Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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2.) find the exact value of the following trigonometric functions. be s…
\(\sin(120^{\circ})=\frac{\sqrt{3}}{2}\), \(\cos(-225^{\circ})=-\frac{\sqrt{2}}{2}\), \(\tan(210^{\circ})=\frac{\sqrt{3}}{3}\), \(\sec(330^{\circ})=\frac{2\sqrt{3}}{3}\), \(\csc(1…
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4. (calculator not allowed) eulers method and logistic growth (bc only)…
\(1.84\)
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find the exact value of the expression. $\\cos\\left(\\sin^{-1}\\frac{1…
\(-\frac{16}{65}\)
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what are credit cards a substitute for? credit limits cash credit ratios
cash
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what is the sign of the rate of change of y between x = -5 and x = 1? n…
Negative
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where is the graph decreasing? -\\infty < x < 3 -\\infty < x < -1 3 < x…
B. \(-\infty < x < - 1\)
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how did the actions of congress following world war i impact the vision…
A. The Senate refused to ratify the Treaty of Versailles, ensuring that the United States would not join the League of Nations.
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te. 2x + 5 g(x) is as defined in the function below. (g)(3).
\(7\)
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which of the following titles completes the chart? a congressional appo…
D. Offices Requiring Senate Confirmation
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match the legal protection to its description. entrepreneurs trademark …
- copyright: used to protect creative works. - patent: used to protect an invention from being copied for a limited time. - trademark: used to protect brand names, logos, and busi…
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which is a disadvantage of s corporations? they have high taxation rate…
There are very strict qualification requirements for becoming an S corporation.
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which point of view is reflected in common sense? representatives shoul…
A. Representatives should be elected.
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algebra is a precursor for calculus because it will help students to be…
B. Preteding requirement
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williams, micah the following is a quote from a document written in sup…
B. federalism
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the excerpt is from the supreme courts unanimous opinion in 1919. \when…
National security concerns led to limitations on civil liberties through the Espionage and Sedition Acts.
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in their study of caterpillars in fragmented forests (formerly contiguo…
A. engenders
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use the graph to determine (a) open intervals on which the function is …
A. The function is increasing on the interval(s) \((-2,\infty)\)
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use the graph to determine (a) open intervals on which the function is …
A. The function is increasing on the interval\((- 2,\infty)\)
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use the graph to determine a. open intervals on which the function is i…
a. A. The function is increasing on the interval(s) \((1,\infty)\) b. A. The function is decreasing on the interval(s) \((-\infty,1)\) c. B. There is no interval on which the func…
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use the graph to determine a. open intervals on which the function is i…
A. The function is increasing on the interval(s) \((-5,-2),(2,5)\)
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question 4 of 6 cason wants to diversify his investment portfolio. caso…
Hire a Financial Advisor
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use the graph to determine a. open intervals on which the function is i…
A. The function is increasing on the interval(s) \((-5,-2),(2,5)\)
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use the graph to determine a. open intervals on which the function is i…
A. The function is increasing on the interval(s) \((-1,\infty)\)
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$$\\lim_{x \\to 0^{+}} \\frac{1}{3x}$$
\(\lim_{x\to0^{+}}\frac{1}{3x}=+\infty\)
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12. find the limit. $$ lim _ { x ightarrow infty } \frac { sin ( 2 x ) …
\(0\)
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read the excerpt from poes the fall of the house of usher. it was, perh…
It provides an inference drawn by the narrator.
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10. for what values of a and b is $g(x)=\\begin{cases}-2, & x\\leq -1 \…
\(a=\frac{5}{2}\) and \(b =-\frac{1}{2}\)
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8. find the limit. \\( \\lim _ { x \ ightarrow 0 } \\frac { x ^ { 2 } -…
\(0\)
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current objective explain the impact of price ceilings and usury laws i…
Nothing.
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what are the coordinates of the removable discontinuity of $y=\frac{x^{…
The coordinates of the removable discontinuity are \((1,-\frac{1}{2})\)
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7. \\( \\lim _ { x \ ightarrow 3 } \\frac { x ^ { 4 } - 24 x ^ { 3 } + …
\(0\)
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6. \\( \\lim _ { x \ ightarrow 0 } \\frac { x ^ { 4 } - 5 x ^ { 3 } } {…
\(-5\)
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5. \\( \\lim _ { x \ ightarrow 3 } \\frac { x ^ { 3 } - 5 x ^ { 2 } + 7…
\(-4\)
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4. $\\lim _{x \\to 1} \\frac{x^{2}-9 x+8}{x^{2}+7 x-8}$
\(-\frac{7}{9}\)
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3. \\( \\lim _ { x \ ightarrow 4 } \\frac { x - 4 } { x ^ { 2 } - 16 } …
$\frac{1}{8}$
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course ap precalculus due mon, nov 17, 2025 2 default gallery 2. \\( \\…
\(\frac{1}{3}\)
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due mon, nov 17, 2025 1 default gallery 1. \\( \\lim _ { x \ ightarrow …
\(0\)
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a ferris wheel is 10 meters in diameter and boarded from a platform tha…
\(f(t)=-5\cos(\frac{\pi}{3}t)+8\)
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a ferris wheel is 50 meters in diameter and boarded from a platform tha…
Amplitude: \(25\) meters Midline: \(y = 29\) meters Period: \(4\) minutes Height at \(t = 2\) minutes: \(54\) meters
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find a function of the form ( y = a sin(kx)+c ) or ( y = a cos(kx)+c ) …
\(y = 3\sin(\frac{\pi}{4}x)-2\)
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question 6 given the equation ( y = 7 sin left( \frac { pi } { 3 } x + …
The amplitude is: \(7\) The period is: \(6\) The horizontal shift is: \(4\) units to the left The midline is: \(y = 2\)
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given the equation ( y = 4sin(2(x - 5)) + 7 ) the amplitude is: the per…
The amplitude is: \(4\) The period is: \(\pi\) The horizontal shift is: \(5\) units to the right The midline is: \(y = 7\)
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based on the graph above, determine the amplitude, midline, and period …
Amplitude: \(2\) Period: \(2\) Midline: \(y = 2\)
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question 3 based on the graph above, determine the amplitude, midline, …
Amplitude: \(2.5\) Period: \(2\) Midline: \(y=-4.5\)
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which of the following graphs is the correct plot of ( y = - 4 sin ( x …
The upper - right graph (the second graph in the original four - graph set) is the correct plot of \(y=-4\sin(x)\)
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introduction to inverse trigonometric functions trigonometric functions…
\( 0.795 \) (rounded to three decimal places)
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the graph above is a graph of what function? ( y=sec (x) ) ( y=\tan (x)…
\(y = \csc(x)\)
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the graph above is a graph of what function? ( y=csc (x) ) ( y=cot (x) …
\(y = \cot(x)\)
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which of the following statements about language is true? a. languages …
A. Languages have a set of rules that determine how sentences can be written.
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if 6000 dollars is invested in a bank account at an interest rate of 6 …
When compounded annually: \(8511.11\) When compounded quarterly: \(8584.61\) When compounded monthly: \(8592.27\) When compounded continuously: \(8599.98\)
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6. evaluate each limit. (a) \\( \\lim _ { x \ ightarrow 0 } \\frac { \\…
\(1\)
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question 9 (1 point) what personal historical event directly motivated …
- Question 9: A series of civil wars he witnessed, which were led by nobles attempting to limit the crown’s power. - Question 10: To acquire a status symbol, demonstrating that th…
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test the series for convergence using the alternating series test. sum …
\(b_{n}=\frac{n^{2}}{n^{3}+6}\), \(\lim_{n ightarrow\infty}b_{n} = 0\)
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5. 1.16 / 1.92 pointstest the series for convergence using the alternat…
\(b_n=\frac{1}{\ln(n + 1)}\), \(\lim_{n ightarrow\infty}b_n = 0\)
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consider the following series. sum _ { n = 1 } ^ { infty } \frac { ( - …
For the convergence conditions: \(\lim_{n ightarrow\infty}\frac{1}{n^4}=0\) and \(\frac{1}{(n + 1)^4}<\frac{1}{n^4}\) (i.e., the third and fourth options). The number of terms nee…
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question 11 4.44 pts which of the following is not a benefit of social …
Question 11: limited audience targeting Question 12: select goals
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2. show that the equation ( x^{5}+4x^{3}-7x + 14 = 0 ) has at least one…
The equation \(x^{5}+4x^{3}-7x + 14 = 0\) has at least one real solution.
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● ex 1. use the ivt to show that the equation ( x-cos x = 0 ) has a sol…
1. By the Intermediate - Value Theorem, the equation \(x-\cos x = 0\) has a solution in \((0,\frac{\pi}{2})\). 2. By the Intermediate - Value Theorem, the equation \(x^{5}+4x^{3}-…
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determine the horizontal or slant asymptote of the following function. …
The slant asymptote is \(y=2x+4\).
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determine the horizontal asymptote(s) of the following function. enter …
\(y = \frac{5}{2}\)
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consider the following function. f(x)=\\frac{x^{2}-15x + 56}{x^{2}-17x …
a) \(x = 9\) b) \(8\)
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determine the vertical asymptote(s) of the following function. enter ea…
\(x = 0,x = 4,x=-4\)
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this is the only question in this section. question the logistic model …
\(t = 40\ln(2)\) years after 2010.
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current learning objective: understanding how the graphs of parabolas a…
$y = 4(x + 1)^2-4$
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find the equation of the asymptote for ( g(x)=e^{x - 5} ) using the gra…
\(y=-5\)
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find the average rate of change of the function on the specified interv…
\(-4\)
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describe how the graph of the function is a transformation of the graph…
3 units left, 6 units down
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use transformations of the graph of ( f(x)=e^{x} ) to graph the given f…
D. The graph of \(f(x)=e^{x}\) should be shifted 5 units downward.
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estimate the average rate of change from $x = - 1$ to $x = 2$
The average rate of change is approximately \(\frac{2}{3}\) (or about \(0.67\)).
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andrew jacksons veto of the maysville road bill 1830 \gentlemen, i have…
D. Dwight D. Eisenhower
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andrew jacksons veto of the maysville road bill. 1830 \gentlemen, i hav…
B. States' rights
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find the horizontal asymptote, if any, of the graph of the rational fun…
A. The horizontal asymptote is \(y=-\frac{3}{5}\)
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find the horizontal asymptote, if any, of the graph of the rational fun…
A. The horizontal asymptote is \(y = 0\)
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which philosophy of government is part of the declaration of independen…
The government is supposed to defend the rights of people.
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problem 1. differentiate the following functions. (a) 4pts. $f(x)=\\fra…
## (a) $$f^{\prime}(x)=\frac{(2x\sin(x)+x^{2}\cos(x))(1 + x^{2})-2x\cdot x^{2}\sin(x)}{(1 + x^{2})^{2}}$$ ## (b) $$f^{\prime}(x)=6\sin(3x)\cos(3x)\sin(4x^{5})+20x^{4}\sin^{2}(3x)\…
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find the horizontal asymptote f(x) = \\frac{3x(x + 2)}{x^{2}-1}
The horizontal asymptote is \(y = 3\)
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given the function $f(x) \\frac{(x - 2)(x + 4)}{x(x + 2)}$ what is true…
As \(x\) approaches \(0\) from the right (\(x\to0^{+}\)), \(f(x)\to-\infty\) and as \(x\) approaches \(0\) from the left (\(x\to0^{-}\)), \(f(x)\to\infty\)
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find the vertical asymptotes of the function f(x)=\\frac{3x(x + 2)}{x^{…
The vertical asymptotes of the function \(y = f(x)\) are \(x=-1\) and \(x = 1\)
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find the linear approximation of the function below at the indicated po…
The linear approximation \( f(x,y)\approx-\frac{1}{3}x-\frac{4}{3}y+\frac{14}{3} \), and \( f(1.09,0.94)\approx3.05 \)
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a. philip randolph argued that requiring african americans to fight for…
B. they were denied rights in their own country.
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graph the function and state the amplitude, period, and midline. state …
Amplitude: \(3\); Period: \(\frac{2\pi}{3}\); Mid - line: \(y = 0\); Maximum value: \(y = 3\) at \(x = 0\); Minimum value: \(y=-3\) at \(x=\frac{\pi}{3}\)
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question 14 (1 point) when a pharmaceutical company discovers a new dru…
C. Sole ownership of the right to sell the drug for a limited number of years
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which of the following distribution strategies seeks to distribute a pr…
Selective distribution
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graph the function and state the amplitude, period and midline. then gi…
- Amplitude: \(5\) - Period: \(2\pi\) - Midline: \(y = 0\) - Maximum \(y\) - value: \(y = 5\) at \(x = 0\) - Minimum \(y\) - value: \(y=-5\) at \(x=\pi\)
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graph the function and state the amplitude, period and midline. state t…
- Amplitude: \(5\) - Period: \(2\pi\) - Mid - line: \(y = 0\) - Maximum \(y\) - value: \(y = 5\) at \(x=\frac{3\pi}{2}\) - Minimum \(y\) - value: \(y=-5\) at \(x=\frac{\pi}{2}\)
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question 6 2 pts \primitive\ human languages make use of a reduced set …
do not exist
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review the fifth paragraph. 5 on a personal level, parents desire free …
The author overstates the ability of municipal Wi - Fi to ensure children's safety.
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graph the function and state the amplitude, period and midline. graph t…
- Amplitude: \(\frac{1}{2}\) - Period: \(2\pi\) - Mid - line: \(y = 0\) - Maximum \(y\) - value: \(\frac{1}{2}\) at \(x = 0\) - Minimum \(y\) - value: \(-\frac{1}{2}\) at \(x=\pi\)
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20) a) increasing: (2, ∞) decreasing: (-∞, 2) b) increasing: (-∞, 1) de…
C. Increasing: \((0, \infty)\) Decreasing: \((-\infty, 0)\)
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19) a) increasing: $(-\\infty,-1.4),(0,1.4)$ decreasing: $(-1.4,0),(1.4…
A. Increasing: \((-\infty,-1.4),(0,1.4)\) Decreasing: \((-1.4,0),(1.4,\infty)\)
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18) a) increasing: (-0.7, 0), (0.7, ∞) decreasing: (-∞, -0.7), (0, 0.7)…
B. Increasing: \((-\infty, - 1)\) Decreasing: \((-1,\infty)\)
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17) a) increasing: $(-\\infty,0),(0.7,\\infty)$ decreasing: $(0,0.7)$ b…
D. Increasing: \((-\infty, \infty)\) Decreasing: No intervals exist.
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approximate the intervals where each function is increasing and decreas…
A. Increasing: \((-1,0),(1,\infty)\) Decreasing: \((-\infty,-1),(0,1)\)
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graph the function ( g(x) = -5^{x} ) and its asymptote. graph the asymp…
Plot the points \((0, - 1)\), \((1,-5)\), \((-1,-0.2)\) and draw a curve passing through these points. Draw the horizontal asymptote \(y = 0\) as a dashed line.
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solve the equation in degrees for all exact solutions where appropriate…
B. The solution set is \(\{60^{\circ}+720^{\circ}n,660^{\circ}+720^{\circ}n\), where \(n\) is any integer\(\}\)
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use transformations of the graph of ( f(x)=e^{x} ) to graph the given f…
- Asymptote: \(y = - 3\) - Domain: \((-\infty,\infty)\) - Range: \((-3,\infty)\)
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begin by graphing ( f(x) = 3^{x} ). then use transformations of this gr…
A. The graph of \(f(x)=3^{x}\) should be shifted 3 units to the right.
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begin by graphing ( f(x)=3^{x} ). then use transformations of this grap…
A. The graph of \(f(x)=3^{x}\) should be shifted 3 units to the right.
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find the vertical asymptotes of the graph $f(x)=\\frac{2(x + 2)^2(x - 3…
The vertical asymptotes are \(x=-3\), \(x = 0\), and \(x = 5\).
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multiple choice question which term refers to the category of senses th…
special