What is Ap: Definition and 690 Discussions

A village is a clustered human settlement or community, larger than a hamlet but smaller than a town (although the word is often used to describe both hamlets and smaller towns), with a population typically ranging from a few hundred to a few thousand. Though villages are often located in rural areas, the term urban village is also applied to certain urban neighborhoods. Villages are normally permanent, with fixed dwellings; however, transient villages can occur. Further, the dwellings of a village are fairly close to one another, not scattered broadly over the landscape, as a dispersed settlement. In the past, villages were a usual form of community for societies that practice subsistence agriculture, and also for some non-agricultural societies. In Great Britain, a hamlet earned the right to be called a village when it built a church. In many cultures, towns and cities were few, with only a small proportion of the population living in them. The Industrial Revolution attracted people in larger numbers to work in mills and factories; the concentration of people caused many villages to grow into towns and cities. This also enabled specialization of labor and crafts, and development of many trades. The trend of urbanization continues, though not always in connection with industrialization. Historically homes were situated together for sociability and defence, and land surrounding the living quarters was farmed. Traditional fishing villages were based on artisan fishing and located adjacent to fishing grounds.
In toponomastic terminology, names of individual villages are called comonyms (from Ancient Greek κώμη / village and ὄνομα / name).

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  1. rosedog09

    Hello - A drowning student taking AP Physics 1 Online

    Hello. I am joining this forum in hopes of expanding my physics knowledge and improving my accuracy in my current AP Physics Class. This class has been awful. I am normally top of my class, including AP Calculus BC, so I have a firm grasp of studying and mathematics. I am hoping to be a...
  2. Daniel Guh

    AP Physics C Mechanics: Linear Momentum for Colliding Billiard Balls

    I'm guessing this question can be solved using the law of conservation of momentum Vi = 5 m/s (5 m/s) M = (4.33 m/s) cos30 M + V sinθ M I don't know what to do after this... I'm also not sure if I use the sin and cos correctly.
  3. F

    Using PASCO's FFT Ap for Investigation 16D

    I was trying to incorporate this lab into the course, but when I try using a tuning fork on the FFT/Spectrum Analyzer app I can't get a well defined frequency reading. I tried doing the same thing on an opensource FFT app and had the same issue. I am thinking most laptop microphones these days...
  4. paulimerci

    Intro Physics Recommendations on Introductory physics and AP physics 1 books?

    Greetings to all. I'm looking for the best textbook for introductory physics that has clear explanations and is problem-oriented. I'd also appreciate any recommendations for textbooks for the AP Physics 1 exam.
  5. BWV

    B Best algebra skills to practice for AP Calc?

    My HS senior son is taking AP Calc this year and struggled with the first quiz, which was a review of some more difficult algebra - factoring higher degree polynomials, simplifying complicated fractions etc. Ordered him Schaum’s Int algebra for practice problems, but curious about any advice...
  6. cellist542

    Hardest content to learn for AP Physics C: Electricity & Magnetism

    What are some of the hardest concepts to learn in AP E&M? I am going to prepare for the exam with my previous physics teacher. I am currently a senior enrolled in AP Calc BC, and I already took AP Mechanics.
  7. S

    Studying Advice for a Self-Studying AP Physics 1/2 Student?

    Hi! Feel free to yell at me if this is the wrong forum; I'm a little new at this. I'm self-studying AP Physics 1 and 2 this year, and so far it's going quite well! My only fear is that, because I don't have a specific AP Physics teacher, there may be something really important about the...
  8. H

    Misc. AP Seminar Student Looking For A Topic

    Hellooooooo I am a rising 11th grader that is participating in my school's AP Seminar program. As an aspiring astrophysicist, I wanted to do a research project on some sort of topic in this area. Any ideas? Just to give a background of my knowledge/ the level I am at, I am going into AP calculus...
  9. ClimberT8

    Help: Frequently asked AP Physics or PHY 101 questions bank?

    If you have a collection of questions (possibly with your answers) that students have asked during AP Physics or PHY 101 (so high school or college level physics) I would love to hear from you. As "experts", it is very difficult for us to imagine the questions that novices (first time learners...
  10. Monoxdifly

    MHB [ASK] Minimum Length of AP + PB

    The point A is located on the coordinate (0, 5) and B is located on (10, 0). Point P(x, 0) is located on the line segment OB with O(0, 0). The coordinate of P so that the length AP + PB minimum is ... A. (3, 0) B. (3 1/4, 0) C. (3 3/4, 0) D. (4 1/2, 0) E. (5, 0) What I did: f(x) = AP + PB...
  11. pandamonium_

    AP Physics Momentum, Impulse, Collisions, and Power

    1/2mv^2 = 1/2mv^2 - 1/2kx^2 but can't plug in numbers for x or m mv+mv=mv+mv but no mass given very lost
  12. karush

    MHB Apc.2.8.1 ap vertical circular cylinder related rates

    $\tiny{2.8.1}$ The vertical circular cylinder has radius r ft and height h ft. If the height and radius both increase at the constant rate of 2 ft/sec, Then what is the rate at which the lateral surface area increases? \een $\begin{array}{ll} a&4\pi r\\ b&2\pi(r+h)\\ c&4\pi(r+h)\\ d&4\pi rh\\...
  13. karush

    MHB 3.3.2 AP Calculus Exam interval from f'(x)

    screen shot to avoid typos OK the key said it was D I surfed for about half hour trying to find a solution to this but $f'(0)$ doesn't equal any of these numbers $e^0=\pm 1$ from the $e^{(x^2-1)^2}$ kinda ?
  14. karush

    MHB S8.7.2.1 AP calculus Exam (typo problem)

    ok I thot this was just observation to get b. but maybe not I saw some rather hefty substations to get different answers
  15. karush

    MHB What Is the Value of the Integral $\int_0^1 xe^x \, dx$?

    $\tiny{4.2.5}$ $\displaystyle\int^1_0{xe^x\ dx}$ is equal to $A.\ \ {1}\quad B. \ \ {-1}\quad C. \ \ {2-e}\quad D.\ \ {\dfrac{e^2}{2}}\quad E.\ \ {e-1}$ ok I think this is ok possible typos but curious if this could be solve not using IBP since the only variable is x
  16. karush

    MHB 2.1.4 AP calc exam graph properties

    screenshot to avoid typos I picked B just could see the others as definite insights?
  17. karush

    MHB 4.2.1 AP calc exam another int with e

    Evaluate $\displaystyle\int\dfrac{e^{2x}}{1+e^x} \, dx=$ $a.\quad \tan^{-1}e^x+C$ $b.\quad 1+e^x-\ln(1+e^1)+C$ $c.\quad x-x+\ln |1+e^x|+C$ $d.\quad e^x+\frac{1}{(e^x+1)^2}+C$ $e.\quad {none}$ ok I was going to use $u=1+e^x\quad du=e^x dx$ but maybe not best btw I tried to use...
  18. karush

    MHB 1.6.1 AP Calculus Exam Limits with L'H

    $\displaystyle\lim_{x \to 0}\dfrac{1-\cos^2(2x)}{(2x)^2}=$ by quick observation it is seen that this will go to $\dfrac{0}{0)}$ so L'H rule becomes the tool to use but first steps were illusive the calculator returned 1 for the Limit
  19. karush

    MHB Q1 Can you pass this 3 question AP calculus Quiz in 10 minutes

    1. $f(x)=(2x+1)^3$ and let g be the inverse function of f. Given that$f(0)=1$ what is the value of $g'(1)$? A $-\dfrac{2}{27}$ B $\dfrac{1}{54}$ C $\dfrac{1}{27}$ D $\dfrac{1}{6}$ E 6 2. given that $\left[f(x)=x-2,\quad g(x)=\dfrac{x}{x^2+1}\right]$ find $f(g(-2))$...
  20. karush

    MHB 2.4.3 AP Calculus Exam Integration limits

    by observation I choose (c) since the limit values may not be =
  21. aspodkfpo

    AP Physics C sample question that I think is wrong (dart hitting a box)

    https://apcentral.collegeboard.org/pdf/ap-2020exam-sample-questions-physics-c-mechanics.pdf For 1 b) how did they get that equation? Is it wrong?
  22. karush

    MHB What Does the Intermediate Value Theorem Guarantee for a Continuous Function?

    I thot I posted this before but couldn't find it ... if so apologize Let f be a function that is continuous on the closed interval [2,4] with $f(2)=10$ and $f(4)=20$ Which of the following is guaranteed by the $\textbf{Intermediate Value Theorem?}$ $a.\quad f(x)=13 \textit{ has a least one...
  23. karush

    MHB APC.5.2.01 AP Volume by Rotation

    $\displaystyle\pi\int_{0}^{\infty} e^x \ dx = \pi$ Ok I looked at some of the template equations but came up with this.
  24. karush

    MHB 4.1.1 AP calculus Exam Int with U substitution

    Evaluate $\displaystyle\int{\dfrac{{(1-\ln{t})}^2}{t} dt=}$ $a\quad {-\dfrac{1}{3}{(1-\ln{t})}^3+C} \\$ $b\quad {\ln{t}-2\ln{t^2} +\ln{t^3} +C} \\$ $c\quad {-2(1-\ln{t})+C} \\$ $d\quad {\ln{t}-\ln{t^2}+\dfrac{(\ln{t^3})}{3}+C} \\$ $e\quad {-\dfrac{(1-\ln{t^3})}{3}+C}$ ok we can either expand...
  25. karush

    MHB 4.1.306 AP Calculus Exam Area under Curve

    $\textsf{What is the area of the region in the first quadrant bounded by the graph of}$ $$y=e^{x/2} \textit{ and the line } x=2$$ a. 2e-2 b. 2e c. $\dfrac{e}{2}-1$ d. $\dfrac{e-1}{2}$ e. e-1Integrate $\displaystyle \int e^{x/2}=2e^{x/2}$ take the limits...
  26. karush

    MHB What is the AP calculus exam IVT question?

    Ok I thot I posted this before but after a major hunt no find Was ? With these options since if f(x) Is a curve going below the x-axis Is possible and () vs [] If this is a duplicate post What is the link.. I normally bookmark these Mahalo ahead
  27. karush

    MHB 6.1.1 AP Calculus Inverse of e^x

    If $f^{-1}(x)$ is the inverse of $f(x)=e^{2x}$, then $f^{-1}(x)=$$a. \ln\dfrac{2}{x}$ $b. \ln \dfrac{x}{2}$ $c. \dfrac{1}{2}\ln x$ $d. \sqrt{\ln x}$ $e. \ln(2-x)$ ok, it looks slam dunk but also kinda ? my initial step was $y=e^x$ inverse $\displaystyle x=e^y$ isolate $\ln{x} = y$ the...
  28. karush

    MHB 4.5.1 AP Calculus Exam .... area of piece wise funcion

    ok well it isn't just adding the areas of 2 functions but is $xf(x)$ as an integrand Yahoo had an answer to this but its never in Latex so I couldn't understand how they got $\dfrac{7}{2}$
  29. karush

    MHB 2.7.2 AP Calculus Exam .... distance traveled estimate

    https://www.physicsforums.com/attachments/9542 ok all I did was count squares so about 21
  30. karush

    MHB 1.8.1 AP Calculus find k for critical point

    $\displaystyle g'=2xe^{kx}+e^{kx}kx^2$ we are given $ x=\dfrac{2}{3}$ then $\displaystyle g'=\dfrac{4}{3}e^\left(\dfrac{2k}{3}\right)+e^\left({\dfrac{2k}{3}}\right)\dfrac{4k}{9}$ ok something is ? aren't dx supposed to set this to 0 to find the critical point did a desmos look like k=-3 but ...
  31. karush

    MHB 4.2.251 AP Calculus Exam......must be true on the interval 0<x<2

    https://www.physicsforums.com/attachments/9527 ok from online computer I got this $\displaystyle\int_0^x e^{-t^2}=\frac{\sqrt{\pi }}{2}\text{erf}\left(t\right)+C$ not sure what erf(t) means
  32. karush

    MHB 1.4.293 AP Calculus Exam a(t) and v(t) t=8

    OK, this can only be done by observation so since we have v(t) I chose e but the eq should have a minus sign. here the WIP version of the AP Calculus Exam PDF as created in Overleaf https://documentcloud.adobe.com/link/track?uri=urn%3Aaaid%3Ascds%3AUS%3A053a75d8-ca5b-4447-bd65-4e580f0de793...
  33. karush

    MHB 4.1.310 AP calculus Exam Area under to functions

    ok I got stuck real soon... .a find where the functions meet $$\ln x = 5-x$$ e both sides $$x=e^{5-x}$$ok how do you isolate x? W|A returned $x \approx 3.69344135896065...$ but not sure how they got itb.? c.?
  34. karush

    MHB 2.6.284 AP calculus Exam Lamp and Shadow related rates

    yes I know this is a very common problem but likewise many ways to solve it ok I really have a hard time with these took me 2 hours to do this looked at some examples but some had 3 variables and 10 steps confusing to get the ratios set up... ok my take on it is here see if you can solve...
  35. karush

    MHB 1.6.365 AP Calculus Exam Limits

    ok I chose c being false, since a limit does not exist if f(x) is different coming from $\pm$
  36. karush

    MHB 2.3.361 AP Calculus Exam of differentials of sin wave

    image due to graph, I tried to duplicate this sin wave on desmos but was not able to. so with sin and cos it just switches to back and forth for the derivatives so thot a this could be done just by observation but doesn't the graph move by the transformations well anyway?
  37. karush

    MHB 4.2.251 AP calculus exam concave ?

    ok this one baffled me a little but isn't $g = e^{-t^2}$and the graph of that has an inflection point at x=1
  38. karush

    MHB 2.1.2 AP calculus Exan particle move along the x-axis

    A particle moves along the x-axis. The velocity of the particle at time t is $6t - t^2$. What is the total distance traveled by the particle from time $t = 0$ to $t = 3$ ok we are given $v(t)$ so we do not have to derive it from a(t) since the initial $t=0$ we just plug in the $t=3$ into $v(t)$...
  39. karush

    MHB 3.1.6 AP calculus Exam piece wise integral

    I tried to do this just by observation, but kinda hard with a piece wise function so would presume
  40. karush

    MHB 4.1.286 AP Calculus Exam .... table of f(t).

    ok these always baffle me because f(t) is not known. however if $f'(t)>0$ then that means the slope is aways positive which could be just a line. but could not picture this to work in the tables. Im sure the answer can be found quickly online but I don't learn by copy and paste. d was...
  41. T

    AP Physics 1 Help? Centripetal motion/Kinematics/Friction problem

    I think I have solved the first three, and only really need help on question four. For number one, I used Fc = (Mv^2)/R and just rearranged it for velocity so I ended up with v = sqrt(ac * R) For number 2 I used Ff = Fn*mu and got Mg*mu = Ff For number 3 I used w = Ff*d and got w = -Mg*mu*l...
  42. karush

    MHB 1.8.4 AP Calculus Exam Integral of piece-wise function

    image due to macros in Overleaf ok I think (a) could just be done by observation by just adding up obvious areas but (b) and (c) are a litte ? sorry had to post this before the lab closes
  43. karush

    MHB 3.3.300 AP Calculus f' interval

    image due to macros in overleaf well apparently all we can do is solve this by observation which would be the slope as x moves in the positive direction e appears to be the only interval where the slope is always increasing
  44. karush

    MHB 2.2.1 AP Calculus Exam .... derivative with ln

    If $f(x)=7x-3+\ln(x),$ then $f'(1)=$ $a.4\quad b. 5\quad c. 6\quad d. 7\quad e. 8$ see if you can solve this before see the proposed solution
  45. karush

    MHB 303 AP calculus int with initial value

    ok image to avoid typo... try to solve before looking at suggested solutions ok I think you could do this by observation if you are careful with signs
  46. karush

    MHB AP calculus exam tikx graph of e (tan x ) -2

    The graph of $y=e^{\tan x} - 2$ crosses the x-axis at one point in the interval [0,1]. What is the slope of the graph at this point. A. 0.606 B 2 C 2.242 D 2.961 E 3.747ok i tried to do a simple graph of y= with tikx but after an hour trying failed doing this in demos it seens the answer is...
  47. karush

    MHB 3.1.5 AP Calculus Exam average temperature

    309 average temperature $$\begin{array}{|c|c|c|c|c|c|c|} \hline t\,(minutes)&0&4&9&15&20\\ \hline W(t)\,(degrees Farrenheit)&55.0&57.1&61.8&67.9&71.0\\ \hline \end{array}$$ The temperature of water in a tub at time t is modeled by a strictly increasing, twice-differentiable function W. where...