請問這題求dy/dx的時候，為什麼不能用隱含數微分法來微？

例1 Find the area of the surface generated by revolving the curve 6xy=x+3 from | |x=1 to x=3 about the x-axis. 【100 成大】 x++3x² 解:6.xy = x + 3 > y= dv 1 1+(2)2 =₁/1+ 1+-x dx 4 所求表面積為 = 1 + 6x 6 2x 1 + 24x² 1 1 2 dy 1 -- dx 2 1 +--- 2x² x+ = 1 2x² 1 ·x² +· 2 2x²

不知道怎麼用顯著性水平來進行檢驗

1. A sample of 100 students in a high school have a sample mean score of 505 on the English portion of the SATs. If the sample standard deviation is 110, test the hypothesis that the high school's mean SAT score is 480 against the alternative hypothesis that the school's mean SAT score is greater than 480, at the 0.05 level of significance.

請問大一統計學這兩題有人看得懂嗎🥲

2. To study the attitude of mother and father towards their daughter participating in the outdoor games, a sample of 200 fathers and 250 mothers was investigated. In these two samples, 120 fathers and 50 mothers preferred their daughter to go for outdoor activities. Can it be concluded at a=0.01 level of significance that the proportion of father is significantly higher than that of mother in preferring their daughters for outdoor activities? 3. A firm has a generous but rather complicated policy concerning end-of-year bonuses for its lower-level managerial personnel. The policy's key factor is a subjective judgment of "contribution to corporate goals." A personnel officer took samples of 24 female and 36 male managers to see whether there was any difference in bonuses, expressed as a percentage of yearly salary. The data are listed here: Gender Bonus Percentage Female 9.2, 7.7, 11.9, 6.2, 9.0, 8.4, 6.9, 7.6, 7.4, 8.0, 9.9, 6.7, 8.4, 9.3, 9.1, 8.7, 9.2, 9.1, 8.4, 9.6, 7.7, 9.0, 9.0, 8.4 10.4, 8.9, 11.7, 12.0, 8.7, 9.4, 9.8, 9.0, 9.2, 9.7, 9.1, 8.8, 7.9, 9.9, 10.0, 10.1, 9.0, 11.4, 8.7, 9.6, 9.2, 9.7, 8.9, 9.2, 9.4, 9.7, 8.9, 9.3, 10.4, 11.9, 9.0, 12.0, 9.6, 9.2, 9.9, 9.0 (1) Is there significant evidence that the mean bonus percentage for males is larger than the mean bonus percentage for females? Use a a=0.05. (2) Estimate the difference in the mean bonus percentages for males and females using a 95% confidence interval. Male

想問這題解法，謝謝🙏

In Exercises 17–20, find the volume of the solid generated by revolv- ing the shaded region about the given axis. 19. About the y-axis 1 y x = tan (7) X

求解

2. 求 2x 1+c2 sy' + 2 1+290 的通解(general solution) 1 其中已知Y = " 為 該微分方程式的一個解。

請問有人可以幫我解這三題嗎

2. The financial statements in the year 2021 and 2022, for Kosinski AG contains the following condensed information. December 31 2022 2021 Property, plant&equipment €236,500 €150,000 Accumulated depreciation (37,700) (25,000) Long-term investments 0 15.000 Inventory 35,000 42,000 Accounts receivable (net) 43,300 20,300 Cash 30.900 10,200 €303,000 €212,500 Share capital-ordinary €130,000 € 90,000 Retained earnings 70,000 29,000 Long-term notes payable 70,000 50,000 Accounts payable 21,000 17,000 Accrued liabilities 17.000 26,500 €308,000 €212,500 Additional information for 2022 is: 1. Income before income taxes for the year 2022, €98,800. 2. Depreciation on plant assets for the year, €12,700. 3. Sold the long-term investments for €28,000. 4. Paid dividends of €35,000. 5. Purchased machinery costing €26,500, paid cash. 6. Purchased machinery and gave a €60,000 long-term note payable. 7. Paid a €40,000 long-term note payable by issuing ordinary shares. Paid income taxes of €22,800 for 2022. 8. Instructions: 1. Cash generated from operations = € 2. Net cash provided by operating activities = € 3. Net cash provided by investing activities = € 4. Net increase (decrease) in cash = € @ 5. Free Cash Flow = € @ 填空题 (25 分) 159 (請依照醫目中的填空位置依次填寫答案) Ⓒ29,000 54,200 1,500 20,700 -89400

想知道有沒有參考答案 因為列印的是沒有答案的版本🥲🥲

1. Let T be the triangle with vertices (0, 0), (1, 0), and (0, 1). Find Sfe*dA= 2. Let A= 2 e- dt. Find C= _such that 50'e-di, B = dt[" Liber e-ve dydx = A - -B+C. -T 3. Find the maximum value of the function T(1,y) = x - 2y2 – on the region A = {(,y)|x2 + y2 <1}. (x² – 42+6 4. Let f(x) = if I is rational, the 202 – 6x2 + 12x – 6 if & is irrational _such that f'(20) exists. Let g be a differentiable real-valued function satisfied 9 Find Jo = (* oe) dt ) )+m7-2+ *300 P ( e) dt gt sin + cos z = 0 + exp for all 2 near 0. Find g'(0) - Two holes of radius 6 are drilled through the center of a sphere of radius 10. Assume that their axes meet at right angles. Find the volume of the solid remaining 7. I F(x) = [ 560 dt, where f(1) = 1 * vi er du, find F"(2) = 1 u 乙、計算題:每題15分,須詳細寫出演算過程,否則不予計分。 1. Show that the function defined by e if < 70, f(x)= if x = 0. 0 is not equal to its Maclaurin series. X 正致 2. Let a and b be positive numbers with a > b. Let aj be their arithmetic a + 6 mean and b, their geometics mean: a1 = 5,62 = Vab. Repeat this 2 process so that, in general, an+1 = On+1 = Vamor for n 2 1. 2 Show that both {am) and {br} are convergent and lim An = lim bn. ant bn 100 700

統計學 機率和常態分配 可以幫幫我嗎😭

o 3. 根據 TD Ameritrade 的調查指出,每4名投資人中有1名的投資組合中有 指數股票型基金(USA Today, January 11, 2007)。考慮由 20 名投資人組成 的樣本。 a. 恰有4名投資人的投資組合中有指數股票型基金的機率是多少? b. 至少有2名投資人的投資組合中有指數股票型基金的機率是多少? C. 如果你發現恰有 12 名投資人的投資組合中有指數股票型基金,你應該 對調查結果存疑嗎? d. 計算投資組合中有指數股票型基金的投資人數目的期望值。 4. NCAA估計公立大學的全額體育獎學金是每年$19,000(The Wall Street Journal, March 12, 2012)。假定獎學金額度是常態分配,標準差為$2100。 a. 獎學金額度最少的10%的學生,可以領到多少獎學金? b. 領取獎學金超過$22,000或以上的有多少百分比? C. 獎學金額度最多的3%的學生,可以領到多少獎學金? 」 托业。 耶玩完,加里近4小時,而且平均等碼是50,莊家

大一公衛系微積分，求第二題解

公衛系 微積分期末考 (28/12/2018) 1. Use the Laplace transform to solve the differential equations. (1) j(t)+2y(t) = x(t), y(0)=1, x(t)=10, t20 (20) (2) Intravenous glucose is a treatment. Disposed at a fixed rate k grams per minute inputs into the blood, while blood glucose will be converted to other substances or moved to another place, at a rate proportional to the amount of glucose in the blood, the proportionality constant is a (a> 0), the initial amount of glucose in the blood is M. A. Find the variation in the amount of glucose in the blood (15) B. Determining the equilibrium, the amount of glucose in the blood. (5) = 2. SI Epidemic Model : The size of the population, n+1, remains fixed. Let i(t) be the number of infectives at time t, and let s(t) be the number of individuals who are susceptible. Given an initial number of infectives iO), we would like to know what will happen to i(t). SI Epidemic Model is described by the differential equation. di(t) = k·i(t).s(t) ......(5.1) dt i(t)+s(t)=n+1 i(0)=i, (1) Solve this differential equation of the SI Epidemic Model (5.1). (10 h) (2) What is the peak times t of the epidemic spread? (10) 3. Consider the Two-compartment physiological models and is shown in figure 1. C1 (t) represent the drug concentration in the first compartment and C2 (t) represents the drug concentration in the second compartment. Vi and V2 represent the compartment volume. Use the first order linear differential equation general solution to solve the C1 (t) (20 ) and use the Laplace transform to solve C2 (t). 【20 分). | 世」!()

89題 謝謝

18 = volume increasing at this is 39. Bone mass In Example 1.1.6 we found an expression for the mass m of a human femur of length L in terms of the outer radius r, the inner radius rin, and their ratio k = lin/r. More generally, if the bone density is p, measured in g/cm°, then bone mass is given by the equation trạL[p - (0 - 1)k?] - - m = It may happen that both p and k change with age, t. P (a) If p changes during aging, find an expression for the rate of change of m with respect to t. (b) If k changes during aging, find an expression for the rate of change of m with respect to t.