微积分
极限、导数、最优化与函数性质。
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a. graph ( f(x) = \begin{cases} 4 - x^2, & x eq -2 \\ 7, & x = -2 end{c…
### Part a: To determine the correct graph, we analyze the function \( f(x)=\begin{cases}4 - x^2, & x eq - 2\\7, & x = - 2\end{cases}\) - The function \(y = 4-x^{2}\) is a downwa…
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use the following function and its graph to answer parts a through d be…
A. \( \lim\limits_{x \to 3^-} f(x) = \boldsymbol{2} \)
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the following three functions look very similar, but define very differ…
(for Problem 1): $f(x) = x^4$, $g(x) = \cos(x)$ ### Problem 2: $\boldsymbol{\cos(\cos(x)) = f(g(x))}$
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use the following function and its graph to answer parts a through d be…
A. \( \lim\limits_{x\to 3^+} f(x) = 2 \)
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la fiesta elegante unlimited attempts left due september 11th 11:59 pm …
lavarás ### Question 2
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why did thomas jefferson object to letting the national government issu…
C. Giving Congress any power not explicitly granted by the Constitution will remove all limits on its power.
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true or false: $\\lim\\limits_{x \\to 0^-} f(x) = \\lim\\limits_{x \\to…
True (the option with "True" for the question "True or false: $\lim\limits_{x\to 0} f(x) = 0$")
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use the graph below to determine whether the statements about the funct…
True
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use the graph below to determine whether the statements about the funct…
True ### Second Statement: $\boldsymbol{\lim_{x \to 0^-} f(x) = 3}$
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the three-fifths compromise established which of the following? a two-h…
only part of the slave population counting toward representation
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use the graph below to determine whether the statements about the funct…
s: - For $\lim_{x \to -3^+} f(x) = 9$: True - For $\lim_{x \to 0^-} f(x) = 3$: False
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what did the great compromise establish? ○ a weak executive branch of t…
D. a two - house (bicameral) federal legislature made up of an upper and a lower house (assuming the last option is labeled D, if the original labels were different, adjust the la…
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chapter 1 & 2 review question 34 of 34 (1 point) | question attempt: 1 …
- **Whole numbers (and Integers, Rational numbers)**: 14, 0 - **Integers (but not Whole numbers, and Rational numbers)**: - 28, - 20 - **Rational numbers (but not Integers)**: - 9…
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1. what is a short story?
A short story is a brief work of prose fiction, typically focusing on a single plot, a limited number of characters, and a concise narrative to convey a theme, idea, or event, oft…
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use the graph below to determine whether the statements about the funct…
True
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autoevaluación unlimited attempts left due september 11th 11:59 pm 1 ar…
el, la ### 2. For "comunidades"
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the english bill of rights created _______. a limited monarchy b absolu…
A. limited monarchy ### Second Question: Which of these was NOT a part of the English Bill of Rights?
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correspondencias unlimited attempts left due sep select the definite ar…
el ### 2. For "palabras"
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find the general derivative ( f(x) ) for ( f(x) = \frac{12}{x+3} ) usin…
\( f^{\prime}(x)=-\frac{12}{(x + 3)^2} \)
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which point is a relative minimum?
C
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why was the magna carta important for the development of democracy? a i…
D. The Magna Carta limited the King’s power and prevented absolutism from taking hold in England.
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how did the english bill of rights change the government structure of e…
D. It limited the monarch’s power to be shared with Parliament and the people.
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what was the purpose of the english bill of rights? a to reinstate king…
D. To limit the power of the British monarch
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in the republic of costa rica, each branch of government has different …
To solve this, we analyze the passage: ### 1. First blank: "In Costa Rica, power is held by ____ of government." The passage describes three branches (executive, legislative, judi…
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ma 241 si: sections 3.1 and 3.2 - tangent lines and the derivative at a…
### Part 1: Conceptual Fill - ins #### Explanation: The general formula for the derivative of a function \(y = f(x)\) with respect to \(x\) is given by the limit definition: \(f^{…
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7–13. assume \\(\\lim\\limits_{x \\to 1} f(x) = 8\\), \\(\\lim\\limits_…
$32$ (using Constant Multiple Law) ### Problem 8: $\lim\limits_{x\to 1}\frac{f(x)}{h(x)}$
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there are many types of governments. some governments are democratic. i…
A. Citizens have a choice about who governs them, B. Government officials must operate within the law
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6. evaluate the following limits using calculus methods and draw conclu…
s: b) \(\boldsymbol{+\infty}\) c) \(\boldsymbol{+\infty}\) d) \(\boldsymbol{6}\) e) \(\boldsymbol{\frac{3}{5}}\) f) \(\boldsymbol{+\infty}\) g) \(\boldsymbol{0}\)
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what were progressives most concerned about in capitalist society? maxi…
Addressing social problems
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question 15 (1 point) listen nadda believes the following: \it is wrong…
c) relative
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which of the following would not be considered acceptable in a democrat…
D. no limits on government leadership
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ordered government limited government representative government due pro…
Three key ideas with the greatest impact: 1. **Limited Government**: Restricted government power (e.g., via checks/balances) to prevent tyranny, mirroring colonial resistance to o…
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the speed limit posted on a road is 55 mph. when the road is wet: drive…
C. Drive 5 to 10 mph under the speed limit (assuming the options are labeled A, B, C as per the order: A. Drive 20 to 25 mph under the speed limit, B. Maintain a 55 mph speed limi…
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quick write -topic 2 - the beginning of american government essential q…
The subfield that best applies is Politics (under Social Science). The content focuses on American government formation, constitutional debates, and questions about government pow…
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one of the primary components of a fair and free election is the use of…
D. a ballot for citizens to vote on without their vote being known by anyone else
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great depression and new governments answer the following questions to …
b. Conquer lands for resources.
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consider the answers to a) and b). what is happening to f(x) as x → ±∞?…
We can conclude that a line \( y = b \) is a horizontal asymptope of a function \( f(x) \) if either \( \boldsymbol{\lim_{x \to \infty} f(x) = b} \) or \( \boldsymbol{\lim_{x \to …
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5.3 / 16 correct! territorial lorraine was returned to france military …
The missing card in the Economic/Financial section should be related to Germany being required to pay war reparations (e.g., "Required to pay war reparations" - this is the key ec…
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5.3 / 16 correct! territorial military economic/financial other treaty …
Germany was required to pay war reparations (financial compensation for war - caused damage) to the Allied powers. (Or a more specific phrasing like "Germany had to pay large - sc…
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fill out the table of values and select whether each function is odd, e…
- For \( f(x) = |x| \): Table filled as above, even. - For \( f(x) = \sin x \): Table filled as above, odd. - For \( f(x) = -x^5 + 1 \): Table filled as above, neither.
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5.3 / 16 correct! territorial lands in east germany were given to polan…
Germany had to pay war reparations (or similar economic - financial obligation related to the Treaty of Versailles, e.g., "Germany was required to pay reparations for war damages")
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calculating a rate of change of a quadratic function over an interval w…
3
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calculating a rate of change of a quadratic function over an interval w…
# Explanation: ## Step1: Identify points on the interval For \( x = -6 \), from the graph, the \( y \)-value (let's call it \( y_1 \)) is 6 (since the point is at \((-6, 6)\)). Fo…
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the table shows how far a distance runner has traveled since the race b…
5.00 miles per hour
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the telephone company offers two billing plans for local calls. plan 1 …
$x > 175$
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1. $\\lim\\limits_{x \\to -7^-} f(x) = \\square$ help (limits) 2. $\\li…
To solve these limit problems, we need the graph of the function \( f(x) \) (or a description of its behavior at the given points) because the limit of a function as \( x \) appro…
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5. some narrators simply have a limited point of view, while others are…
A. A narrator with a limited point of view doesn't know everything, an unreliable narrator knows but tries to mislead you.
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3. in this passage from \all good things are surprises,\ the narrator d…
A. We know that the narrator’s grandmother probably would prefer not to be awakened in the middle of the night.
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2. in what way is a young child’s point of view always, to some extent,…
C. A child has very limited experience and understanding of the world.
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23. ( f(x) = \frac{x^2 - 25}{x - 5} ); ( a = 5 )
The limit of \(f(x)\) as \(x\) approaches \(5\) is \(10\).
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(teks us.3.a) what was one way political machines gained and kept power…
C. They provided jobs, housing, and services to immigrants in exchange for votes
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4. according to the fed gov’t, which two obstacles prevented americans …
Two obstacles were: - Native American resistance (tribes fighting to retain territory). - Harsh natural conditions (drought, difficult terrain, limited resources). ### Question 5
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which sentence best states two central ideas that support blanc’s argum…
D. Private property limits poor people’s access to essential natural resources, and competition lowers their wages.
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on which point would both authors, eggert and blanc, most likely agree?…
C. Monopolies should not be allowed to limit competition.
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practice exercises 19–26. evaluating limits graphically sketch a graph …
\( f(-1) = 2 \), \( \lim_{x \to -1^-} f(x) = 2 \), \( \lim_{x \to -1^+} f(x) = 3 \), \( \lim_{x \to -1} f(x) \) does not exist. ### Problem 20:
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on pages 5 and 6, how do the two underlined phrases contribute to the t…
D. They convey a tone of ridicule by mocking the rigidity of conventions for their tendency to limit creativity and turn away new artists.
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why is the power to make appointments to boards and executive offices i…
C. Through appointments, a governor can spread his or her influence far beyond the limited powers of the governor’s office.
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practice exercises 19–26. evaluating limits graphically sketch a graph …
\( f(-1)=2 \), \( \lim_{x ightarrow - 1^{-}}f(x)=2 \), \( \lim_{x ightarrow - 1^{+}}f(x)=3 \), \( \lim_{x ightarrow - 1}f(x) \) does not exist.
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according to the georgia constitution, what do the leaders of state age…
D. They all fall under the supervision of the executive branch.
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practice it tendency to perceive objects as limited to the customary fu…
D. functional fixedness (assuming the options are labeled A - E with D being functional fixedness; if the original labeling has functional fixedness as, say, the 4th option, adjus…
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\poetry\ is a 1919 poem by marianne moore. the poem highlights an ambiv…
D. "Reading [poetry], however, with a perfect contempt for it, one discovers that there is in / it after all, a place for the genuine."
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$\\frac{d^4 y}{dx^4} (3x^4) = \\square$
\(72\)
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for the function ( y=3x^e+2e^x ), find ( \frac{dy}{dx} ) by rules. answ…
\(3e x^{e - 1}+2e^x\)
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1. congress passes a law requiring all states to follow the americans w…
Federal Mandate ### Question 2
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question 7 2 pts which of the following is true of working memory? ∘ wo…
B. Working memory capacity is strongly related to cognitive aptitudes, such as intelligence.
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1. find the average rate of change over the interval -1,0.
To find the average rate of change over the interval \([-1, 0]\), we use the formula for average rate of change: \(\frac{f(b) - f(a)}{b - a}\) where \(a = -1\) and \(b = 0\). From…
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question 9 (1 point) listen in - group favoritism a) is unlikely to res…
c) can disadvantage non - dominant group members. ### Question 10
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in which sentence is the word articulation used in the same way as it i…
B. Her eloquent articulation gave listeners the impression that she was very intelligent. (Note: If the options are labeled differently, adjust the identifier. For example, if the…
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given ( f(x) = 17 - x^2 ), what is the average rate of change in ( f(x)…
\(-6\) (corresponding to the option with value \(-6\))
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which expression can be used to determine the average rate of change in…
\(\frac{f(9)-f(2)}{9 - 2}\) (the fourth option)
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5. encomium : praise :: (a) agility : speed \t\t(c) valedictory : farew…
(c) valedictory : farewell ### Question 6
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part f using the materials you’ve gathered, create your presentation. i…
This is a set of instructions for creating and delivering a presentation, not a question with a specific answer to solve. It mainly involves tasks related to preparing a presentat…
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part e an audio-visual presentation uses pictures and words to present …
1. Pixabay: It is a great resource for high - quality, royalty - free pictures. We can find images related to various topics here to make the slides more visually appealing. 2. Yo…
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how does chekhov’s use of the third - person limited point of view in t…
A. It allows him to reveal the lawyer’s reasons for choosing certain subjects of study during his confinement.
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the height in feet, h, of a model rocket t seconds after launch is give…
The rocket is traveling at a constant rate of 6 feet per second between \( t = 1 \) and \( t = 3 \).
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the graph shows the distance in miles of a runner over x hours. what is…
\(\frac{5}{2}\) (corresponding to the option with \(\frac{5}{2}\))
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principle\tmeaning popular sovereignty\tpower rests with the people. li…
popular sovereignty ### Question 44
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select all of the following businesses that can have limited liability.…
- "C" corporation - Private (close) corporation - Non - profit corporation - "S" corporation - Business - format franchise
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4 multiple answer 6.25 points select all of the following businesses th…
A. Partnership, D. Sole proprietorship
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select all of the following businesses that can have unlimited liabilit…
A. Partnership, D. Sole proprietorship
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blank paper | incorrect purpose, mode, audience | correct purpose, mode…
The discipline here is Arts, and the subfield is Literature (since it involves analyzing a literary work, Shakespeare's *The Tragedy of Macbeth*, and writing a literary analysis e…
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2 multiple choice 6.25 points this type of business uses trademarked ma…
B. Licensing
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a roof, a palace 1 after brett gave shelton the \grand tour,\ they sat …
It explains how ROOF addresses homelessness.
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what type of corporation may be owned by just a few people and does not…
D. private
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how can a blended family help children adjust to the new relationship? …
B. keep the relationship between ex - spouses civil
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multiple choice 20 points if all of the individuals who own a business …
C. general partnership
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directions: write a 3-2-1 response about your learning from today 3: wr…
### 3: Write three things you learned about screen time and social media. 1. Excessive screen time can lead to eye strain and poor sleep quality. 2. Social media use can impact se…
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what is a filibuster? the filibuster refers to continuing debate endles…
C. Limitations on the power of the majority
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which phrase best describes the causes of the development of constituti…
B. Conflicts between the monarchy and Parliament over their relative power
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match the treaty to its description camp david accords algiers accords …
- "required all signatories to pledge not to develop nuclear weapons" $\longleftrightarrow$ Nuclear Non - Proliferation Treaty - "brought the Iran Hostage Crisis to an end" $\long…
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8 multiple choice 1 point how does the playwright use the structure of …
A. By using music and sound effects to create an atmosphere of unease and uncertainty, highlighting Ronald’s growing fear and vulnerability. ### Question 9
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quotas and limitations in 1965, the united states passed the immigratio…
C. abolished immigration quotas based on national origin
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rachel worked in one of her familys two furniture stores. when her gran…
(Assuming the options include "Close Corporation" or similar, the answer would be the option corresponding to a corporation with limited stock sale to non - public, e.g., if optio…
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• asymptote: choose your answer... • f(x)>0: cho choose your answer... …
y = 0
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what benefits come from identifying careers you may not have considered…
B. Expand potential job opportunities
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question determine all intervals on which the graph of ( f ) is decreas…
\((-\infty, - 2)\)
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question determine all intervals on which the graph of ( f ) is increas…
The intervals on which the graph of \( f \) is increasing are \( (-3, 4) \) and \( (7, \infty) \) (Note: The actual intervals may vary slightly depending on the exact coordinates …
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the brave men, living and dead, who struggled here, have consecrated it…
A. To diminish the importance of something
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5. “poetry” is a 1919 poem by marianne moore. the poem highlights an am…
D. "Reading [poetry], however, with a perfect contempt for it, one discovers that there is in / it after all, a place for the genuine."
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question the rate of change in people making use of a specific bus line…
\( t=\boxed{15.819} \)