Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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a. find the slant asymptote of the graph of the rational function. b. f…
When \(x=-8\), \(f(x)=-\frac{9}{7}\); when \(x = - 7\), \(f(x)=-\frac{8}{13}\); when \(x=-3\), \(f(x)=\frac{4}{3}\); when \(x = 4\), \(f(x)=-15\); when \(x = 9\), \(f(x)=40\)
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a. find the slant asymptote of the graph of the rational function. b. f…
The slant asymptote is \(y=x + 11\) and there is no horizontal asymptote (Option B for the horizontal asymptote part).
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differentiate the function. $h(x) = (x - 5)(5x + 15)$ $h(x) = \\square$…
\(h'(x)=10x - 10\) \(g'(t)=-\frac{3}{2}t^{-7/4}\)
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a. find the slant asymptote of the graph of the rational function. b. f…
The slant asymptote is \(y=x + 11\)
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a. find the slant asymptote of the graph of the rational function. b. f…
A. The \(x\) - intercept(s) is/are \(-6,1\)
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a. find the slant asymptote of the graph of the rational function. b. f…
A. The y - intercept is \(1\)
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a. find the slant asymptote of the graph of the rational function. b. f…
A. The y - intercept is \(\frac{4}{3}\)
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a. find the slant asymptote of the graph of the rational function. b. f…
a. A. The equation of the slant asymptote is \(y=x + 11\) b. neither \(y\) - axis symmetry nor origin symmetry
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a. find the slant asymptote of the graph of the rational function. b. f…
The slant asymptote is \(y=x + 11\).
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follow the seven step strategy to graph the following rational function…
When \(x=-3\), \(f(x)=\frac{20}{39}\); when \(x = - 1\), \(f(x)=-\frac{2}{9}\); when \(x=\frac{1}{2}\), \(f(x)=\frac{11}{12}\); when \(x = 5\), \(f(x)=\frac{76}{15}\); when \(x = …
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consider the piecewise differential equation $x + 2x + 5x = \\begin{cas…
\(x''+2x'+5x = 17\cos(2t)-17\cos(2t)u(t - 2\pi)\)
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follow the seven step strategy to graph the following rational function…
A. The equation(s) of the horizontal asymptote(s) is/are \(y = \frac{3}{2}\)
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read the excerpt from the crisis, number ii, by thomas paine. \the char…
It contains sentences with varied structures.
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follow the seven step strategy to graph the following rational function…
- Symmetry: neither \(y\) - axis symmetry nor origin symmetry. - \(y\) - intercept: B. There is no \(y\) - intercept. - \(x\) - intercept: A. The \(x\) - intercept(s) is/are \(1,-…
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follow the seven step strategy to graph the following rational function…
- Y - intercept: B. There is no y - intercept. - X - intercept: A. The x - intercept(s) is/are \(1,-\frac{4}{3}\)
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follow the seven step strategy to graph the following rational function…
- Symmetry: Neither \(y -\)axis symmetry nor origin symmetry. - \(y -\)intercept: There is no \(y -\)intercept. - \(x -\)intercept: \(x=\frac{-1+\sqrt{73}}{6},\frac{-1 - \sqrt{73}…
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follow the seven step strategy to graph the following rational function…
B. There is no y - intercept.
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follow the seven step strategy to graph the following rational function…
neither \(y -\)axis symmetry nor origin symmetry
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use transformations of $f(x) = \\frac{1}{x^2}$ to graph $g(x) = \\frac{…
Assuming the graph with the vertex at \((-2,-7)\) (after applying left - shift by 2 units and down - shift by 7 units) is the correct one. Without seeing the exact visual details …
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what is one effect of the diaspora that can be observed in the world to…
Jewish people have retained their cultural identity despite being scattered throughout the world.
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you manage a hardware store that sells gas - powered generators. based …
D. To protect consumers from being charged too much for goods and services during emergency situations
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12 multiple choice 5 points the failure of what document led to the pas…
Magna Carta
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comparing market structures directions: drag the characteristics of the…
| Market Structure | Number of Sellers | Type of Product | Sellers’ Control over Prices | Barriers to Enter or Exit | |------------------------|-------------------|---------------…
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question 22 newton’s law of cooling can be represented by the equation …
Approximately \( 5.4 \) minutes (or more precisely \( \approx5.4 \) depending on rounding, the exact calculation gives around \( 5.4 \))
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understanding scarcity which of these statements demonstrate the econom…
A. All useful resources are limited in their supply C. The wants and needs of people are unlimited. D. Resources are scarce, which explains why we are willing to pay for them. G. …
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suppose g(x) is a transformation of f(x) such that f(x) translates left…
\( g(x)=-\frac{1}{4}\sqrt{x + 8}-12 \)
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use the aleks calculator to evaluate each expression. round your answer…
\(3.2^{1.5}\approx5.724\) \((\frac{5}{7})^{-0.65}\approx1.273\)
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find all angles (in degrees) that satisfy the following equation. $2\\s…
A. The solution set is $\{x|x=240^\circ + k360^\circ \text{ or } x=300^\circ + k360^\circ\}$, where k is any integer.
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find all angles (in degrees) that satisfy the following equation. 2 cos…
A. The solution set is $\{ u \mid u = 30^\circ + k360^\circ \text{ or } u = 330^\circ + k360^\circ \}$, where k is any integer.
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3. movies an online dvd rental company charges $15 a month for unlimite…
The total paid is proportional to the number of months. The relationship follows \( y = 15x \), a proportional function whose graph passes through the origin with a constant ratio…
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what does the term new woman mean? (1 point) a woman who has recently b…
a woman who resists limitations of society
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question 22 newton’s law of cooling can be represented by the equation …
\( 5.4 \) (approximate value, depending on the level of precision in calculation steps)
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question 13 · 1 point solve $5e^{6x} = 23$. round your answer to the ne…
0.3
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question 13 - 1 point solve ( 5e^{6x} = 23 ). round your answer to the …
4.6
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the birth of the constitution separation of powers challenges 1. define…
1. Separation of Powers: Division of government into legislative, executive, and judicial branches with distinct roles. Checks and Balances: System where each branch limits others…
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question 11 · 1 point what is the domain of ( g(x) = log(x - x^2) )? gi…
$(0, 1)$
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question 10 · 1 point which functions have graphs with no horizontal as…
$f(x)=\frac{8x^3}{x+2}$, $f(x)=\frac{2x^5}{x^3-3}$
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the population of a city doubled from 1950 to 1988, going from 2.5 mill…
7.0
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the population of a city doubled from 1950 to 1988, going from 2.5 mill…
1.82
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in a country, deforestation occurs at the rate of about 5.2% per year. …
9.8
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question 10 · 1 point which functions have graphs with no horizontal as…
$f(x)=\frac{x^3}{x-3}$, $f(x)=\frac{8x^3}{x+2}$, $f(x)=\frac{2x^5}{x^3-3}$
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question 9 · 1 point consider the graph of the function $f(x) = \\frac{…
2
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find the approximate solution to the following equation. $e^{3x} = 2$ $…
\( 0.2310 \)
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read the quotations below from norton justers the phantom tollbooth. ma…
1. "So many things are possible just as long as you don't know they're impossible." → Not knowing the limits of what can be done sometimes allows you to achieve more. 2. "I often …
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question 7 · 1 point a cooler has a temperature of 32 degrees fahrenhei…
0.445
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write the following equation as an equivalent exponential equation. ln(…
\(e^{x}=10\)
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question 3 · 1 point which of the following equations uses the inverse …
$\ln(e^{11}) = 11$, $e^{\ln(11)} = 11$
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rewrite the logarithmic expression as a single logarithm with the same …
\(\log_{t}\frac{128}{5}\)
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question 2 · 1 point find \\(\\ln\\left(\\frac{4}{5}\ ight)\\) rounded …
-0.2
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three trigonometric functions for a given angle are shown below.\\(\\si…
D. \((36, -77)\) (assuming the options are labeled as A. \((-77, -36)\), B. \((-77, 36)\), C. \((-36, 77)\), D. \((36, -77)\))
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fatima wants to find the value of \\( \\sin \\theta \\), given \\( \\co…
\(1 + \cot^{2}\theta=\csc^{2}\theta\) (the fourth option: \(1+\cot^{2}\theta=\csc^{2}\theta\))
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use a graph or a table to find the following limit.\\(\\lim\\limits_{x …
\(\infty\)
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sketch the graph of the following function, and state its domain and ra…
- **Graph Sketching**: The graph is a logarithmic curve with a vertical asymptote at \( x=-6 \), passing through \( (-5,-1) \), increasing (since the log has a positive coefficien…
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a mirror is shaped like a paraboloid of revolution and will be used to …
6.02
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3. choose the best answer. a story told in the ______ point of view all…
third - person omniscient
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sketch the graph of the following function, and state its domain and ra…
For \( x=-5 \), \( f(x)=-1 \); for \( x = -3 \), \( f(x)\approx-0.5 \); for \( x = 4 \), \( f(x)=0 \) So the ordered pairs are \((-5, -1)\), \((-3, -0.5)\), \((4, 0)\) and the tab…
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which of the following is true of the location of the terminal side of …
\(\boldsymbol{\theta}\) has a reference angle of \(30^{\circ}\) and is in Quadrant I or II
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sketch the graph of the following function, and state its domain and ra…
\((-\infty, \infty)\)
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sketch the graph of the following function, and state its domain and ra…
\((0, \infty)\)
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question the graph of $y = f(x)$ is shown below. according to the graph…
# Explanation: ## Step1: Understand[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
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find the exact value of the expression. $\tanleft(arcsinleft(\frac{sqrt…
1
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question the graph of $y = f(x)$ is shown below. which point could be u…
B
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graph exactly one cycle of the function f(x) = sin(7x). identify the ma…
Maximum: \( 1 \) Minimum: \( -1 \) Period: \( \frac{2\pi}{7} \)
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company made a change in its advertising. suppose the companys monthly …
20 (and the initial revenue is represented by the \( y \)-intercept of the graph) ### Part (b)
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3 find the phase shift and vertical shift of the cosine graph phase shi…
Phase Shift: \(0\), Vertical Shift: \(0\)
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identify each characteristic of the trig function, then graph. 4. $y = …
Amplitude: \(2\); Period: \(2\pi\); Phase Shift: \(-\frac{\pi}{4}\); Vertical Shift: \(0\); Midline: \(y = 0\)
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14. why is cyber bullying so difficult to stop? the bully can strike at…
The bully is anonymous.
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the movement of the progress bar may be uneven because questions can be…
The graph that has an amplitude of \(3\), a period of \(\frac{2\pi}{3}\), is reflected about the \(x -\)axis (starts at \((0,-3)\)) is the correct one. (Since the options are not …
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the movement of the progress bar may be uneven because questions can be…
\((4\pi,1)\) and \((\frac{\pi}{3},\frac{1}{2})\) (the second - option).
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the movement of the progress bar may be uneven because questions can be…
2 points
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# 4 find the volume of the solid which is generated by rotating the reg…
If we use the disk method (integrating with respect to \( y \)): The definite integral for the volume (when using \( V=\pi\int_{a}^{b}[r(y)]^{2}dy \)) is \( \pi\int_{0}^{2}(4 - y^…
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the movement of the progress bar may be uneven because questions can be…
Fallacy of the single cause
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the movement of the progress bar may be uneven because questions can be…
\( t = \frac{\ln 2}{0.02} \) (the third option)
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use the intermediate value theorem to check whether the polynomial func…
B. The approximate value of zero of \(P(x)\) is \(1.52\) (rounded to two decimal places)
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find all horizontal asymptotes of the following function. $f(x) = \\fra…
No horizontal asymptote
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question find all horizontal asymptotes of the following function. $f(x…
$y = \frac{1}{2}$
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question find all horizontal asymptotes of the following function. $f(x…
$y = 1$
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find all horizontal asymptotes of the following function. $f(x) = \\fra…
\(\frac{3}{2}\)
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the movement of the progress bar may be uneven because questions can be…
33 game tickets
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progress: the movement of the progress bar may be uneven because questi…
\( y = \sin\theta \) shifted to the right by \( \pi \) units (the second option)
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chapter 1: exponential functions > section exercises 1.6 > exercise 10 …
This function represents exponential growth. For the graph, the graph that shows an exponential growth (increasing as \( x \) increases, approaching 0 as \( x ightarrow-\infty \))…
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chapter 1: exponential functions > section exercises 1.6 > exercise 9 t…
This function represents exponential \(\boldsymbol{\text{growth}}\). The graph of the function \(y = 6^x\) is the bottom - left graph (or the third graph in the set of four graphs…
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this question has two parts. first, answer part a. then, answer part b.…
Part A: \( \boldsymbol{f^{-1}(x) = 3x + 10} \) Part B: \( \boldsymbol{g^{-1}(x) = \frac{4}{3}x - 8} \)
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paul just returned from new york fashion week. his graphic arts & desig…
B. connect fashion to something the audience already knows
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use what you have learned about amendments to the constitution to compl…
1. ratify 2. Bill of Rights 3. expanded 4. states
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the nineteenth amendment says that \the right of citizens of the united…
Some states allowed women to vote before the Nineteenth Amendment was approved.
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when it was written, the constitution didnt say anything about who was …
a male African American farmer a white woman a person who can’t afford to pay a voting tax an eighteen-year-old college student
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read the students draft paragraph. select the two sentences that should…
Sometimes, people post unrealistic pictures, and it can make others feel bad. ; Social media can also help teens connect with friends.
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match the terms with their definitions. central government parliament m…
central government → unified governing body of a political unit Parliament → the legislative body of England Magna Carta → a written document designed to limit the power of the ki…
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using primary trig ratios to solve for angles & side lengths part 1: pr…
| Question | Your Solution | Correct Solution | |---|---|---| | (a) $\sin65^{\circ}$ | $\approx0.9063$ | $0.9063$ | | (b) $\tan60^{\circ}$ | $\approx1.7321$ | $1.7321$ | | (c) $\c…
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section 6.4: using logarithms to solve exponential equations & section …
(a) 93.1 (b) 46.2
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suppose a sourdough starter begins with 75 yeast colonies and after 4 d…
a) $A=75e^{0.0935t}$ b) 144 c) 14.83
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graph the following rational function. $f(x) = \\frac{-x + 1}{x^2 - 64}…
To sketch the graph: 1. For \(x < - 8\): Use the top - left curve (first row, first column) as \(f(x)>0\), approaches \(y = 0\) as \(x ightarrow-\infty\) and \(+\infty\) as \(x ig…
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graph the following rational function. $f(x) = \\frac{ -x + 1 }{ x^2 - …
One (and the horizontal asymptote is \( y = 0 \))
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graph the following rational function. $f(x) = \\frac{-x + 1}{x^2 - 64}…
Number of Vertical Asymptotes: Two Then plot vertical lines \(x = -8\) and \(x = 8\) on the graph.
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find equations for the horizontal asymptotes, if any, for the following…
\( y = 0 \)
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find equations for the vertical asymptotes, if any, for the following r…
\(x = -2\)
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find equations for the vertical asymptotes, if any, for the following r…
\( x = 1 \)
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why were many indigenous peoples relocated to reservations? to provide …
To remove them from their ancestral lands and limit their freedom.
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a child’s adoptive parents go to court to finalize the child’s adoption…
a court of civil jurisdiction