微積分
極限、導関数、最適化、関数挙動。
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differentiate $v = t^{2}+\frac{-6}{sqrt4{t^{3}}}$. $v=$
$2t+\frac{9}{2t^{\frac{7}{4}}}$
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differentiate (f(t)=sqrt6{t}-\frac{1}{sqrt6{t}}). (f(t)=)
$\frac{1}{6}t^{-\frac{5}{6}}+\frac{1}{6}t^{-\frac{7}{6}}$
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estimate the y - coordinate at which the relative maxima and relative m…
For $f(x)=-x^{4}+2x^{2}+3$: Relative minimum at $(0,3)$, relative maxima at $(1,4)$ and $(-1,4)$. For $f(x)=0.75x^{4}+x^{3}-3x^{2}+4$: Relative maximum at $(0,4)$, relative minima…
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determine each of the following, where (f(x)=2x^{3}+3x - 1). a. (f(x)=)…
a. $f^\prime(x)=6x^{2}+3$ b. $f^\prime(-2)=27$
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determine each of the following, where (f(x)=3.8x^{3}-4.9x - 4). a. (f(…
a. $724.7$ b. $280.1$
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the height of a sand dune is represented by $f(t)=900 - 6t^{2}$ cm, whe…
$f(12)=36$ cm $f^\prime(12)=-144$ cm/yr
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read the paragraph. to conserve fuel and save lives, the national speed…
persuade drivers to slow down
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identify any x - values at which the absolute value function f(x)=6|x +…
not continuous: none not differentiable: -1
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decide if the following function (f(x)) is differentiable at (x = 0). t…
$0$
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getting a new business off the ground can be a challenge, but a teenage…
The quotation from the article that most clearly states the author's purpose is "Woodrow started his own clothing label."
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getting a new business off the ground can be a challenge, but a teenage…
inform about a teen business
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consider the function graphed below. at what x - values does the functi…
At what \(x\) - values does the function appear to not be continuous? \(x = 1\) At what \(x\) - values does the function appear to not be differentiable? \(x = 1,4\)
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suppose that the cost of drilling $x$ feet for an oil well is $c = f(x)…
a. dollars / foot b. 1000
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consider the following function. f(x)=\begin{cases}5x^{2}+3x + 10&xleq1…
$13$
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3. a rectangular shelter is to be made using a rectangular sheet that i…
$x = 1.25$m
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what is an advantage of forming an llc? it is simple to form it limits …
it has limited liability
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what is a key difference between a c corporation and an s corporation? …
The S corporation is restricted to 100 investors, and a C corporation is not restricted in this way
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given the graph of y = f(x) below, at which of the marked x - values ca…
A. x4 B. x3, x4 C. x3, x4 D. x2 E. x1, x2, x5 F. x4, x5
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the system of checks and balances allows each branch of government to l…
The legislative branch may override a President's veto, impeach the President, approve appointments of judges and treaties. The judicial branch may declare executive acts unconsti…
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the system of checks and balances allows each branch of government to l…
# Brief Explanations: In a system of checks - and - balances, the legislative branch can override a presidential veto with[SSE Completed, Client Connection Error][SSE Completed, C…
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consider the following function. r(x)=\begin{cases}\frac{5}{8x^{5}}&\te…
The graph is a hyper - bolic shape and is decreasing on the interval $(-\infty,1)$.
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ush 6 first five presidents 1. explain the significance (why are they i…
1. - a. Established presidential advisory system. - b. Allowed domestic growth by avoiding European conflicts. - c. Set term - limit precedent. 2. Used Sedition Act to suppress cr…
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kins civics 6/7 lesson 1 etext: an overview of the constitution due oct…
Popular sovereignty is the foundation that enables limited government. The people, as the source of power according to popular - sovereignty, have the right and ability to limit t…
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find the derivative of y with respect to x. y = log 7e^9x \frac{dy}{dx}…
$\frac{9}{\ln 7}$
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find the derivative of y with respect to x. y = log₆x + log₆x⁶ dy/dx = □
$\frac{7}{x\ln 6}$
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find the derivative of y with respect to θ. y = log₇8θ dy/dθ = □
$\frac{1}{\theta\ln 7}$
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find the derivative of y with respect to θ if y = ln(\\frac{e^{12θ}}{1 …
$\frac{12}{1 + e^{12\theta}}$
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enter an exact answer. provide your answer below. ∫₃² 3/(2x + 1) dx
$\frac{3}{2}\ln(\frac{7}{5})$
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question 17 · 1 point evaluate the indefinite integral given below for …
$\frac{9}{16}\sqrt{16x^{2}-9}+C$
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question 16 · 1 point evaluate the definite integral below. (enter an e…
$\frac{35\sqrt{5}}{3}$
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question 15 - 1 point evaluate the indefinite integral given below. pro…
$\frac{4}{15(1 - 5x^{3})}+C$
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question 14 - 1 point evaluate the indefinite integral given below. pro…
$-\frac{7}{20}\sin(5x^{4}+10)+C$
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question 13 · 1 point evaluate the definite integral given below. $int_…
\(\frac{-3 - \sqrt{3}}{2}\)
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use logarithmic differentiation to find the derivative of y with respec…
$x^{8x + 7}(8\ln x+\frac{8x + 7}{x})$
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use logarithmic differentiation to find the derivative of y with respec…
$t^{\frac{t}{7}}(\frac{1}{7}\ln t+\frac{1}{7})$
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provide your answer below: f(x)=int_{1}^{e^{x}}(t^{3}+7)dt f(x)= square
$e^{4x}+7e^{x}$
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question 10 - 1 point given (f(x)) below, find (f(x)). (f(x)=int_{sin(x…
$F^{\prime}(x)=(\sin^{2}(x)+10)\cos(x)$
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find the derivative of y with respect to θ if y = ln(\\frac{e^{12θ}}{1 …
$\frac{12}{1 + e^{12\theta}}$
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question 9 · 1 point given f(x) below, find f(x). f(x)=\\int_{3}^{x}-\\…
$-\frac{3}{2x + 7}$
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question 7 - 1 point which of the following answer choices represents t…
$\lim_{n ightarrow\infty}\frac{170}{n^{4}}\sum_{i = 1}^{n}(17i - 7n)^{3}$
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question 5 · 1 point find the curve whose slope at any point (x,y) is -…
$y=-x^{3}+2x^{2}+2x + 6$
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question 4 · 1 point evaluate the indefinite integral given below. prov…
$\frac{8}{5}\ln|x|+C$
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question 2 · 1 point if (f(x)=-\frac{x^{2}}{3}) is an antiderivative of…
$-3F(x)-\frac{1}{2}x^{4}+C$
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analyse les fonctions suivantes: a) g(x) dom g = im g = intervalle(s) d…
Dom g = $\mathbb{R}$ Im g : à déterminer en observant précisément le graphe pour la plus petite et la plus grande valeur Intervalles de croissance : à déterminer en observant les …
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question 1 - 1 point find the most general antiderivative (including th…
$-10\cos(x)-2\sin(x)+C$
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which of the following is a technique used to create chinese porcelain …
Artists made porcelain from a mixture of pure white clay and feldspar.
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find the derivative of y with respect to x. y = \\frac{\\ln x}{2 + 3\\l…
$\frac{2}{x(2 + 3\ln x)^{2}}$
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exit ticket: your circle of control 1. how can you balance your energy …
1. Identifica lo controlable, autocuídate y acepta lo incontrolable. 2. Actúa con intención y acepta lo que no se puede controlar. 3. Enfócate en tus prioridades más importantes.
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determine the domain on which the following function is decreasing.
The function is decreasing on the domain \((0,3)\)
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find the derivative of y with respect to x. y = (x^6 ln x)^3 \frac{dy}{…
$3x^{17}\ln^{2}x(6\ln x + 1)$
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perform long division on the integrand, write the proper fraction as a …
$3y-\frac{1}{2y}+\frac{y}{2(y^{2}+2)}$
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10. for the specialized coordinate system given, express the derivative…
### (a) Cylindrical coordinates \(\frac{\partial f}{\partial r}=\frac{\partial f}{\partial x}\cos\theta+\frac{\partial f}{\partial y}\sin\theta\), \(\frac{\partial f}{\partial\the…
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exit ticket: your circle of control 1. how can you balance your energy …
1. Identifica y prioriza, dedica tiempo a autocuidado. 2. Comunícate de forma clara y assertiva, no intentes controlar las reacciones. 3. Enfócate en lo que puedes controlar y en …
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a brilliant leader of the indian independence movement emerged out of t…
B. nonviolent and effective
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9. in polar coordinates the gradient of a function can be computed with…
For $u(r,\theta)=r^{2}\cos\theta\sin\theta$, $\| abla u\|^{2}=r^{2}$; for $u(r,\theta)=e^{r^{2}}\sin^{2}\theta$, $\| abla u\|^{2}=4e^{2r^{2}}\sin^{2}\theta(r^{2}\sin^{2}\theta+\…
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1. a students phone plan allows 10 gb of data per month. he uses at lea…
$0.5d\leq10$ ### 2.
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determine the absolute minimum value of the function f.
$-7$
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the function graphed above is: increasing on the interval(s) decreasing…
Increasing on the interval(s): \((-2,-1)\cup(2,4)\) Decreasing on the interval(s): \((-5,-2)\cup(-1,2)\)
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determine all intervals on which the graph of f is increasing.
The function \(f\) is increasing on the intervals \((-2,1)\) and \((4,6)\).
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let $f(x)=2x^{2}-6x + 13$. the slope of the tangent line to the graph o…
The slope of the tangent line to the graph of $f(x)$ at the point $(2,9)$ is $2$. $m = 2$ $b = 5$
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a. verify that the given point lies on the curve. b. determine an equat…
a. The point \((3,4)\) lies on the curve since when \(x = 3\) and \(y = 4\), \(48(x^{2}+y^{2})^{2}=625xy^{2}=30000\). b. The equation of the tangent line to the curve at the point…
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for the following composite function, find an inner function u = g(x) a…
D. $u = g(x)=\frac{x}{18}$ and $y = f(u)=\sin u$ $\frac{dy}{dx}=\frac{1}{18}\cos\frac{x}{18}$
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your company manufactures 72 hr. emergency kits and sells them for a lo…
A. Email
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the edges of a cube increase at a rate of 4 cm/s. how fast is the volum…
The equation relating volume $V$ and edge $a$ is $V = a^{3}$. Differentiating with respect to $t$ gives $\frac{dV}{dt}=3a^{2}\frac{da}{dt}$. The rate of change of the volume is $4…
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the function f(x) is graphed below. how many points on the graph repres…
2
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sand falls from an overhead bin and accumulates in a conical pile with …
$2304\pi$ $cm^{3}/s$
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topic: inequalities application problem 1) carlos wants to go to the mo…
1. For Carlos: $(12 + 5)m\leq100$ (or $17m\leq100$) 2. For Carlos: He doesn't have enough money. He is short by $2$ dollars. 3. For Carlos: $m\leq5$ 4. For John: $50+20n\leq290$ 5…
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8. use the multi - variable chain rule to calculate the derivatives. ex…
(a) $\frac{\partial f}{\partial r}=2rs^{4}$, $\frac{\partial f}{\partial s}=4r^{2}s^{3}+3s^{2}t^{6}$, $\frac{\partial f}{\partial t}=6s^{3}t^{5}$ (b) $\frac{\partial f}{\partial s…
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what was joseph stalins goal in creating a command economy? - to gradua…
to outproduce capitalist nations
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determine the absolute maximum value of the function f.
2
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a rectangular page is to contain 12 square inches of print. the page ha…
$4,12$
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find the dimensions of a closed rectangular box with a square base and …
The length of one side of the base is 3 in. The height of the box is 3 in.
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6. what is republicanism? a) the idea that government must obey the law…
6. c) Citizens elect representatives to make decisions for them 7. c) The Bill of Rights 8. c) Republicanism 9. b) Through separation of powers and checks and balances 10. b) To p…
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a rectangular garden of area 832 square feet is to be surrounded on thr…
To minimize costs, the lengths of the sides consisting of a fence and a brick wall should be 32 feet and the lengths of the perpendicular sides, which are only made from brick wal…
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1. which principle means that government power comes from the people? •…
1. b) Popular sovereignty 2. c) To prevent the government from becoming too powerful 3. c) Separation of powers 4. b) The President can veto a bill passed by Congress 5. b) Divide…
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4. for the function and the vector, $vec{v}$, and the point $p$ given, …
(a) $12$ (b) $\frac{44}{3}$ (c) $-\frac{49}{\sqrt{29}}$ (d) $\frac{10976}{125\sqrt{58}}$
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3. what is one way that the ideas stated in the declaration of independ…
A. Equal employment opportunities B. Voting rights amendments
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8. the president signs a bill into law after congress passes it. your a…
8. True. Reasoning: It is part of the legislative - executive process in a democratic system with checks and balances. 9. True. Reasoning: In a federal system, states have some au…
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8. the president signs a bill into law after congress passes it. your a…
1. b) Popular sovereignty 2. c) To prevent the government from becoming too powerful 3. c) Separation of powers 4. b) The President can veto a bill passed by Congress 5. b) Divide…
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the declaration of independence included these grievances: - taxation w…
B. Suspending trial by jury in many cases
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the quote below is from a historical document. \a prince whose characte…
They supported individual liberties.
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evaluate the following limit. use lhôpitals rule when it is convenient …
1
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evaluate the following limit. use lhopitals rule when it is convenient …
$\frac{25}{8}$
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evaluate the following integral or state that it diverges. int_{3}^{inf…
B. The integral diverges.
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18. what shapes correct interpretation? a. tone progression b. chapter …
18. d. Perspective 19. d. By relating the theme to personal experiences 20. b. First - person 21. d. It evokes a feeling of peaceful contentment 22. d. Perspective 23. c. To creat…
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seleccionar unlimited attempts left due october 8th 11:59 pm seleciona …
1. C. despertador 2. A. manos 3. B. jabón 4. D. entonces 5. B. toalla
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10 what term describes the reason behind a characters actions? a theme …
10. d. Motivation 11. c. Symbolism 12. c. To understand theme's impact 13. d. It limits the narrative to the narrator's knowledge 14. a. Central idea
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questions 1. the concentration of a dye (in ml) in a solution is modele…
$\frac{60000 - 82500\ln(33)}{185625}\text{ mL/min}$
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you will know certainly that you must wear out long ages, millions of m…
C. suggest that this type of suffering is unimaginable.
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question 3 of 19 which of the following most resembles the type of gove…
B. A government like the Vatican, which is ruled by the leader of the Catholic Church.
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1. define the concept right to private property. 2. what is republicani…
1. The legal right to own, use, and dispose of property. 2. b. A system of government in which people elect 3. a. Every 4 years, citizens vote to elect a president 4. Established …
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how did justinians political and legal reforms strengthen the byzantine…
By creating a clear and organized legal system that unified the empire
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question 5 of 10 which statement describes an example of a narrative? a…
C. A senator explains how she went from being a cheerleader to one of the most powerful women in Washington.
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click to correct any errors in the sentences. scarcity means that peopl…
The error is in the sentence "So, people can always get as much of things as they want." It should be something like "So, people cannot always get as much of things as they want."
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list and define the three british traditions americans used to design t…
2. Representative Government: People elect representatives to govern on their behalf. 3. Limited Government: Government power is restricted to protect individual rights.
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economics exists because people have unlimited wants but limited resour…
People sometimes can't have as much of something as they want. People face trade - offs, or choices between things they want.
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after a week of using your new screen time limits, you and mario notice…
Set regular "screen - free" times, such as during meals or before bed, and stick to them consistently.
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mario is glad that you spoke to him about the negative effects of too m…
B. Use an app to track and limit your screen time for specific activities, such as social media and gaming.
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people need resources to meet their needs and wants. but resources are …
12
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in this section, youll use habits and behaviors to help establish healt…
A. "It may lead to physical discomfort like eye strain and poor posture, as well as mental fatigue."