Calculus
Limits, derivatives, optimization, and behavior of functions.
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unit test unit test complete 1 read the excerpt from \like mexicans.\ w…
Soto relates a story from his life to make a point about what it means to live in a multicultural society.
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2. given the identity: \\(\\frac{1 + \\tan x}{\\sec x} = \\sin x + \\co…
The identity is proven.
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how were the lives of wealthy women different from those of other women…
D. Wealthy women could own businesses and properties.
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which of the following best describes the purpose of the non-intercours…
to allow U.S. merchants to resume trade with all countries except Britain and France
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q8 why did jefferson pursue a laissez - faire economic system in the un…
Implementing a free market economy limits the role of the federal government.
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write the equation for the trigonometric function based on its graph. (…
\( y = \cos(x) - 1 \) (the option corresponding to this equation, which is the second option: \( y = \cos(x) - 1 \))
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7. what happens if the u.s. national debt grows too large compared to g…
C. National savings decline and interest rates rise
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what is the value of d in the function $f(x) = \\cos(x) + d$ shown in t…
\( -3 \)
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use the table to answer the question. values of y for specific values o…
The maximum value is \( y = 0 \). The minimum value is \( y = -2 \). The value of the midline is \( d = -1 \).
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find the period and write the equation of the sine function that has a …
period = $\frac{2\pi}{7}$ $f(x)=\sin(7x)$
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determine the equation for a sine function that has a horizontal compre…
A. \( f(x) = -\sin(3x) \)
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knowledge check 3/5 how does classroom etiquette benefit you in the wor…
It helps develop professionalism and positive relationships with colleagues.
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periodic functions periodic functions unit test write the equation of t…
\(y=-3\cos x\) (the option: \(y = - 3\cos x\))
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what is the amplitude of $j(x) = -\frac{2}{7}cos x$? enter your answer …
\(\frac{2}{7}\)
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which of the following statements about reflecting periodic functions i…
B. If \( f(x)=\cos x \) and \( g(x)=\cos(-x) \), then \( g(x) \) is a reflection of \( f(x) \) across the \( y \)-axis. (Assuming the options are labeled as A, B, C, D with the se…
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which of the following statements about the graphed cosine function is …
Statement #2
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2.13a exponential and logarithmic equations and inequalities ap precalc…
Exact: 25, Rounded: 25.000
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for each problem, find the x - and y - intercepts, x - coordinates of t…
- \(y -\)intercept: \((0,0)\) - Critical points: \(x = 0\) (relative minimum, \(y = 0\)) and \(x = 2\) (relative maximum, \(y=\frac{4}{3}\)) - Intervals of increase: \((0,2)\) - I…
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for each problem, find the x - and y - intercepts, x - coordinates of t…
- \(y\) - intercept: \((0,0)\) - Critical points: \(x = 0\) (relative minimum) and \(x = 2\) (relative maximum) - Intervals of increase: \((0,2)\) - Intervals of decrease: \((-\in…
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question 8 · 1 point graph the logarithmic function below by moving the…
The key points we can plot are \((1,0)\) and \((4,1)\). If we move the key point, the point \((1,0)\) (where \( x = 1,y = 0 \)) is a key point for the function \( y=\log_4(x) \) (…
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question 4 - 1 point find ln 112 rounded to the nearest tenth. provide …
$4.7$
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for each problem, find the x - and y - intercepts, x - coordinates of t…
- \(x -\)intercepts: \(x = 0\) and \(x = 3\). - Critical points: \(x = 0\) (relative minimum, \(y = 0\)) and \(x = 2\) (relative maximum, \(y=\frac{4}{3}\)). - Increasing interval…
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for each problem, find the x - and y - intercepts, x - coordinates of t…
- \(y-\)intercept: \((0,0)\) - Critical points: \(x = 0\) (relative minimum, \(y = 0\)) and \(x = 2\) (relative maximum, \(y=\frac{4}{3}\)) - Intervals of increase: \((0,2)\) - In…
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for each problem, find the x - and y - intercepts, x - coordinates of t…
- \(y -\)intercept: \((0,0)\) - Critical points: \(x = 0\) (relative minimum, \(y(0)=0\)) and \(x = 2\) (relative maximum, \(y(2)=\frac{4}{3}\)) - Intervals of increase: \((0,2)\)…
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chapter 17 assignment due sunday by 11:59pm points 10 submitting a text…
Limited Liability Company (LLC) or Professional Limited Liability Company (PLLC)
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3 decide whether each statement below best describes the paleolithic or…
1. Neolítica 2. Neolítica 3. Paleolítica 4. Neolítica 5. Neolítica 6. Paleolítica
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knowledge check 5/5 which of the following is a time management tool? ○…
A. A calendar app
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x | -1 | 0 | 1 | 2 | 3 --- | --- | --- | --- | --- | --- h(x) | -7 | -4…
B. \( f,g,h \)
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4. the graph of a function g is shown on the xy -plane on the interval …
\( f(4)=\boxed{-35} \) ### Part 4b
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for each problem, find the x and y intercepts, x - coordinates of the c…
- \(y -\)intercept: \((0,0)\) - Critical points: \(x = 0\) (relative minimum, \(y = 0\)) and \(x = 2\) (relative maximum, \(y=\frac{4}{3}\)) - Increasing interval: \((0,2)\) - Dec…
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transforming the graph of a rational function below is the graph of $y …
To transform the graph of \( y=\frac{1}{x} \) to \( y = -\frac{1}{x}-2 \), first reflect the graph of \( y=\frac{1}{x} \) over the x - axis, then shift the resulting graph down by…
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(each answer, 4 points) match the simple sentences with the sentence pa…
1) D. Noun - Linking Verb - Noun 2) C. Noun - Linking Verb - Adjective 3) B. Noun - Verb - Noun 4) A. Noun - Verb 5) C. indicative mood 6) F. subjunctive mood 7) D. parallel verbs…
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for each problem, find the x - and y - intercepts, x - coordinates of t…
- \(y -\)intercept: \((0,0)\) - Critical points: \(x = 0\) and \(x = 2\) - Intervals of increase: \((0,2)\) - Intervals of decrease: \((-\infty,0)\cup(2,\infty)\) - Relative minim…
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x | -1 | 0 | 1 | 2 | 3 | 4 f(x) | -2 | 1 | 4 | 7 | 10 | 13 h(x) = x² + …
\( g(x) \), \( f(x) \), \( h(x) \)
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for each problem, find the x and y intercepts, x - coordinates of the c…
- \(y -\)intercept: \((0,0)\) - Critical points: \(x = 0\) and \(x = 2\) - Increasing interval: \((0,2)\) - Decreasing intervals: \((-\infty,0)\) and \((2,\infty)\) - Relative min…
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precalc lesson 1.7 homework name 1. let $f(x) = x^2 + 3x - 1$ and $g(x)…
\( f(x)-g(x)=x^{2}+5x - 11 \) ### Problem 2
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(each answer, 5 points) match the definitions with the terms. 2.01) ___…
D. predicate adjective ### 2.02
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a) approximate the area under graph (a) of f(x) = 1/x² over the interva…
The area under graph (a) is approximately \(\boldsymbol{0.7118}\) (rounded to four decimal places). The area under graph (b) is approximately \(\boldsymbol{0.5398}\) (rounded to f…
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• what you hear and watch often will affect your personality. (is the a…
D. verbs ### 6.2)
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question 6 of 10, step 1 of 1 perform the indicated operations. express…
91.781
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mal form rounded to the nearest thousandth, if necessary. \\(\\frac{39}…
\(45.385\)
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question 9 (mandatory) (1 point) listen the berlin conference of 1884 a…
d) established the ground rules for a new phase of European expansion in Africa. ### Question 10
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which was a key achievement of the ming dynasty? ○ the voyages of zheng…
- Pregunta sobre Ming Dynasty: A. the voyages of Zheng He - Pregunta sobre Qing Dynasty: B. They retained traditional Chinese institutions. - Pregunta sobre limitación de contacto…
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aaron launches a toy rocket from a platform. the graph below shows the …
The rocket's height is increasing in the interval \(0<t<1\)
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what are the equations of the asymptotes of the graph of the function $…
A. \(x=-5,x = 2\) and \(y = 3\)
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how does the graph of $g(x)=\\frac{1}{x - 5}+2$ compare to the graph of…
\(g(x)\) is shifted \(5\) units right and \(2\) units up from \(f(x)\).
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which graph represents the function $f(x)=\\frac{1}{x}-1$?
The graph with vertical asymptote \( x = 0 \) and horizontal asymptote \( y=-1 \) (the one where the two branches of the hyperbola are shifted down by 1 unit from the basic \( y=\…
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what are the vertical and horizontal asymptotes for the function $f(x)=…
horizontal asymptote: \(y = 3\), vertical asymptote: \(x=-2,x = 2\) (the fourth option)
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which graph represents the function $f(x)=\\frac{3x - 2}{x - 2}$?
The graph with a vertical asymptote at \(x = 2\), a horizontal asymptote at \(y = 3\), \(x\) - intercept at \((\frac{2}{3},0)\) and \(y\) - intercept at \((0,1)\) is the correct g…
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what is the horizontal asymptote of $f(x)=\\frac{-2x}{x+1}$? \\(\\circ\…
\(y = - 2\)
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which function has no horizontal asymptote? ○ $f(x)=\\frac{2x - 1}{3x^2…
\(f(x)=\frac{2x^2}{3x - 1}\)
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which statement describes the behavior of the function $f(x)=\\frac{3x}…
The graph approaches \(-3\) as \(x\) approaches infinity.
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which of the following is the function represented by the graph? consid…
\(y=\frac{1}{(x - 5)}+3\) (the fourth option)
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consider the following. \\( x = 7\\sqrt{\\sin(y)}, \\ 0 \\leq y \\leq \…
(a) \(V=\pi\int_{0}^{\pi}(56\sqrt{\sin(y)}-49\sin(y))dy\) (b) \(113.7973\)
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consider the function $f(x) = \\frac{c}{x}$, where $c$ is a nonzero rea…
The domain is all real numbers except \(x = 0\). The range is all non - zero real numbers.
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consider the function $f(x) = \\frac{c}{x}$, where $c$ is a nonzero rea…
- The vertical asymptote: \(x = 0\) - The horizontal asymptote: \(y = 0\) - The domain: \(\{x|x eq0,x\in R\}\) - The range: \(\{y|y eq0,y\in R\}\)
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consider the following function: $f(x) = \\frac{25 - x^2}{x^2 - 4x - 5}…
\(m = n\), There is only one vertical asymptote, \(y=-1\) is the horizontal asymptote.
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identify the graph of $f(x)=\\frac{10 - 10x -}{x^2}$ ?
The first graph (the one with \(x = 0\) as vertical asymptote, \(y=0\) as horizontal asymptote and \(x\)-intercept at \(x = 1\)) is the graph of \(y=\frac{10 - 10x}{x^{2}}\).
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which of the following could be the function graphed? $f(x)=\\frac{8x^2…
\(f(x)=\frac{8x^{2}}{x^{2}-9}\)
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er the following function: $f(x) = \\frac{2x}{3x^2 - 3}$ what is the do…
The graph approaches \(0\) as \(x\) approaches infinity. The graph approaches \(0\) as \(x\) approaches negative infinity.
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43 mark for review united nations recognition of a states exclusive eco…
B. claim national economic jurisdiction over 200 nautical miles of water extending from its coast
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select the correct answer. when does a natural monopoly arise? a. when …
C. when economies of scale occur over a relevant range of output
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1 day left to maintain your streak! 1 week streak consider the graphs o…
The value of \( g(f(3)) \) is approximately 7 (the exact value may vary slightly depending on the graph reading, but the best approximation from the graph is 7).
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form, structure, and sense: medium google classroom microsoft teams stu…
B. they are
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graph the following function on the axes provided. $f(x) = \\begin{case…
Graph two lines: one for \(y = 3x\) with \(x<-1\) (using points like \((-2,-6)\), \((-3,-9)\) and an open - circle at \(x=-1\)) and one for \(y=x - 4\) with \(x>5\) (using points …
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an initial investment of $100 is now valued at $150. the annual interes…
8
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solve: $ln 2x + ln 2 = 0$ $x = \\boxed{}$
\(\frac{1}{4}\)
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graph the following function on the axes provided. $f(x) = \\begin{case…
Graph a horizontal line \(y=-1\) with open - circles at \((-4,-1)\) and \((1,-1)\) for \(-4<x<1\), and graph the line \(y=x + 2\) with an open - circle at \((1,3)\) and a closed -…
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which of the following is the solution of $5e^{2x}-4 = 11$? $\\bigcirc$…
\( x = \frac{\ln 3}{2} \) (the third option)
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answer all of the questions below about the function f(x) graphed below…
\(\lim_{x\to - 6^{-}}f(x)=-4\), \(\lim_{x\to - 6^{+}}f(x)=-4\), \(\lim_{x\to - 6}f(x)=-4\), \(f(-6)=-4\)
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graph the following function on the axes provided. $f(x) = \\begin{case…
Graph a horizontal line \(y = - 6\) for \(x<1\) (open - circle at \((1,-6)\)) and a line \(y=x - 6\) for \(x>4\) (open - circle at \((4,-2)\)) on the coordinate plane.
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graph the following function on the axes provided. $f(x) = \\begin{case…
The graph consists of a horizontal line \(y = - 6\) for \(x<1\) (with an open - circle at \((1,-6)\)) and a line \(y=x - 6\) for \(x>4\) (with an open - circle at \((4,-2)\)).
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# 6 find the area of the region bounded by the parabolas $y = 2x - x^2$…
\(\frac{1}{3}\)
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which territory gained limited independence after the spanish-american …
D. Cuba
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$\\frac{d}{dx}(\\ln e^{2x}) = 2$
The derivative $\frac{d}{dx}(\ln e^{2x})$ is indeed equal to 2, so the statement is true.
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question 7 of 10 which of the following explains the importance of the …
A. It eased growing tensions between the United States and Japan.
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read the text. before becoming an award-winning actress, charlize thero…
- Cause: South Africa had few jobs for dancers. ; Effect: Theron moved to New York. - Cause: Theron suffered a knee injury. ; Effect: Theron moved to Los Angeles. - Cause: Theron …
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the function f is shown below. determine the equations of all vertical …
There are no vertical asymptotes. The horizontal asymptote is \(y = 3\) and the limit equation is \(\lim_{x ightarrow-\infty}f(x)=3\)
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the region bounded by the x-axis and the part of the graph of $y = \\co…
\(\frac{\pi}{6}\)
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the set of all points $(e^t, t)$, where $t$ is a real number, is the gr…
\(\ln(x)\)
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question 15 a dualistic philosophy: includes physical existence as an i…
D. subdivides people into discrete components
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use transformations of the graph of f(x) = 5^x to graph the given funct…
C. The graph of \( f(x) = 5^x \) should be reflected about the \( x \)-axis.
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question plot all of the existing five features of the following ration…
Vertical Asymptote: $x=-4$ Horizontal Asymptote: $y=0$ y-Intercept: $(0, 0.75)$ Hole: $(4, 0.375)$ No x-intercept.
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use transformations of the graph of f(x)=5^x to graph the given functio…
C. The graph of \( f(x) = 5^x \) should be reflected about the \( x \)-axis.
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identify the error in the student solution shown below. find the correc…
The error was misapplying the logarithm subtraction rule (thinking $\ln(3x)-0$ implies $\ln(\frac{3x}{0})$). The correct answer is $x = 3$.
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expanding logarithmic expressions expand each expression. $ln (2x)^4$ $…
$4\ln 2 + 4\ln x$ (corresponding to the first option: 4 ln 2 + 4 ln x)
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which expressions are equivalent to \\(\\ln x + 2 \\ln 5 + \\ln 1\\)? c…
\( \ln 25x + \ln 1 \), \( \ln 25x \) (the third and fourth options, i.e., the option with \( \ln 25x+\ln 1 \) and the option with \( \ln 25x \))
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representing a graph with a step function which function and domain cou…
\( f(x)=-\lfloor x floor ; -3 \leq x \leq 3 \) (the third option: \( f(x)=-\lfloor x floor ; -3 \leq x \leq 3 \))
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e^{\\ln 1} = \\quad e^{\\ln 5x} =
For \( e^{\ln 1} \), the answer is \( 1 \); for \( e^{\ln 5x} \), the answer is \( 5x \)
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simplify each expression. $ln e^3 = $ $ln e^{2y} = $
For \(\ln e^3\), the simplified form is \(3\). For \(\ln e^{2y}\), the simplified form is \(2y\).
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the movement of the progress bar may be uneven because questions can be…
\(y = 2\sin(6x)\)
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what is the solution to 2 ln x = 4 ln 2? x = done
\(4\)
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what are the amplitude and period of $y = 4\\cos\\left(\\frac{x}{5}\ ig…
The amplitude is \(4\) and the period is \(10\pi\) (i.e., the first option).
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list the potential solutions to 2 ln x = 4 ln 2 from least to greatest.…
\(x=-4\) and \(x = 4\) (in the order from least to greatest, first \(x=-4\), then \(x = 4\))
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solve: 2 ln 3 = ln(x - 4) x = 9 x = 10 x = 13 done
\(x = 13\)
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what is the value of \\(\\cos\\left(\\frac{7\\pi}{4}\ ight)\\)? \\(\\ci…
$\frac{\sqrt{2}}{2}$
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what signs are \\(\\cos(-80^{\\circ})\\) and \\(\\tan(-80^{\\circ})\\)?…
\(\cos(- 80^{\circ})>0\) and \(\tan(-80^{\circ})<0\)
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expand: ln (4a)³ ○ 3 ln 4 + ln a ○ 3 ln 4 - 3 ln a ○ 3 ln 4 + 3 ln a
$3\ln 4 + 3\ln a$ (corresponding to the option "3 ln 4 + 3 ln a")
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plot all of the existing five features of the following rational functi…
Vertical Asymptote: $x = 4.25$ Horizontal Asymptote: $y = 0.75$ x-intercept: $(-2, 0)$ y-intercept: $(0, -\frac{6}{17})$ Hole: None
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simplify. \\ln e = \\ln e^{2x} = \\ln 1 = done
$\ln e = \boldsymbol{1}$; $\ln e^{2x} = \boldsymbol{2x}$; $\ln 1 = \boldsymbol{0}$