Calculus
Limits, derivatives, optimization, and behavior of functions.
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question 13 (5 points) which of the following are the solutions of \\( …
\(\frac{\pi}{2},\frac{3\pi}{2}\)
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6. the graph below is a sinusoidal function. write a cosine and sine fu…
Cosine function: \(y = 5\cos(x)+2\); Sine function: \(y = 5\sin(x+\frac{\pi}{2})+2\)
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question 7 (5 points) listen if ( sec \theta=-7.3 ), find ( sin left(\t…
\(0.14\) ### Question 8
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5. sketch the following function ( f(x)=-3 sin left(\frac{4}{3} x-\frac…
Plot the points \((\frac{\pi}{2},1)\), \((\frac{7\pi}{8},-2)\), \((\frac{5\pi}{4},1)\), \((\frac{13\pi}{8},4)\), \((2\pi,1)\) and connect them with a smooth sine - curve consideri…
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sarah, a human resource executive at opexa inc., is assigned the task o…
B. promote employees from other positions within the company.
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what best describes interest rate? the commission on stock market trans…
1. the 'price' of borrowing in the financial market; a rate of return on an investment 2. a price floor that makes it illegal for an employer to pay employees less than a certain …
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which equation is represented by the graph below? ( y=ln x - 3 ) ( y=ln…
\(y = e^{x}-4\)
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1. which feature of life in the early 19th century created a kind of fe…
the nation's aggressive, often violent approach to expansion
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question 20 (5 points) listen find the value of tan ( sin ^ { - 1 } ( -…
$-\frac{\sqrt{3}}{3}$ (corresponding to the third option)
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what is the range of the function ( y = 2e^{x}-1 )? all real numbers le…
all real numbers greater than \(- 1\)
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determine the amplitude, period, and phase shift for ( y=\frac{1}{3}\ta…
amplitude = does not exist; period = \(180^{\circ}\); phase shift=\(-30^{\circ}\)
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what is the meaning of the word tremendous as it is used in the sentenc…
B. huge
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what challenge did romantic artists face in their pursuit of independen…
They had to please both patrons and the public.
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question 1 if all the graphs above have equations with form ( y = ab^x …
As \(t\to-\infty\), \(f(t)\to1\); As \(t\to\infty\), \(f(t)\to+\infty\)
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8 does graph b pass the vertical line test? 9 what is the range shown i…
8. Yes. 9. \(\{-2\leq x\leq6\}\). 10. \(\{0\leq y\leq9\}\). 11. Increasing. 12. Decreasing. 13. \(x=-2\) and \(x = 6\). 14. \(y = 8\). 15. Yes. 16. Non - linear.
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graph $y = \\frac{1}{6} \\csc \\theta$.
The second graph (the one with vertical asymptotes at \(\theta=0,\pm\pi,\pm2\pi,\cdots\)) is the graph of \(y = \frac{1}{6}\csc\theta\).
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what does fiscal policy most closely focus on? managing taxes and spend…
Managing taxes and spending.
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in business - to - consumer e - commerce, ______. a. purchases involve …
C. the size of a typical individual transaction is relatively small
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4. use the graph of ( y = g(x) ) to estimate ( int_{2}^{10}g(x)dx ) usi…
Left - Riemann sum: \(70\), Right - Riemann sum: \(190\), Midpoint - Riemann sum: \(150\)
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what is the domain of the function ( y = ln(x + 2) )? ( x < -2 ) ( x > …
\(x > - 2\) (the second option)
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given the function ( h(x) = -x^{2} - 6x + 13 ), determine the average r…
\(-2\)
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given the function $f(x)=-x^{2}-2x + 6$, determine the average rate of …
\(2\)
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question 7 (5 points) listen if the laffite family deposits $8500 in a …
For the first question, there is an error in the provided options. For the second question: B. $2.2$ million
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the term ______ refers to an approach to employee benefits that gives a…
B. cafeteria - style benefits
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starting the actors journey many people have performed onstage at some …
C. The skills you learn through acting are also advantageous if you pursue a career in another field.
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starting the actors journey career discovery: careers many people have …
C. emphasize that for most actors, acting is a career choice, not a path to stardom
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solve the following equation for x: $e^{3x - 1}=4$ a. 1 b. $\frac{1 + 4…
D. \(\frac{1+\ln4}{3}\)
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how did the fugitive slave act affect the rights of free black people i…
It stripped them of their right to trial by jury.
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which of the following terms completes the sentence below? to fill out …
B. sign chart; zeros
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place the steps to sketch the graph of a rational function in the appro…
1. Find the function's zeros and vertical asymptotes, and plot them on a number line. 2. Choose test numbers to the left and right of each of these places, and find the value of t…
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question 2 of 10 how many vertical asymptotes does the graph of this fu…
C. 3
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given the graph of the function ( f(x) ) below, what happens to ( f(x) …
A. \(F(x)\) is a very large positive number
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13 the powers not delegated to the united states by the constitution, n…
C. To limit the authority of the federal government
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contracts that offer deals appearing \too good to be true\ often are ju…
low - ball technique.
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for the function ( f(x)=\frac{1}{x + 1} ), which of these could be a va…
D. - 10,000
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which term below correctly completes the following sentence? near a fun…
A. large
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this excerpt is from a letter written by a founding father \our liberty…
C. To allow different points of view to be shared with the public
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atch the migration corridor with the most prominent push or pull factor…
- Mexico & Central America to U.S.: Push: Low wages, limited job opportunities, poverty, violence, drug trafficking; Pull: Better paying jobs, safer living conditions, better educ…
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for the function ( f(x)=\frac{1}{x - 2} ), which of these could be a va…
B. \(10,000\)
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part a : based on the excerpt, why did james madison believe that feder…
- Part A: B. It limits governmental authority in order to avoid abuses of power. - Part B: D. Power divided between governmental bodies protects the people.
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in a single republic, all the power surrendered by the people is submit…
B. It limits governmental authority in order to avoid abuses of power.
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which term below correctly completes the following sentence? if a funct…
C. undefined
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read the excerpt from chapter 10 of animal farm the pigs appeared compl…
They prohibited alcohol when they took control of the farm.
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push: conflicts like civil war, humanitarian crises, political instabil…
- Middle East (Afghanistan, Syria) to Europe: Push - Conflicts like civil war, humanitarian crises, political instability, limited economic opportunity; Pull - Political asylum an…
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what was an effect of the helsinki accords? (1 point) they accepted the…
They accepted the Soviet's domination of Eastern Europe.
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according to the graph of ( h(w) ) below, the line ( w = 0 ) is also th…
D. vertical asymptote
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cumulative exam cumulative exam complete which issue are teen parents m…
low - paying jobs
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a line that a function gets closer and closer to but does not reach is …
A. asymptote
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how does the graph of ( y = f(x + 2) ) differ from the graph of ( y = f…
The graph of \(y = f(x + 2)\) is \(5\) units to the left of the graph of \(y = f(x - 3)\)
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according to the graph of ( h(w) ) below, the ( w )-axis is also the __…
A. horizontal asymptote
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according to the graph of ( h(w) ) below, what happens when ( w ) gets …
B. \( H(w) \) gets very large.
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kim is preparing to take a calculus exam. which of the following sugges…
The Yerkes - Dodson law
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a business offers its employees two options for health care coverage, p…
- First question: Madison, who rarely gets sick and wishes to retain as much of her income as possible each month, should choose Plan X. - Second question: asset protection.
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what information will the reader find in the section \changing england …
B. how the English Bill of Rights has affected the world
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constitutional monarchy. the english bill of rights created a constitut…
B. a king or a queen
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answer the question correctly to continue reading how did the english b…
D. It limited the power of the king or queen and supported the rights of people.
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end behavior x→-∞, y→-∞; x→∞, y→∞ x→-∞, y→-∞; x→∞, y→-∞ x→-∞, y→∞; x→∞,…
The first option \(x\to-\infty,y\to-\infty;x\to\infty,y\to\infty\)
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end behavior $x\\to -\\infty,y\\to -\\infty;x\\to \\infty,y\\to \\infty…
\(x\to-\infty,y\to-\infty;x\to\infty,y\to\infty\) (the red box option)
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what are the solutions? x = -2, 3, 3 x = 2, -1, -3 x = -2, 1, 3 x = -2,…
\( x=-2,1,3 \) (the green - colored option)
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jonathan decides to go to an arcade to play some games. he sets a limit…
33 game tickets
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the movement of the progress bar may be uneven because questions can be…
The second graph (the one that has a period of \(6\pi\), amplitude \(3\) and passes through the origin \((0,0)\) with the negative - coefficient of the sine function causing the a…
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which is not a correct description of the graph below? ( y = sin \theta…
The graph of \(y = \sin\theta\) shifted to the left by \(\frac{\pi}{2}\) units.
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what is the equivalent degree measure of $-\frac{2pi}{3}$ radians writt…
\(-120^{\circ}\) (corresponds to the first option)
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the movement of the progress bar may be uneven because questions can be…
\(2\)
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what is the value of $\\sin(\\frac{2\\pi}{3})$? $ - \\frac{1}{2}$ $\\fr…
\(\frac{\sqrt{3}}{2}\) (the second option)
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br - intro to executive branch reading 1. succession a. establishes the…
1. D 2. C 3. A 4. E 5. B
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how do imports generally affect u.s. consumers? a. they limit the numbe…
C. They offer more choices.
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what are the domain and range of the function on the graph? the domain …
The domain includes all real numbers, and the range is \(y > 0\).
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geraldine is asked to explain the limits on the range of an exponential…
The conclusion is incorrect because the range is limited to the set of positive real numbers.
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sharon is thinking about opening a bakery. she knows she wants to set h…
Immediately finding a storefront property for her business, putting down a deposit, and signing a lease.
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7. what is the speed of a runner whose distance is represented by the f…
\((\frac{d}{t})(h)=3h + 1\)
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which excerpt from anthem best illustrates the theme that collectivism …
What disaster took their reason away from men? What whip lashed them to their knees in shame and submission? The worship of the word "We."
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topic 2 composing and decomposing functions skills practice continued p…
The volume function \(V(h)=4h^{3}-36h^{2}+80h\) has a relative maximum at \(h = 1.5\) inches. The relative maximum volume is \(52.5\) cubic inches.
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17. what does a solid line on the ground between lanes mean? you may no…
17. you may not switch lanes 18. blood, alcohol, content
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starting the actors journey career discovery: careers many people have …
D. Comedy offers more appealing roles for actors than melodramas or tragedies.
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starting the actors journey many people have performed onstage at some …
B. Beginning actors must also be resilient, as they may have to audition dozens of times before landing even a bit part.
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starting the actors journey career discovery centers many people have p…
A. it would be rare for an actor to achieve fame early in their career
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using the function graph shown below, calculate the average rate of cha…
\(\frac{1}{2}\)
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starting the actors journey career discovery: careers many people have …
B. the practical aspects of an acting career and how to prepare for success in the field
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complete the text with the evidence that best supports the argument. in…
These limitations appeal to spectators because they generate more continuous action and often reduce game times by about thirty minutes.
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calculate the average rate of change from x = 5 to x = 10 on the functi…
\(-\frac{1}{100}\)
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using the function graph shown below, calculate the average rate of cha…
\(1.5\)
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using the following table of function values, calculate the average rat…
\(-23.6\)
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calculate the average rate of change on the interval (15leq xleq16) on …
\(0\)
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using the function graph shown below, calculate the average rate of cha…
\(-0.8\)
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latasha was tracking the temperature as a weather front was moving into…
\(0.17\)
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questions 4 and 5 refer to the following. a liquid storage tank is in t…
A. \(V(h(t))\)
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15. a motorist that has been stopped by a police officer at night shoul…
15. turn on interior light, open the window, hands on the wheel in view 16. you may switch lanes
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which function has an average rate of change over the interval x = 5 to…
\(C\)
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a definition for a function, f, is shown. $f(x)=\\frac{1}{x - 3}-\\frac…
D. the location of a removable discontinuity of \(f\)
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find a function of the form ( y = a sin ( k x ) + c ) or ( y = a cos ( …
\(y = 2\cos(\frac{\pi}{6}x)-2\)
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which level of government can print money?* state government central go…
Articles of Confederation - Both (as states could print money and central government had some limited monetary - related aspects too in a very restricted sense compared to later).…
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evaluate the expression \\( \\sin ^ { - 1 } \\left( \\cos \\left( \\fra…
\(\frac{\pi}{6}\)
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question 11 the graph above is a graph of what function? $y = \\cot(x)$…
\(y = \sec(x)\)
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question 11 the graph above is a graph of what function? $y = \\cot(x)$…
\(y=\sec(x)\)
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question 10 the graph above is a graph of what function? y = csc(x) y =…
\(y=\tan(x)\)
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given the equation ( y = 6\tan(3x + 6) ) the period is: the horizontal …
The period is \(\frac{\pi}{3}\). The horizontal shift is \(2\) units to the left.
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if \\( \\tan ( \\theta ) = \\frac { 8 } { 6 } \\), \\( 0 \\leq \\theta …
\(\sin(\theta)=\frac{4}{5}\), \(\cos(\theta)=\frac{3}{5}\), \(\sec(\theta)=\frac{5}{3}\)
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given the equation ( y = 6 cscleft( \frac{5pi}{4}x+\frac{35pi}{4} ight)…
The period is: \(\frac{8}{5}\) The horizontal shift is: \(7\) units to the left.
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question 4 based on the graph above, determine the amplitude, midline, …
Amplitude: \(2\) Period: \(4\) Midline: \(y=-1\)