正確是拍/2）～～謝謝🙏

X e tex dx Item fe Definition of improper integrals EXAMPLE 4 Infinite Upper Evaluate ∞ ex 1 + e²x ell dx. 25.8 14 Solution Note that the integrand is

普物下電學 想請問一下這兩題怎麼寫 沒有很懂題目在表達什麼 謝謝！

< EUR)- 2:30 10 4 Awes R 一個點電荷Q帶有多少電位能?要回答這個問題,我們可以先算出均勻帶電球(Example 22.9)的總 電位能,再將球半徑 R 趨近於零。 (a) 計算均勻帶電球的總電位能。 (b)推論一個點電荷Q帶有多少電位能- E- Or Amepl 91 90 HW5 P 47 3 附錄: (a)小題的兩種算法算法,可任選一方法計算- -R³ - Spherical insulator -Gassian surface Method 1. 假設一開始沒電荷,一次搬 dQ 的電量, 從無窮遠移過來,類似下圖四顆點電荷的例子, U=U₁+U₂+U₂ ~~ dU =Vdq = Method 2. dq=p4nr²dr = 10 4me7 47 Q₁.³ q(r)=p² -7.3 3 R³ q(r) Q-² V(r)= Amer 4eR = 假設電荷是一圈一圈的從無窮遠處移過來,列式如下, Q 30-² R³ dr = Q₁² 30₁.² 4лε R³ R³ 基本資訊 4 1 9091 +9092 +9093 +9192 +9193 +9293 Pol 102 103 112 113 123 1 -Σ² 4ME。 4.80 ky Py Ty ·dr =... (9.9元 II 4G 196 假設一開始電荷已經就位,計算所有電荷的電位能再除2,類似下圖四顆點電荷的例子, U = = Σ9V₁ 1-0 1 -9 寫作業

請問這裡的future是什麼意思？

An example of this took place in 1959, when the construction of the Aswan High Dam endangered the future of Egypt's precious Abu Simbel temples. 1959年有個案例,興建亞斯文水壩使得埃及 寶貴的阿布辛貝神殿岌岌可危。

想請問這題🙏，有點看不懂圖三的公式是從何而來，卡住了

EXAMPLE 21.11 FIELD OF A UNIFORMLY CHARGED DISK A nonconducting disk of radius R has a uniform positive surface charge density o. Find the electric field at a point along the axis of the disk a distance x from its center. Assume that x is positive. SOLUTION IDENTIFY and SET UP: Figure 21.25 shows the situation. We rep- resent the charge distribution as a collection of concentric rings of charge dQ. In Example 21.9 we obtained Eq. (21.8) for the field on the axis of a single uniformly charged ring, so all we need do here is integrate the contributions of our rings. EXECUTE: A typical ring has charge dQ, inner radius r, and outer radius r + dr. Its area is approximately equal to its width dr times its circumference 2πr, or dA = 2πr dr. The charge per unit area is σ = dQ/dA, so the charge of the ring is do = o da = 2πor dr. We use dQ in place of Q in Eq. (21.8), the expression for the field due to a ring that we found in Example 21.9, and replace the ring 21.25 Our sketch for this problem. Idr dQ X P dEx dEx radius a with r. Then the field component dEx at point P due to this ring is 1 2πσrx dr 4π€0 (x² + ²)3/2 SOLUTION Continued

求解

三填(10題,每題2 分,共 20 分,答錯無倒扣) 21 for these, though. Why are we so different? Some people hate the feeling of being afraid and avoid situations like visiting ghost houses, watching scary movies, and telling ghost stories around the campfire. Others have a Researchers have found the answer lies in how the chemicals in our brain work. When we are afraid, our bodies can make fight-or-flight response, a reaction that helps us to decide whether to fight or escape. In these situations, our brains combination of hormones. Interestingly, the way our bodies respond to these_20determines whether we get to the movie theater to see a horror film or not. 22 a a have Psychologists say that people who 24 themselves in scary situations need to make sure that they are in a safe environment. For example, people who visit ghost houses have the _25 that they are going to be scared. They may 26 fear when Godzilla or Count Dracula starts chasing them. However, they know the _27aren't real, so they can enjoy the high feeling associated with the fight-or-flight response. Some people also feel a sense of confidence after they live through a 28 situation, even if they know it is false. How about you? When a scary 29__ turns up, will you escape or enjoy the fear? No matter which one you choose, there is no doubt that no one wants to face the $30. (A) horrible (C) release in real life. It's natural that everyone will escape from real danger. (D) tragedy (B) place (AC) expectation (AD) monsters (E) passion (BC) creature (AB) sudden (AE) chemicals

為什麼第7題不選D選A，求解？？

2676 1st: 43 The scientists decided to light fires that would burn off the gas, figuring that it would only be a few weeks 4. the gas was all gone. They evidently made a miscalculation, as the fires have been burning constantly for over 40 years. In 2010, the president of Turkmenistan VR recommended that the Stater* (should) Ver 5. filled in to limit the amount of gas that is burned. However, no action has yet been taken. Thus, the Door to Hell remains firmly open, drawing tourists from all over the world to gaze into its fiery depths. 事 3. to those who live nearby. 1. Adultimately (B) respectively 2.(A) coming down ( (B) blending in 倒塌 (A) menace FATA 4. (A) until 5 A) was 3 fa (C) approximately (C) giving in 威育恐嚇 (B) hypocrisy 飾 (C)facility 設施) (B) when (C) before to be (B) be Partid 199 a 201 (D) constantly (D) going out Right (D) legacy 產 Dif (D) had been While scientists are 6. to find ways of improving plants, medicine, and human beings, many arguments are being 7. . Some arguments may be personal, social, or economic but more likely, they tend to be moral. And it is believed that genetic engineering will keep on mmm. 工程学 changing us throughout this century. 8. genetic In general, people question the whole use of genetic engineering. engineering will improve the way we grow food and care for our environment, people still question genetic engineering. What may be questioned is how companies may 9. their 2023/01/03 19:55 use. and h how is, c que exp sce in te re C

化學 PH值計算（多質子酸解離） 請問這題錯在哪裡呢😭

0.3M Na2HPO4 Example #1: Determine the pH of 0.300 M sodium hydrogen phosphate, Na₂HPO4. Phosphoric acid, H3PO4, contains K₁₁ = 7.5 x 10-3, K₂ = 6.2 x 10-8 and K₁3 = 4.2 x 10-13. al a2 a3 x² 0.2x=4.2X10-13 x² = 1.26×10-¹3/- 0.₁126×10/2 x = 0.355x100 HP04² = H30t+ P04² 0.3 0.3-X +x +X X X 3- 04-beg[+0]- (6.459.78 PH= Simp -6

求題目的過程與解答，問題四延續問題三，謝謝

Problem 3 Creating a 0.1 Normal Solution Suppose you must determine the amount of hydrogen halides (HCI, HBr and HF) in the flue gas leaving a chemical reactor. The emission sampling train for hydrogen halide determination calls for a total of 200 mL of 0.1 N H₂SO4 as an absorbing solution. The absorbing solution will be located on the impingers of the sampling train. How many grams of H₂SO4 should be added to water to create 200 mL of a 0.1 N H₂SO4 solution? > The chemical reaction of H₂O and H₂SO4 is as follows: H₂SO4+H₂O 2H++SO₁²+H₂O 4 > Approximate atomic weights of elements: H=1, S=32, O=16

想要問一下空格9 (A)eager to (B)tend to (C)prone to (D)apt to 答案是B 想問C,D感覺文意也可以ㄚ🤔️

Frost's most famous poem "The Road Not Taken" is a 8 example of this. In this poem, a traveler, needing to choose which route to take in the woods, was in (dilemma) The inner The inner conflict makes choosing a road in the countryside a symbol of making a decision in life. When(in distress) we 9 look back on the moments when

第二十五題求救 我現在只能把它微分一次

g(x) = x 1+= X if x < 0 Show that f'(x) = g(x) for all x in their domains. Can we conclude from Corollary 7 that f g is constant? 25. Use the method of Example 6 to prove the identity. 2 sin ¹x = cos (1 - 2x²), x ≥ 0 26. At 2:00 PM a car's speedometer reads 50 km/h. At 2:10 PM it reads 65 km/h. Show that at some time between 2:00 and 2:10 the acceleration is exactly 90 km/h². → hour) 27. Two runners start a race at the same time and finish in a tie. Prove that at some time during the race they have the same speed [Hint: Consider f(t) = alt). h(t) ord