微積分
極限、導數、最優化與函數性質。
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10 of 10 this quiz: 10 point(s) possible this question: 1 point(s) poss…
\(\frac{343}{6}\)
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for what value of a is the following function continuous at every x? $f…
\(a=\frac{5}{6}\)
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attempt 2: 9 attempts remaining. let ( f(x) = 3x^2 + 5x + 5 ) and let (…
s: (a) \( \boldsymbol{26} \) (b) \( \boldsymbol{23.3} \) (c) \( \boldsymbol{23.03} \) (d) \( \boldsymbol{23} \)
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please answer the questions below to continue: 1) which of the followin…
C) An adaptation of published works cut into a 10 minute performance. ### Question 2
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at what points is the following function continuous? f(x) = \\begin{cas…
A. All real numbers except at \(x=-2\)
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what was one way progressives wanted to regulate railroads? ○ by limiti…
A. by limiting the fees railroads could charge for carrying freight
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the graphs of f (left) and g (right) are given below. use the propertie…
To solve these limit problems, we analyze the graphs of \( f(x) \) and \( g(x) \) to find the necessary limits. Let's go through each problem step by step. ### 1. \( \lim_{x \to 1…
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at what points is the function ( y = (9x - 8)^{\frac{1}{3}} ) continuou…
\((-\infty,\infty)\)
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a function where the rate of change varies is called a ________ functio…
nonlinear (or non - linear)
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for the function f(x)=-2 : (a) a simplified form of the difference quot…
\( 0 \)
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the function f(x) is graphed above. find the equations of the vertical …
\( x=-8 \), \( x = 3 \) (Note: The answer may vary depending on the exact graph. If the correct asymptotes from the graph are different, adjust accordingly. For example, if the as…
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the function f(x) is graphed below. find the equations of the vertical …
\( x = -3 \) \( x = 2 \) \( x = 5 \)
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question 32 (multiple choice worth 3 points) (lesson 7.5 lc) you are dr…
A. block other vehicles moving at normal safe speeds
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2. what is the overall message of the photograph? 3. what is the tea pa…
The Tea Party (Tea Party movement) is a conservative U.S. political movement advocating limited government, fiscal responsibility, and constitutional adherence, emerging in the la…
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use the graph of y = f(x) shown above to answer the following: if you a…
\( f(x) \) is continuous at \( x = - 1 \) (the blank should be filled with "is" if we assume the dropdown is between "is" and "is not", based on the graph analysis).
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question 25 (multiple choice worth 3 points) (lesson 4.5 lc) which of t…
D. Drive at or below the posted speed limit
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let f(x) = \\begin{cases} 2x^2 - 2 & \\text{if } x < 0 \\\\ k & \\text{…
\(-2\)
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question 20 (multiple choice worth 3 points) (lesson 7.2 lc) the daily …
C. six to eight hours
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attempt 1: 10 attempts let ( f(x) = \begin{cases} 3x + 5 & \text{if } x…
\(x=-3\)
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determine the point(s) at which the given function f(x) is continuous. …
\(x = \frac{n\pi}{9}\) (where \(n\) is an integer)
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question 16 (multiple choice worth 3 points) (lesson 6.4 lc) driving at…
B. may impede other vehicles on the road that are traveling at normal and safe speeds
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question 16 (multiple choice worth 3 points) (lesson 4.5 lc) which of t…
D. Drive at or below the posted speed limit
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4. do you think it is important to leave one’s comfort zone or push per…
It is important to leave one's comfort zone or push personal limits. Psychologically, it cultivates a growth mindset and boosts self - confidence. Socially, it expands social circ…
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for the function ( f(x) = -2x^2 ): (a) a simplified form of the differe…
\( -4x - 2h \)
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sort the following attributes into whether they are more characteristic…
### Interest Groups: - more limited in scope - try to influence the policies of government through lobbying ### Political Parties: - run candidates in elections - more interested …
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read the excerpt from act 3 of a doll’s house. nora: in all these eight…
B. The conflict between Nora and Helmer shows how gender roles were defined, as Helmer has complete control over everything, including what the couple discusses.
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read the excerpt from act 1 of a doll’s house. mrs. linde: yes, but you…
B. As a woman, Nora cannot borrow money, but she does so behind her husband’s back in order to save him.
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braic limits section 1.2: problem 3 submission answer preview 32157432 …
\( 893262 \)
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a dissentient opinion came from the aunt. \a most improper story to tel…
B. "You have undermined the effect of years of careful teaching."
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3. some workers, such as nurses, firefighters and police officers, have…
True
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side view of a waterslide la tasa media de cambio de x = 0 a x = 15 se …
### First Part (Comparing Average Rates of Change) # Explanation: ## Step1: Recall Average Rate of Change Formula The average rate of change of a function \( y = f(x) \) from \( x…
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pretar las tasas promedio de cambio side view of a waterslide height (f…
En promedio, la diapositiva cae \( \frac{14}{3} \) pies para cada 1 pies de distancia horizontal. (La opción del primer recuadro)
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1. find the simplified difference quotient for the function ( f(x) = x^…
The simplified difference quotient is \( 2x + h+2 \)
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comparación de tasas de cambio en el gráfico, ignorando si está aumenta…
$x = 2$ y $x = 6$
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ificación de tasas de cambio promedio decrecientes elija dos intervalos…
Los intervalos correctos son: - \(x = 4\) a \(x = 8\) (Nota: Si hubiera otro intervalo, pero en los dados, \(x = 4\) a \(x = 8\) es decreciente. Posiblemente hubo un error en la t…
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encuentra la tasa de cambio promedio. la tasa media de cambio de ( x = …
\(-\frac{1}{2}\) (que corresponde a la opción \(-1/2\))
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abstract cuba is a democratic-centralist state organized according to a…
The main focus is on Cuba's political (democratic - centralist, Marxist - Leninist, single - party) and legal system (composition from historical stages, socialist - oriented feat…
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ular una tasa de cambio promedio a partir de un gráfico ¿cuál es la tas…
\(\frac{1}{8}\)
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during the first 8.00 seconds after a car started moving, its speed inc…
1.63
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write the following logarithmic equation as an exponential equation. do…
\(e^{5x}=8\)
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the population of a certain inner-city area is estimated to be declinin…
519564
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$\\lim_{h \\to 0} \\frac{\\frac{1}{(x+h)^2} - \\frac{1}{x^2}}{h}$
\(-\frac{2}{x^3}\)
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directions: determine the impact that the historical documents had. cha…
(For Magna Carta) The Magna Carta influenced colonists to believe in limited government, rule of law, and that even rulers are subject to legal constraints, shaping their view tha…
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$\\lim_{h \\to 0} \\frac{\\frac{4}{x+3h} - \\frac{4}{x}}{h}$ answer: $\…
\(-\dfrac{12}{x^{2}}\)
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$\\lim_{h \\to 0} \\frac{\\frac{2}{5+h} - \\frac{2}{5}}{h}$ answer: $\\…
\(-\frac{2}{25}\)
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12. -/1 points this is similar to section 2.2 problem 34: use algebraic…
\(8x\)
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$\\lim_{h \\to 0} \\frac{(5+h)^2 - 25}{h} = \\square$
\(10\)
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find the average rate of change of the function over the given interval…
\( 52 \)
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vocabulary connection matching directions: match the principle with the…
1. D. Natural Rights 2. C. Limited Government 3. E. The Rule of Law 4. B. Equality of mankind 5. F. Religious Liberty 6. A. Due Process of Law
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limₓ→₂ \\frac{4x - 8}{x² - 4} = \\boxed{}
\(1\)
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the petition of right (1628) resulted in the powers of the monarchy bei…
A. limited.
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a ______ is a rule, belief or ______ that serves as a ______ for a syst…
### First Blank (Top Definition): A **principle** is a rule, belief or **value** that serves as a **guideline** for a system, such as a government. (Principles are fundamental con…
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question 8 0.2 pts mrs. harmon, the mother of 18-month-old bryce, is co…
B. developmental stages can be useful guidelines, but there is a range of normal development within stages
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tyron is saving up money for a down payment on a motorcycle. he current…
$6.59$ years
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a typical glass of wine contains about 18 grams of alcohol. consider a …
(a): - BAC: \( \boxed{0.90} \) g/100 mL - Multiple Choice: C. It is fortunate that alcohol is not absorbed immediately because this is a lethal concentration of alcohol and is far…
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which of the following did progressives believe would improve governmen…
D. passing measures to increase citizen participation (assuming the options are labeled A, B, C, D in order as given: A. passing measures in support of monopolies, B. passing meas…
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you overhear the following statement \the number of people in poverty a…
\( N'(t) \) is negative and \( N''(t) \) is positive.
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the function p(t) = \\frac{2000t}{41 + 75} gives the population p of de…
- Meaning of answers (first part of c): C. The population is growing, but the rate of growth is slowing down - Long - term: A. The population of deer approaches a maximum of \(\fr…
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which of the following was an omaha platform proposal for labor reform?…
a work day limited to eight hours
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the function ( p(t) = \frac{2000t}{41 + 75} ) gives the population ( p …
For \( p''(45) \approx - 0.072 \) deer/month² (if the function is \( p(t)=\frac{2000t}{4t + 75} \)) For \( p''(90)\approx - 0.015 \) deer/month² (if the function is \( p(t)=\frac{…
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the function $p(t) = \\frac{2000t}{4t + 75}$ gives the population $p$ o…
\( p''(9)\approx - 0.877 \)
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the function $p(t) = \\frac{2000t}{4t + 75}$ gives the population $p$ o…
\( p'(90)\approx\boxed{0.793} \) deer/month
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the function ( p(t) = \frac{2000t}{4t + 75} ) gives the population ( p …
\( p'(45)\approx2.307 \)
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the function p(t)=\\frac{2000t}{4t + 75} gives the population p of deer…
\( 12.174 \)
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when an object is dropped, the distance it falls in t seconds, assuming…
128 ### Part (c)
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given s(t) = t² + 3t, where s(t) is in feet and t is in seconds, find e…
2 ft/s² (Note: The unit for acceleration here, since the position is in feet and time in seconds, the acceleration unit is feet per second squared. But the numerical value is 2.)
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given s(t) = t² + 3t, where s(t) is in feet and t is in seconds, find e…
7
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given ( s(t) = t^2 + 3t ), where ( s(t) ) is in feet and ( t ) is in se…
\( 2 \)
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given s(t) = t² + 3t, where s(t) is in feet and t is in seconds, find e…
\( 2t + 3 \)
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for the function ( y = 2x^5 ), find ( \frac{d^4 y}{dx^4} ). ( \frac{d^4…
$240x$
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find f(x). f(x) = 8x^{-7} f(x) = \\boxed{}
\( -4032x^{-10} \) (or \( \frac{-4032}{x^{10}} \))
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find (\frac{d^2 y}{dx^2}). (y = 3x - 4) (\frac{d^2 y}{dx^2} = square)
\(0\)
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find (\frac{d^2 y}{dx^2}). ( y = \frac{7x^5}{5} - 3x ) (\frac{d^2 y}{dx…
$28x^{3}$
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12 mark for review article i, section 9 of the united states constituti…
D. Limited government
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the due date has passed, but late work is permitted un 7. let $f(x) = 5…
$-45\csc(9x)\cot(9x)$
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match the functions and their derivatives: 1. ( y = sin(x) \tan(x) ) 2.…
1. \( y = \sin(x)\tan(x) \) matches A. \( y'=\sin(x)+\tan(x)\sec(x) \) 2. \( y=\cos(\tan(x)) \) matches C. \( y'=-\frac{\sin(\tan(x))}{\cos^{2}(x)} \) 3. \( y = \tan(x) \) matches…
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cating local maximum and minimum function values use the graph to find …
Over the interval \([-3, -1]\), the local minimum is \(\boldsymbol{0}\). Over the interval \([-1, 0]\), the local maximum is \(\boldsymbol{5}\) (assuming the point's y - coordinat…
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sketch the graph of the following function and use it to answer the fol…
$19$ ### Part b: $\boldsymbol{\lim_{x \to -2^+} f(x)}$
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find the limit of the function: \\(\\lim_{x \\to 0} (5x(x - 9)) = \\)
\( 0 \)
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3. submit answer practice similar attempt 1: 10 attempts remaining. fin…
\( 1 \)
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attempt 1: 10 attempts remaining. find the limit of the function at the…
\( 346 \)
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which of the following functions is the only one that is continuous ove…
A. $e^{x^2}$
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attempt 1: 10 attempts remaining. which of the following functions is t…
A. \( e^{x^2} \)
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analyzing graphs which interval for the graphed function has a local mi…
\([2, 4]\)
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the slope of the curve at point b ○ is equal to the slope at point a. ○…
B. is less than the slope at point A.
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what is the local maximum over the interval -3, 1.5 for the graphed fun…
56
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analyzing graphs which statement is true about the local minimum of the…
Over the interval \([4, 7]\), the local minimum is \(-7\).
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the figure above shows the relationship between the time a student spen…
1/20 (the option with 1/20)
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a view on u.s. book bans: time to fight back - joyce miller | april 202…
### 1. Synopsis The article "A View on U.S. book bans: time to fight back" by Joyce Miller (April 2023) discusses the surge in book censorship in the U.S., driven by an organized …
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use the graph of the function f to state the value of each limit, if it…
s: (a) $\boldsymbol{-4}$ (b) $\boldsymbol{1}$ (c) $\boldsymbol{DNE}$
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multiple choice question which of the following is true of school - bas…
A. They provide an avenue to reach all people within the community.
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the graph of the function ( f(x) ) is shown below. state all values of …
\( x=-3 \)
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use the graph of the function ( f(x) ) to fill in answers to the questi…
On the interval \([3, 8]\) the function is \(\boldsymbol{\text{increasing}}\) at \(\boldsymbol{\text{an increasing}}\) rate.
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question the table below shows values for some polynomial function h at…
Over successive intervals, the function's **first differences (slopes)** are **increasing (with a constant second difference of 36)**. This evidence is most consistent with the in…
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some experts believe ai will soon get much smarter, reaching a level ca…
AGI (Artificial General Intelligence) is AI that can learn anything a human can, not just one job. Narrow AI is limited to performing a single job, while AGI has the ability to le…
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1 - properties of exponents and order of operations score on last attem…
\( \frac{w^{15}}{n^{7}j^{4}} \) (or in the required format with ^: \( w^15/(n^7j^4) \))
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1 - properties of exponents and order of operations score on last attem…
\(3.125\) ### Part b (already solved as 0, verification below)
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when a new product is advertised, more and more people try it. however,…
(First Sub - Question): 6. The graph with the increasing curve that becomes less steep (Graph 6)
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if a country were to place a limit on the number of cars that could be …
C) Quota ### Second Question (Urban Housing)
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3. determine the vertical asymptotes of each of the following functions…
### Part (i): Function \( f(x) = \frac{x - 1}{(x + 2)^2} \) #### Step 1: Find Vertical Asymptotes Vertical asymptotes occur where the denominator is zero (and numerator is non - z…