Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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a heavy rope, 60 ft long, weighs 0.7 lb/ft and hangs over the edge of a…
(a) The work done in pulling the entire rope to the top of the building: Riemann sum: $\lim_{n ightarrow\infty}\sum_{i = 1}^{n}(0.7x_i)\Delta x$ Integral: $\int_{0}^{60}0.7x dx$ V…
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you have only one attempt for this question. the gravitational force ex…
Yes
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you have only one attempt for this question. it is true that if $f$ is …
no
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consider the functions and (f(x)=\begin{cases}2&0leq x\\0&x < 0end{case…
(a) yes (b) no (c) yes (d) no (e) yes (f) no (g) yes
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find the value of the constant c that makes the following function cont…
$\frac{3}{14}$
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which of the following functions ( f ) has a removable discontinuity at…
(a) The discontinuity is removable. $g(x)=x + 1$ (b) The discontinuity is removable. $g(x)=x^{2}+2x$ (c) The discontinuity is not removable. $g(x)=$ONE
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find the values of a and b that make f continuous everywhere. f(x)=\beg…
\(a=\frac{7}{2}\), \(b=\frac{13}{2}\)
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13. -/6.25 points for what value of the constant c is the function f co…
$\frac{7}{4}$
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part 1 of 2 note that f is continuous on (-∞, 4) and (4, ∞). for the fu…
Left - hand limit: \(16a + 12\); Right - hand limit: \(64 - 4c\)
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use continuity to evaluate the limit. $lim_{x ightarrowpi}4sin(x + sin …
0
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10. - / 6.25 points explain, using the theorems, why the function is co…
1. B. $F(x)$ is a rational function, so it is continuous at every number in its domain. 2. $(-\infty,\infty)$
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suppose f and g are continuous functions such that g(2) = 5 and lim_{x→…
3
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which of the following are continuous functions? (select all that apply…
The temperature at a specific location as a function of time. The temperature at a specific time as a function of the distance due west from New York City. The altitude above sea …
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(b) locate the discontinuities of t. (enter your answers as a comma - s…
\(t = 7,10,16,19\) jump Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between \(t = 7\) and \(t = 10\) and between \(t = 16\) and \(t = 19\) …
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from the graph of f, state each x - value at which f is discontinuous. …
Without the actual graph details, we cannot provide specific \(x\) - values and continuity types. But the process to find the \(x\) - values of discontinuity and their left/right …
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the graph of a function is given. (a) find all the local maximum and mi…
local maximum (x,y)=( - 2,2) (smaller x - value) local maximum (x,y)=(2,0) (larger x - value) local minimum (x,y)=( - 4,-2) (smaller x - value) local minimum (x,y)=(0,-3) (larger …
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from the graph of f, state each x - value at which f is discontinuous. …
\(x=-2\), continuous from the right \(x = 2\), continuous from the left \(x=4\), continuous from the left
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1. - / 6.25 points if f is continuous on (-∞, ∞), what can you say abou…
none of these
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the graph of a function is given. (a) find all the local maximum and mi…
local maximum $(x,y)=(0, 3)$ local minimum $(x,y)=( - 2,-1)$ (smaller x - value) local minimum $(x,y)=(2,2)$ (larger x - value)
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let $f(x)=\\begin{cases}x^{2}+1&\\text{if }x < 2\\\\(x - 3)^{2}&\\text{…
(a) $\lim_{x ightarrow2^{-}}f(x)=5$ $\lim_{x ightarrow2^{+}}f(x)=1$ (b) No (c) To sketch the graph: - For $y=x^{2}+1$ when $x < 2$, it is a parabola opening upwards with vertex at…
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25. - / 3.84 points evaluate the limit, if it exists. (if an answer doe…
$\frac{1}{6}$
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chief justice earl warren stated, separate educational facilities are i…
By its very definition, it cannot be equal.
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24. - / 3.84 points find the number a such that the limit exists. $lim_…
$a = 15$ $-1$
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22. 0 / 3.84 points find the limit. (if an answer does not exist, enter…
6
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22. - / 3.84 points find the limit. (if an answer does not exist, enter…
6
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g(x) = \\begin{cases}x & \\text{if }x < 1 \\\\ 4 & \\text{if }x = 1 \\\…
(i) 1 (ii) 1 (iii) 4 (iv) - 2 (v) 0 (vi) DNE
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let $g(x)=\frac{x^{2}+x - 2}{|x - 1|}$. (a) find the following limits. …
(i) 3 (ii) -3 (b) No (c) To sketch the graph: - For \(x>1\), \(g(x)=x + 2\), which is a straight - line with slope \(m = 1\) and \(y\) - intercept \(y=2\) (but we consider the par…
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now, we factor and cancel common factors. lim(x→ - 4⁻) (3x + 12)/-(x + …
$-3$
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part 1 of 5 recall that $|x + 4|=\begin{cases}x + 4&xgeq - 4\\-(x + 4)&…
\(-3\)
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find the limit, if it exists. (if an answer does not exist, enter dne.)…
DNE
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if (3x - 6leq f(x)leq x^{2}-3x + 3) for (xgeq0), find (lim_{x ightarrow…
$3$
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authoritarian and democratic governments have different views on the li…
- In Australia: Respect for the rule of law - In Belarus: Manipulation of the rule of law - In Uruguay: Respect for the rule of law - In Myanmar: Manipulation of the rule of law
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16. - / 3.84 points evaluate the limit, if it exists. (if an answer doe…
$-\frac{24}{25}$
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evaluate the limit, if it exists. (if an answer does not exist, enter d…
\(\frac{1}{250}\)
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evaluate the limit, if it exists. (if an answer does not exist, enter d…
$\frac{1}{8}$
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in the netherlands, the government is organized according to the countr…
1. the three branches 2. constitution 3. elected 4. democratic
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8. - / 3.84 points evaluate the limit, if it exists. (if an answer does…
DNE
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7. -/3.84 points evaluate the limit, if it exists. (if an answer does n…
$-2$
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brunei is a monarchy led by a king, called the sultan. since bruneis ro…
1. state of emergency 2. the long - standing role of the royal family; a high standard of living 3. an authoritarian - like
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read about the government of brunei darussalam, known as brunei. then f…
sultan
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(a) what is wrong with the following equation? \\(\\frac{x^{2}+x - 42}{…
(a) The left - hand side is not defined for $x = 6$, but the right - hand side is. (b) Since the equation holds for all $x eq6$, it follows that both sides of the equation approa…
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evaluate the limit using the appropriate limit law(s). (if an answer do…
390
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how did the decision in regents of the university of california v. bakk…
It protected rights by ending quotas but allowing race to be an admissions factor.
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evaluate the limit using the appropriate limit law(s). (if an answer do…
\(\frac{8}{15}\)
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democratic governments who has power? the ability to make people do thi…
C. Government officials must operate within the law. D. Citizens have a choice about who governs them.
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given that lim_{x\\to1} f(x)=1 lim_{x\\to1} g(x)= - 5 lim_{x\\to1} h(x)…
(a) - 19 (b) - 125 (c) 1 (d) - 1 (e) DNE (f) 0
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multiple select question select all that apply what three things should…
- Narrow your topic so that you cover no more than one or two points. - Structure your topic so that it captures your audience's interest. - Develop your topic in a creative way t…
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multiple select question select all that apply focusing a speech topic …
- being sensitive to time limits - narrowing the topic without becoming too limited
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which of the following states the preferred - position doctrine? a pers…
B. Laws limiting certain freedoms essential to a democracy are presumed unconstitutional unless proven to be necessary.
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0.4.3 - reading: an overview of american government checks and balances…
Declares the law unconstitutional and strikes it down
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to prevent any one branch of government from becoming too powerful, the…
D. It prevents one branch from gaining too much power
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which of the following limits government action setting forth what the …
C. Civil liberties
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what were the effects of the plessy v. ferguson decision? choose three …
1. It allowed the policy of "separate but equal" to continue. 2. It limited the rights of African American citizens. 3. It established a new precedent in declaring the law constit…
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the constitution creates a federal government to address national issue…
1. The Constitution creates a federal government to address national issues and state governments to manage local issues, so the federal government can reflect local needs through…
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some opponents of the constitution worried that separating powers would…
The branches are given the power to check, or resist, one another.
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some opponents of the constitution worried that requiring the federal g…
The federal government only has specifically defined powers, while state governments retain broad powers over matters in their states.
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according to the writers of the federalist papers, one way to avoid an …
C. Since government leaders serve limited terms in office and have to face reelection, people can hold them accountable for their actions. D. Since the government gets its power f…
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before the constitutional convention, james madison and alexander hamil…
It places limits on people's selfishness so they can behave justly.
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in hunters in the snow, bruegel unifies the composition through a visib…
C. the repetition of a limited color palette
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in the field of learning science, psychologists and educators are colla…
- Yash: distributed practice - Jaleesa: retrieval - based learning - Miguel: elaborative interrogation
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e of dr. jekyll and mr. hyde, chapter 9 and remember that anizing is a …
1. The description of the oversized and ill - fitting clothes makes the creature seem strange and out of place, building suspense. 2. The reference to something abnormal in the es…
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dr. jekyll and mr. hyde, chapter 9 member that ng is a strategy that he…
It builds suspense and a sense of urgency.
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what did the court rule about roes rights? roe had a constitutional rig…
A. Roe had a constitutional right to privacy. B. Roe's right to an abortion came from the right to privacy.
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find the average value $f_{ave}$ of the function $f$ on the given inter…
$f_{ave}=29$ $g_{ave}=\frac{14}{\pi}$
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10. consider the graph of y = f(x) provided in figure 1.3.10. a. on the…
a. Sketch the secant and tangent lines as described above. b. The average rate of change on \([-3,-1]\) is \(\frac{f(-1)-f(-3)}{2}\), and on \([0,2]\) is \(\frac{f(2)-f(0)}{2}\). …
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ww2: problem 4 (1 point) find the long run behavior of each of the foll…
(a) $0$ (b) $0$ (c) $1.8$
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(1 point) let f(x)=\begin{cases}11&\text{if }x < - 1\\-x + 10&\text{if …
1. $11$ 2. $11$ 3. $11$ 4. $2$ 5. $10$ 6. DNE
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federal law allows prisons to use solitary confinement. a state passes …
1. For the solitary - confinement scenario: State 2. For the minimum - wage scenario: State 3. For the voting - rights scenario: State 4. For the car - mileage scenario: Federal 5…
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based on the passage above, decide which level of government would prev…
1. Federal 2. State 3. State 4. Federal 5. State
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some function g is graphed below. fill in the blanks in the following s…
DNE
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which is an example of a limited monarchy? a queen wants to declare war…
A. A queen wants to declare war on another country. However, only the representative body is allowed to make major decisions for the country. The queen can only ask the representa…
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which is an example of a direct democracy? this nation has no elected o…
The nation where all members over the age of 25 gather to discuss rules and laws until everybody is satisfied.
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a direct democracy has no single leader. political decisions are made b…
a presidential system
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the question below. a direct democracy has no single leader. political …
a limited monarchy
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read the descriptions of some different types of democratic governments…
a parliamentary system
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a direct democracy has no single leader. political decisions are made b…
a limited monarchy
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ivan works for an automobile factory that exports cars around the world…
a command economy with heavy government regulation.
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suppose that the function f is defined, for all real numbers, as follow…
No
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determine the domain on which the following function is increasing.
The function is increasing on the interval $[0,3]$.
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practice it tendency to perceive objects as limited to the customary fu…
A. functional fixedness
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what field did thabit ibn qurra contribute to? medicine literature musi…
What field did Thabit Ibn Qurra contribute to? Astronomy and Mathematics al Khwarizmi's work laid the foundation for which mathematical field? Algebra
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answer attempt 2 out of 2 ∞ -∞ dne undefined $\\lim_{x\\to2^{-}}f(x)=\\…
\(\lim_{x\to2^{-}}f(x)=2\), \(\lim_{x\to2^{+}}f(x)=2\), \(\lim_{x\to2}f(x)=2\), \(f(2)=\text{undefined}\)
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greece is in southeastern europe and consists of a mainland and an arch…
1. Limited agricultural opportunities, prompting colonization and trade. 2. Separated city - states, causing cultural and political divisions and rivalries.
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use a computer system or graphing calculator to plot a slope field and/…
1. B. The differential equation has no stable critical points 2. B. The differential equation has no unstable critical points that are not semistable 3. A. The differential equati…
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use a computer system or graphing calculator to plot a slope field and/…
B. The differential equation has no stable critical points B. The differential equation has no unstable critical points that are not semistable
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use a computer system or graphing calculator to plot a slope field and/…
B. The differential equation has no stable critical points
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use a computer system or graphing calculator to plot a slope field and/…
C. Option Text
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what is one negative effect of purging voter rolls? it can mistakenly r…
It can mistakenly remove voters who should be enfranchised.
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the differential equation $\frac{dx}{dt}=\frac{1}{16}x(16 - x)-h$ model…
The equation relating the value of critical - point(s) $c$ to $h$ is $c^{2}-16c + 16h=0$. The differential equation has two critical points for $h < 4$, one critical point for $h …
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what is the difference between packing and cracking in voting districts…
Packing is the process of concentrating certain voters into one or two districts, while cracking is the process of spreading them out to dilute their impact.
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the differential equation $\frac{dx}{dt}=\frac{1}{16}x(16 - x)-h$ model…
$c^{2}-16c + 16h=0$
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the differential equation $\frac{dx}{dt}=\frac{1}{16}x(16 - x)-h$ model…
The differential equation has two critical points for $h<4$, one critical point for $h = 4$, and no critical points for $h>4$.
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consider the two equations below, each having the critical points a, b,…
The option that shows two funnels and a spout for the equation $\frac{dx}{dt}=(x - a)(x - b)(x - c)$ (where $b$ is the stable critical - point) should be chosen. Without seeing th…
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consider the two equations below, each having the critical points a, b,…
A. Stable, Unstable, Stable at $x = a,x = b,x = c$ respectively with $x'<0$ for $x\in(-\infty,a)\cup(c,\infty)$ and $x'>0$ for $x\in(a,b)\cup(b,c)$
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its a good idea to take the quiz only after you are confident in your u…
to promote the general Welfare
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analyzing characters the smaller girl created a diversion by beginning …
What evidence supports this characterization of the bachelor? He feels like she will repeat the line excessively.
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the smaller girl created a diversion by beginning to recite \on the roa…
Which word best describes the smaller girl's character? annoying What evidence supports this characterization of the smaller girl? She repeats a line over and over. Which word bes…
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the following is the graph of a function f = f(x). find the x - value o…
\(x = 0.5\) (smallest value) \(x = 2.5\) (largest value)
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the following is the graph of a function (y = f(x)). where is the graph…
0 < x<0.5, 1.5 < x<2, 3 < x<3.5
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the following is the graph of a function f = f(x). where is the graph d…
$1 < x<1.5$, $2.5 < x<3$