第46題 一直不是很確定😅🥺🥺

54. Differentiability and Continuity on an Interval Each figure in Exercises 43–48 shows the graph of a function over a closed interval D. At what domain points does the function appear to be a. differentiable? b. continuous but not differentiable? c. neither continuous nor differentiable? 55 5 Give reasons for your answers. 44. y 43. y = f(x) y D: -3 = x < 2 2t y = f(x) D: -2 < x < 3 2. 1 1H -3 X X -3 -2 -1 0 1 2 -2 -1 - 1 2 3 10 -1 -1 - 27 -27 45. (46. y y y = f(x) D: -3 < x < 3 y = f(x) D: -2<x<3 3 RE w 1 -3-2-10 -1 X -2日 2 1 2 2 -2 -1 01 1 3

求解法 謝謝 （普通物理）

1. Consider a particle moving with the acceleration vs. time graph as in Fig. 1. a, and to are constants with unit in m/s2 and s. Assume the particle is at rest and at origin (L) at t = 0. (a) Find the velocity v(t) for each interval (i.e. 0<t< to, to <t< 2to, 2t, <t (b) Find the displacement x(t) of the particle for each interval. (c) What are the velocity and displacement of the particle at t = 3t0? Fig. 1 an 2ao w ao to to 8:03 来搜寻 co 33°C D

e.f.g這三題不知道要如何解釋，請各位大神幫忙解題謝謝

1-8. Consider two inertial reference frames. When an observer in each frame measures the following quantities, which measurements made by the two observers must yield the same re- sults? Explain your reason for each answer. (a) The distance between two events (6) The value of the mass of a proton (c) The speed of light (d) The time interval between two events (e) Newton's first law (f) The order of the elements in the periodic table (g) The value of the electron charge

求解第5題

PROPERTIES OF CURVES (Chapter 13) 340 ACTIVITY Click on the icon to run a card game on curve properties. REVIEW SET 13A b y = x - 5x + 2 at (2,0) 1 Find the equation of the tangent to: a y=-222 at the point where x = -1 1-2x at (1, - d f(x) = (3x-1 at the point where 1 = e f(x) = ln(x-2) at the point where x = e. 2 Find the equation of the normal to: a y = 13.1 +4 at (4,4) y = 3e2: a Find a. b at the point where I = 1. 3 At the point where x = 0, the tangent to f(x) = 4x + px + q has equation y = 50-1 Find p and q. 4 Find all points on the curve y = 22 + 3.22 - 10x +3 where the gradient of the tangent is 2 5 The line through A(2, 4) and B(0,8) is a tangent to y= (x + 2)2 6 Find where the tangent to y = 228 +4x – 1 at (1,5) meets the curve again. a Find the equation of the normal to y = e2c at the point where x = a. b Hence find the equation of the normal to y = e21 which passes through the origin. 8 Find the coordinates of P and Q if (PQ) 5 y = at (1,5). va 7 YA is the tangent to P (1,5) 5 y = Q The tangent to y = x+/T = c at * = -3 cuts the axes at points A and B. Determine the area of triangle OAB. Find intervals where f(x) = -23 - 6x2 + 36x - 17 is: a increasing Consider the function f(x) = 2x3 - 3x2 - 360 +7. a Find and classify all stationary points. b decreasing b Find intervals where the function is increasing and decreasing. Describe the behaviour of the function as 200 and as X-→ -0. d Sketch the graph of y=f(x) showing the

微積分的問題，雙倍三倍的概念

27-30 MODELING, APPLICATIONS 27. Exponential growth. If the growth rate of a culture of bacteria is proportional to the number of bacteria present and after 1 day is 1.25 times the original number, within what interval of time will the number of bacteria (a) double, (b) triple?

大一微積分 求求大家幫忙🙏🏻😭

(b ) Find the radius of convergence and interval of convergence of the power series Enzo (-1)n (2x + 3)n 2n

請問這題微積分要如何解?

e ax 26. et dx J1.2. J. 27. A quarter circle of radius 1 has the equation y = V1 - x2 for 0 < x < 1 and has area 4 Thus, V1-x² dx V1 = ** dx = 1 Use this formula to estimate t by applying: a. The trapezoidal rule. b. Simpson's rule. In each case, use n = 8 subintervals.

A-B還有B-A要怎麼知道旁邊要寫中括號還是小括號

(注意: 2:1-29 ) \ 成,例题3中各集合可以表為A(-3. . ANB=(-2, 1), A-B=(-3, -2). 今 -1, 5), 試用區間符號表示下列集合: B. (3) A-B. (4) B- (415) 4] [2,-1] HAT

求救 統計#9 （可支薪）

9.A society PAWT is primarily concerned with the amount of TV viewed by todays youth. It asked 300 parents of elementary school aged children to estimate the number of hours their child spent watching television in any given week. The mean and the standard deviation for their responses were 17 and 3, respectively. PAWT then constructed a stem-and-leaf display for the data, which showed that the distribution of the number of hours was a symmetric, mound-shaped distribution. Identify the interval where you believe appropriately 95% of the television viewing fell in the distribution.

急！求救 #6 8 9 如果需要酬勞可私下談 （ex.$70題）

pie participation in informal 6.The National Science Foundation (NSF) sponsored a study on girls' science, technology, engineering, or mathematics (STEM) programs. The results of the study were published in Cascading Influences: Long-Term Impacts of Informal STEM Experiences for Girls (March 2013). The researchers sampled 174 young women who recently participated in a STEM program. They used a pie chart to describe the geographic location (urban, suburban, or rural) of the STEM programs attended. Of the 174 participants, 107 were in urban areas, 57 in suburban areas, and 10 in rural areas. a.Determine the proportion of STEM participants from urban areas. b.Determine the proportion of STEM participants from suburban areas. c.Determine the proportion of STEM participants from rural areas. d. Multiply each proportion in parts a-c by 360 to determine the pie slice size (in degrees) for each location. e.Use the results, part d, to construct a pie chart for geographic location of STEM participants. f.Interpret the pie slice for urban areas. g.Convert the pie chart into a bar graph. Which, in your opinion, is more informative? 7. All high way bridges in the US are inspected periodically for structural deficiency by the FHWA. Data from the FHWA inspections are compiled into the National Bridge Inventory (NBI). Classify each variable below as quantitative or qualitative. a. Length of maximum span (feet). b. Number of vehicle lanes. c. Toll bridge (yes or no). d. Average daily traffic. e. Condition of deck (good, fair, or poor). f. Bypass or detour length (miles). g. Route type (interstate, U.S., state, county, or city) 8. The NBI data were analyzed and the results made available at the FHWA Web site. Using the FHWA inspection ratings, each of the 608,272 highway bridges in the US was categorized as structural deficient, functionally obsolete, or safe. About 13.5% of the bridges were found to be structural deficient, while 3.5% were functionally obsolete. a. What is the variable of interest to the researchers? b. Is the variable of part a quantitative or qualitative? c. Is the data set analyzed a population or a sample? Explain. d. How did the NBI obtain the data for the study?