Calculus
Limits, derivatives, optimization, and behavior of functions.
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the function $f(x)$ is graphed below. what is true about the graph on t…
It is positive and increasing
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select the correct answer from each drop - down menu. the function ( f(…
As \(x\) approaches positive infinity, \(m(x)\) approaches \(+\infty\). As \(x\) approaches negative infinity, \(m(x)\) approaches \(-\infty\).
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for the function ( f(x)=x^{2}+x + 3 ), find the slope of the secant lin…
\(7\)
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find the limit, if it exists. (if an answer does not exist, enter dne.)…
\(\infty\)
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use the graph to determine (a) open intervals on which the function is …
(a) A. The function is increasing on the interval\((-\infty,\infty)\) (b) B. The function is never decreasing. (c) B. The function is never constant.
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differentiate the following function. $f(x)=\\sqrt{e^{23x}-12}$ $\\frac…
\(\frac{23e^{23x}}{2\sqrt{e^{23x}-12}}\)
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complete the sentence below. suppose that the graph of a function f is …
horizontal; to the right
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determine the period.
\(7\)
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identify the inflection points and local maxima and minima of the funct…
A. The inflection point(s) is/are \((- 5\sqrt{3},\frac{6}{11}(50)^{\frac{2}{3}}),(5\sqrt{3},\frac{6}{11}(50)^{\frac{2}{3}})\)
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use the given information to find the exact value of a. sin 2θ, b. cos …
\(-\frac{120}{119}\)
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most youths who join gangs have already been involved in delinquency an…
using drugs, skipping school, being arrested
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use the graph of ( y = f(x) ) to graph the function ( g(x)=\frac{1}{2} …
A.
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write the following expression as the sine, cosine, or tangent of a dou…
C. \(2\cos^{2}\frac{7\pi}{8}-1 = \cos\frac{7\pi}{4}\)
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the ___ of society received the benefit of most of the laws in hammurab…
For the first question: A. elites For the second question: D. codified the laws for everyone
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question an island population of 20,000, grows by 5% each year, compoun…
25680
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question if ( f(x)=-4 e^{x} ), find ( f(3) ) rounded to the nearest ten…
\(-80.3\)
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question if ( f(x)=7 e^{x} ), find which is the value of ( f(-3) ) roun…
0.35
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what characterized the economic opportunities for women during this per…
1. Limited to domestic service or teaching 2. Bank closures and devalued bank notes 3. As a fresh start for those willing to venture
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how did transportation innovations impact market relationships? * they …
- First question: They dramatically expanded manufacturing and agricultural production. - Second question: Shift towards middle and lower - class participation. - Third question: …
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evaluate $e^{-1.92}$. round your answer to five decimal places. provide…
\(0.14641\)
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question #9 what might have been the long-term effect of japans closed …
Japan's closed - country policy led to technological and military backwardness compared to the West, restricted economic growth through limited trade, preserved traditional cultur…
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in a capitalist system, the government should its role in the economy. …
limit
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in a laissez-faire economy, the government plays a limited role. indefi…
limited role.
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why did governments authorize the creation of joint - stock companies? …
to limit the possibility of risk from trade
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question which of the following is considered to be one of the shortcom…
They often have politically motivated loopholes.
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question which of the following is considered a shortcoming of command …
They provide no incentive for firms to do better than the bare minimum of staying within the pollution limits that the government sets.
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the expression ( 12 sin ^ { 2 } x - 12 ) is equivalent to answer ( - 12…
\(-12\cos^{2}x\)
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question the expression 6 + 6 cot²x is equivalent to answer 6 sin²x - 6…
\(6\csc^{2}x\)
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question the expression 12 - 12 csc² x is equivalent to answer -12 sin²…
\(-12\cot^{2}x\)
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question determine the equation of the midline of the following graph. …
\(y = 0\)
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fall 2025 0 pm graph (sin/cos) trig graph (sin/cos) graph (sin/cos) gra…
The amplitude is \(1\)
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match each business type with its main strength for a new business owne…
Franchise - Operates with a proven model for success and brand recognition Partnership - Financial duties and resources are shared among owners Nonprofit Organization - Qualifies …
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for the function ( f(x) = x^{2} - 9 ), find the slope of the secant lin…
\(-8\)
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why must public corporations follow more government regulations than pr…
To protect public investors from fraud and illegal financial practices
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why does a competitive firm stop hiring new workers at the point where …
Hiring more workers past this point would cause the firm to lose profit.
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why might an entrepreneur choose a limited partnership for a business t…
To offer investors protection from personal liability for business debts
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drag and drop the words into the correct locations. (1 point) in a gene…
unlimited; responsibility
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question for the function ( f(x)=x^{2}+4x + 9 ), find the slope of the …
\(-5\)
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for the function ( f(x)=-x^{2}-3x + 6 ), find the slope of the secant l…
\(-1\)
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question for the function ( f(x)=x^{2}+5 ), find the slope of the secan…
\(-5\)
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slope of secant lines score: 2/8 penalty: none show examples question f…
\(4\)
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secant lines 1/8 penalty: none question for the function ( f(x)=x^{2}+4…
\(-1\)
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for the function ( f(x)=x^{2}-8 ), find the slope of the secant line be…
\(1\)
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antiderivatives: problem 3 (1 point) find the derivative of ( f(x)=x si…
\(x\cos(x)\)
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find the limit, if it exists. (if an answer does not exist, enter dne.)…
\(3\)
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antiderivatives: problem 1 (1 point) calculate the following antideriva…
(a) \(5\ln|x|\) (b) \(4\cos x + 6\sin x\) (c) \(-9e^{x}\)
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a highway engineer wants to estimate the maximum number of cars that ca…
The speed at which the greatest number of cars can travel safely on the road is \(s = 23\) units of speed (assuming the units of \(s\) are consistent with the problem's context).
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optimization: problem 3 (1 point) a highway engineer wants to estimate …
\(22\)
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optimization: problem 2 (1 point) a car rental agency rents 200 cars pe…
Rate \( = 35\) dollars/day, Maximum income \(=6125\) dollars/day
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optimization: problem 1 (1 point) for some positive constant ( c ), a p…
For maximizing the temperature change: \(D = C\) For maximizing the sensitivity: \(D=\frac{C}{2}\)
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shades of meaning metaphors in the passage eugenie clark: swimming with…
1. easy 2. sparkly 3. without end or limit 4. very loud 5. full of people 6. hot 7. messy and chaotic 8. very different 9. full of fast - moving activity
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antiderivatives: problem 3 (1 point) find the derivative of ( f(x)=x si…
\(x\cos(x)\)
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antiderivatives: problem 1 (1 point) calculate the following antideriva…
(a) $3\ln|x|$ (b) $2\cos x + 9\sin x$ (c) $-9e^{x}$
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fill in each blank so that the resulting statement is true. if $(x_1,f(…
C. \(\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}\)
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optimization: problem 3 (1 point) a traffic fanatic wants to estimate t…
\(22\)
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optimization: problem 2 (1 point) a car rental agency rents 220 cars pe…
Rate = \(37.5\) dollars/day Maximum Income = \(7031.25\) dollars/day
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for some positive constant c, a patients temperature change, t, due to …
For the temperature - change maximization: \(D = C\). For the sensitivity maximization: \(D=\frac{C}{2}\).
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comparisons quick check which sentence gives an example of a simile? se…
- After the rain, the beach was as hot and humid as the inside of a pressure cooker. - When Andro picked up the calculus textbook, it felt like a 600 - page slab of concrete.
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correctly identify what the 13th, 14th, and 15th amendments of the us c…
13th Amendment: Abolished the institution of slavery in the United States. 14th Amendment: Said all people born in the United States were citizens and provided equal protection of…
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at what points is the function ( y=\frac{cos x}{3x} ) continuous? descr…
\((-\infty,0)\cup(0,\infty)\)
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limiting contact with foreigners was the main goal of chinese corruptio…
B. isolationism.
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during the period of isolationism, why were the chinese successful in i…
Chinese goods were in high demand.
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what did the religious wars in 16th - century france have in common wit…
B. Both resulted in Catholic leaders agreeing to limited tolerance of Protestantism.
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elena is making an open - top box by cutting squares out of the corners…
a. \(0 < x<5.5\) b. \(x\approx2\) c. \(0 < x<2\) d. The values of \(x\) for which the volume of the box is \(140\) cubic inches.
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which issue are teen parents more likely to experience than adult paren…
low - paying jobs
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for the following exercises, the given limit represents the derivative …
\(f(x)=2x^{2}-x\) and \(a = 3\)
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find the average rate of change of the function ( f(x)=x^{2}+2x ) from …
\(6\)
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10. se lanza una pelota al aire desde el borde de un acantilado de 48 p…
(3) \( 2,5 < x < 5,5 \)
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9. basándose en el gráfico a continuación, determina un intervalo donde…
El intervalo donde el gráfico es creciente \( y \) es de \( 20 \) a \( 40 \) consultores.
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ms. valdezs science class is investigating newtons law of cooling. vale…
The average rate of change from minute 0 to minute 5 is $-6^{\circ}C$ per minute. The average rate of change from minute 15 to minute 20 is $-1^{\circ}C$ per minute. These average…
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for the following exercises, the given limit represents the derivative …
1. \(f(x)=x^{\frac{2}{3}}\) 2. \(a = 1\)
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8 multiple choice 2 points in ancient greece, who was eligible for citi…
8. Free male property owners 9. - Modern Era: Citizenship broadened with universal rights and responsibilities - Medieval Europe: Citizenship tied to local communities and feudal …
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a rectangular storage container must have a volume of 1,728 cubic inche…
The surface area that will minimize the production cost is \(864\) square inches. The total cost for the materials will be \(\$648\).
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question 10 of 10 which of the following statements accurately describe…
C. Businesses are generally free of government ownership and control.
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7. you can run at a speed of 6 mph and swim at a speed of 3 mph and are…
You should run approximately \(4-\frac{\sqrt{3}}{3}\approx3.42\) miles west.
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identify the trigonometric graph. question 2 2 pts
\(\cot x\)
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breaking up the power of the federal government into branches helps ens…
Separation of Power & Checks and Balances
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this federal governments branches must stay within their limits by the …
Checks and Balances & Separation of Power
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the custom halloween company purchases a new sewing machine to replace …
The impact of capital investments
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question 2 of 5 the short story \the yellow wallpaper\ is told from whi…
C. First-person
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question 8 of 10 a third - person limited narrator and a third - person…
C. A third-person limited narrator has insight into only one character, while a third-person omniscient narrator has insight into all the characters.
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question 6 of 10 how is the first - person narrator limited in a story?…
D. The narrator might be mistaken or biased about elements of the story.
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question 4 of 10 which point of view is used in this passage? lucy fuss…
I". In second - person, the narrator would use "you". In third - person limited, the narrator would only know the thoughts of one character (usually the main character). Here, sin…
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question 1 of 10 which kind of narrator knows the thoughts and sees the…
C. Third-person omniscient
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question 1 of 6 working with a broker or brokerage firm is select a res…
recommended but optional for making investments.
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what is an artistic medium? a. an informal saying that is more appropri…
D. The means by which something is communicated, or the material something is created from
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the graph of a function ( f ) is shown below. find ( f(2) ).
\(f(2)=4\)
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48. which of these would not be protected by the first amendment? a. cr…
48. D. damaging property in a protest march 49. D. to keep a balance of power and rights 50. A. the basic freedoms of all people
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watch the video and then answer the question given below click here to …
\(1.31\)
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how does the concept of \finite resources\ impact the management of sha…
It requires careful management to prevent depletion.
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match each equation with a graph above $10^{x}$ a. red (r) $\\log(x)$ b…
1. \(10^{x}\): c. blue (B) 2. \(\log(x)\): d. green (G) 3. \(e^{x}\): a. red (R) 4. \(\ln(x)\): b. black (K)
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9. the setting of clarissas story is a key component of the plot. how i…
integral
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6 a body of armed men besides mr. oakhurst, who was know was intended, …
B. The passage focuses upon the perceptions of Mr. John Oakhurst and his view of events.
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4. a rectangular open - topped aquarium is to have a square base and vo…
The base has a side length of \(4\) meters and the height is \(\frac{1}{2}\) meter.
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as part of the new deal coalition, urban voters helped roosevelt and th…
1. - Appointees: Frances Perkins. - Gains: Jobs in work - relief, more awareness of women's issues. - Problems: Wage discrimination, limited by gender roles. 2. - Appointees: Mary…
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write the following expression as the sine, cosine, or tangent of a dou…
A. \(2\sin157.5^{\circ}\cos157.5^{\circ}=\sin315^{\circ}\)
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3. if 12 ft² of material is available to make a box with square base an…
The largest possible volume of the box is \(4\space ft^{3}\).
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use the given information to find the exact value of each of the follow…
\(\frac{24}{7}\)
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use the given information to find the exact value of each of the follow…
\(\frac{7}{25}\)
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use the given information to find the exact value of each of the follow…
\(\frac{24}{25}\)