Calculus
Limits, derivatives, optimization, and behavior of functions.
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directions: analyze the documents and answer the short - answer questio…
a) British government imposed taxes on colonists to cover war expenses, leading to colonial resentment. b) British attempts to limit western expansion by colonists angered the col…
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which option will provide the best outcome when saying no to harmful su…
Leave the location.
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reasoning a signal generator is used to generate signals for a lab expe…
1. \(2\) 2. All of the decreasing intervals indicate lengths of time when the frequency is decreasing. All of the decreasing intervals end at \(0\) Hz. 3. C. The decreasing interv…
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a rocket is launched in the air. the graph below shows the height of th…
The rocket's height is increasing on the interval \((0,25)\)
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christopher kicks a football. the graph below shows the height of the f…
The interval for which the football's height is increasing is \(0\lt t\lt1\)
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progressivism practice: multi-select select all of the concepts that we…
Increasing government influence over the economy, Ending political corruption, Improving the lives of citizens by fixing issues with urbanization.
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the batson v. kentucky ruling holds that: a. the use of “content” quest…
B. prosecutorial peremptory challenges based on race are unconstitutional.
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question 6 (1 point) listen what was one effect of jim crow laws on mar…
To prohibit interracial marriage
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question 3 (2 points) listen select all of the factors that enabled rac…
C. The Supreme Court affirmed the principle of "separate but equal" in the Plessy v. Ferguson decision D. Federal troops were removed from southern states after 1877
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question 4 (1 point) listen what was the main goal of the original ku k…
to use violence to limit the rights of African Americans
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question 2 (1 point) listen what impact does the supreme court ruling, …
It established the principle of'separate but equal' in segregation.
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the election of 1800 revealed what flaw in the u.s. constitution that l…
B. The method used by the Electoral College of electing the president and vice - president often resulted in a tie for president.
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the election of 1800 revealed what flaw in the u.s. constitution that l…
B. The method used by the Electoral College of electing the president and vice - president often resulted in a tie for president.
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# 4 $y=-4y$ and $y(0)=8$. particular solution: to advance in the circui…
The particular solution is $y = 8e^{-4x}$ and $y(2)=8e^{-8}$.
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# 3 \\( \\frac { d y } { d t } = - \\frac { 2 t } { y } \\), \\( y = - …
The particular solution is \(y^{2}=-2t^{2}+36\). When \(y=-3\sqrt{2}\), \(t = 3\) or \(t=-3\).
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# 2 \\( \\frac { d y } { d x } = \\frac { x } { y } \\) , \\( y ( - 1 )…
\(y = 8\)
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#1 $\\frac{dy}{dx}=2x$, $y(1)=7$ particular solution: to advance in the…
The particular solution is \(y=x^{2}+6\) and when \(x = 2\), \(y = 10\).
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read the excerpt from \the storyteller.\ how does the underlined senten…
It indicates that the aunt’s portrayal of right and wrong is inauthentic and unconvincing.
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read the research question. why do high school students not spend enoug…
It is clear and complex; this research question has a single focus that can be researched and discussed.
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initial discussion prompt read the scenario below and answer any questi…
1. The linear equation is \(y = 9.75x+780\) (where \(y\) is total cost, \(x\) is number of people). The cost for 50 people is \(\$1267.5\). 2. With a budget of \(\$1500\), you can…
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read the excerpt from the storyteller. the smaller girl created a diver…
- "The children moved listlessly towards the aunt’s end of the carriage." - "Evidently her reputation as a story - teller did not rank high in their estimation."
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initial discussion prompt read the scenario below and answer any questi…
1. The linear equation is \(y = 9.75x+780\) (where \(y\) is total cost, \(x\) is number of people). The cost for 50 people is \(\$1267.5\). 2. With a budget of \(\$1500\), you can…
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the figure above shows the graph of ( f ), the derivative of a twice - …
\(x = 1\) and \(x = 5\) are the values of \(x\) in the open interval \((0,8)\) for which \(f(x)\) has a local minimum. ### (b)
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most youths who join gangs have already been involved in delinquency an…
- Those involved with gangs are more likely to be cut off from their families. - Being involved with a gang increases the likelihood of dropping out of school. - Once a person bec…
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in the context of buying securities, which of the following statements …
A. It tells a broker to buy a stock only if its price is at or below a specified value.
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consider the following function. $y = 7x - 3\\tan(x)$, $\\left(-\\frac{…
\(y^\prime(x)=7 - 3\sec^{2}x\) \(y^{\prime\prime}(x)=-6\sec^{2}x\tan x\) \(c = 0\) concave upward: \((-\frac{\pi}{2},0)\) concave downward: \((0,\frac{\pi}{2})\)
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consider the following function. larcalc12 3.4.009.ep f(x)=\frac{13}{x^…
\(f^\prime(x)=\frac{-26x}{(x^{2}+12)^{2}}\) \(f^{\prime\prime}(x)=\frac{78x^{2}-312}{(x^{2}+12)^{3}}\) \(c=-2,2\) Concave upward: \((-\infty,-2)\cup(2,\infty)\) Concave downward: …
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determine the open intervals on which the graph of the function is conc…
concave upward: \((-\infty,0)\cup(\frac{9}{2},\infty)\) concave downward: \((0,\frac{9}{2})\)
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determine the open intervals on which the graph of the function is conc…
concave upward: \((-\infty,3)\) concave downward: \((3,\infty)\)
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use the root test to determine if the following series converges or div…
The series \(\sum_{n = 1}^{\infty}\frac{(n + 1)n}{36^{n}}\) converges.
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use the limit comparison test to determine whether the following series…
B. The series is convergent because \(0\leq\frac{1}{9n^{2}+29}\leq\frac{1}{n^{2}}\) for all \(n\) and \(\sum_{n = 1}^{\infty}\frac{1}{n^{2}}\) is convergent.
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simplify the expression. \\( \\sqrt { \\frac { 1 - \\cos 157 ^ { \\circ…
\(5\)
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an apple farm yields an average of 37 bushels of apples per tree when 2…
\(31\)
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a storage shed is to be built in the shape of a box with a square base.…
The length of one side of the shed's base is \(9\) ft. The height of the shed is \(18\) ft.
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find the following. tan \\frac{\\theta}{2}, given \\sin \\theta=-\\frac…
\(-\frac{2}{3}\)
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suppose that ( c(x)=3x^{3}-18x^{2}+14,000x ) is the cost of manufacturi…
\(3\)
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the u.s. supreme court has stated that \broadly speaking, crimes in the…
C. criminal
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given that \\( \\cos \\theta = - \\frac { 84 } { 85 } \\) and \\( \\sin…
$\sin2\theta=-\frac{2184}{7225}$ $\cos2\theta=\frac{6887}{7225}$
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use the given information to find (a) \\( \\sin (s+t) \\), (b) \\( \\ta…
(a) \(\sin(s + t)=-\frac{77}{85}\) (b) \(\tan(s + t)=\frac{77}{36}\) (c) Quadrant III
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use the given information to find (a) \\( \\sin (s+t) \\), (b) \\( \\ta…
(a) \(\frac{63}{65}\) (b) \(\frac{63}{16}\) (c) Quadrant I
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use identities to write the following expression as a function of z alo…
C. \(\frac{1+\tan z}{1-\tan z}\)
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find the exact value of the expression sin \frac { pi } { 12 } cos \fra…
$\frac{\sqrt{2}}{2}$
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use the cosine of a sum and cosine of a difference identities to find \…
\(\cos(s + t)=\frac{16}{65}\) \(\cos(s - t)=-\frac{56}{65}\)
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write the expression as a single function of α. cos (0° + α) choose the…
D. $\cos\alpha$
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simplify the expression by using an appropriate identity. do not use a …
\(0\)
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find the exact value of the expression given below. cos(-105°) cos(-105…
\(\frac{\sqrt{2}-\sqrt{6}}{4}\)
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determine all intervals on which the graph of $f$ is increasing.
The function \(f(x)\) is increasing on the intervals \((-\infty,-4)\) and \((6,\infty)\)
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question 6 (1 point) retake question the following is a graph of the fi…
The function \(f(x)\) is concave down on the interval where the slope of the first - derivative graph (given graph) is negative.
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in 1908, president theodore roosevelt addressed the governors conferenc…
D. It highlights the urgent need to plan ahead to protect natural resources, supporting a call for conservation.
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determine all intervals on which the graph of ( f ) is decreasing.
\((-\infty,-4)\)
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the expression below simplifies to a constant, a single function, or a …
\(\sec^{2}x\)
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question 5 (1 point) retake question the graphs a (blue), b (red), and …
\(A:f(x)\), \(B:f^{\prime}(x)\), \(C:f^{\prime\prime}(x)\)
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write the expression in terms of sine and cosine, and then simplify so …
E. \(\cot x\)
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find the remaining five trigonometric functions of ( \theta ). ( sin \t…
\(\cos\theta =-\frac{\sqrt{5}}{3}\), \(\tan\theta =-\frac{2\sqrt{5}}{5}\), \(\csc\theta=\frac{3}{2}\), \(\sec\theta =-\frac{3\sqrt{5}}{5}\), \(\cot\theta =-\frac{\sqrt{5}}{2}\)
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simplify the expression. \\( \\sqrt { \\frac { 1 - \\cos 1 3 9 ^ { \\ci…
\(2.747\)
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use an identity to write the expression as a single trigonometric funct…
\(41\)
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given that \\( \\cos 2 x = \\frac { 4 } { 5 } \\), with \\( \\frac { \\…
\(-\frac{3\sqrt{10}}{10}\)
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according to scandura (2021), which of the following is a limitation of…
research support for its reliability
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given that \\( \\cos 2 \\alpha = \\frac { 1 } { 3 } \\) and \\( \\alpha…
\(\frac{\sqrt{3}}{3}\)
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find the exact value of the function. \\( \\tan \\frac { \\beta } { 2 }…
\(-\sqrt{7}\)
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find the following. \\( \\tan \\frac { \\theta } { 2 } \\), given \\( \…
$\frac{12}{8}=\frac{3}{2}$
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use a half - angle identity to find the exact value. cos 157.5° cos 157…
$-\frac{\sqrt{2+\sqrt{2}}}{2}$
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use a sum - to - product identity to rewrite the expression. $sin 3alph…
\(2\sin\frac{9\alpha}{2}\cos\frac{3\alpha}{2}\)
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write the expression as a sum or difference of trigonometric functions.…
\(4\cos x - 4\cos9x\)
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use the product - to - sum identities to rewrite the expression. 2\\cos…
A. \(\sin\frac{14\pi}{45}-\sin\frac{4\pi}{45}\)
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write the expression as a sum or difference of trigonometric functions.…
\(\sin144-\sin48\)
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use an identity to simplify the following expression. \\frac{\\tan 17^{…
C. \(\frac{1}{2}\tan34^{\circ}\)
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use a double - angle formula to find the exact value of the given expre…
\(\frac{\sqrt{3}}{2}\)
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use identities to find values of the sine and cosine functions for the …
\(\cos\theta=\frac{9\sqrt{82}}{82}\)
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use identities to find the values of the sine and cosine functions for …
\(\cos\theta=\frac{5\sqrt{26}}{26}\)
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use the given information to find (a) \\( \\sin (s+t) \\), (b) \\( \\ta…
Quadrant I
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use the given information to find (a) sin (s + t), (b) tan (s + t), and…
\(\frac{5\sqrt{13}+12\sqrt{6}}{49}\)
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use the given information to find (a) \\( \\sin (s+t) \\), (b) \\( \\ta…
(a) \(\sin(s + t)=-\frac{84}{85}\) (b) \(\tan(s + t)=\frac{84}{13}\) (c) Quadrant III
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use the given information to find (a) \\( \\sin (s+t) \\), (b) \\( \\ta…
$-\frac{84}{85}$
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write the expression as a function of θ, with no angle measure involved…
\(-\sin\theta\)
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use identities to write the following expression as a function of z alo…
B. \(\frac{\sqrt{3}+\tan z}{1 - \sqrt{3}\tan z}\)
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write the expression as a function of x, with no angle measure involved…
$-\frac{\sqrt{3}}{2}\cos x-\frac{1}{2}\sin x$
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write the expression as a function of θ, with no angle measure involved…
\(\frac{1}{2}\cos\theta+\frac{\sqrt{3}}{2}\sin\theta\)
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find the exact value of the expression by using appropriate identities.…
\(\frac{\sqrt{3}}{2}\)
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read the quotations below from norton justers the phantom tollbooth. ma…
- "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. - "I often fi…
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use a sum or difference formula to find the exact value of the trigonom…
\(\frac{\sqrt{6}-\sqrt{2}}{4}\)
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use the cosine of a sum and cosine of a difference identities to find \…
\(-\frac{63}{65}\)
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use identities to reduce the expression to a function of α. cos(α + 180…
B. \(-\cos\alpha\)
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what most affected ancient west african trade? lack of transportation n…
lack of transportation
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solve the equation for all exact solutions where appropriate round appr…
D. \(\{180^{\circ}n,\text{ where }n\text{ is any integer}\}\)
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solve the equation for solutions over the interval 0°, 360°). \\(cot 0 …
\(33.3,163.1,196.9,326.7\)
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a company training program has determined that, on the average, a new e…
A. \(\lim_{s ightarrow\infty}P(s)=68\) D. The number of items a new employee produces gets closer and closer to \(68\) as the number of days of training increases.
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write the function value in terms of the cofunction of a complementary …
\(\cos43^{\circ}=\sin(47^{\circ})\)
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simplify the expression by using an appropriate identity. do not use a …
\(0\)
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a company training program has determined that, on the average, a new e…
\(\lim_{s ightarrow\infty}P(s)=68\). This means that as the number of days of on - the - job training \(s\) becomes extremely large (approaching infinity), the average number of i…
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find the exact value of the expression given below. \\( \\cos \\left( \…
\(\frac{\sqrt{6}-\sqrt{2}}{4}\)
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find the exact value of the expression given below. cos (105°) cos (105…
\(\frac{\sqrt{2}-\sqrt{6}}{4}\)
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question 10 of 10 why did populists support limits on immigration? a. t…
C. To decrease competition for jobs
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1. informed consent is best approached as an ongoing process o a. true …
1. a. True 2. a. True 3. b. False 4. b. If the minor expressed an intent to harm themselves
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write the expression in terms of sine and cosine, and then simplify the…
$\sin x$
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how did the supreme court limit the success of reform during the progre…
The court struck down progressive laws because of minor technicalities.
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2. the composite function ( z = x+sinleft(\frac{y}{x} ight) ) with ( y …
D. \(z_{x}^{\prime}=1-\frac{y}{x^{2}}\cos(\frac{y}{x})\), \(\frac{dz}{dx}=1+\cos x\)
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7. let ( f(x,y)=xysin(2y) ) with ( y = e^{x}+x ). calculate ( \frac{df}…
A. \(y\sin(2y)+x(\sin(2y)+2y\cos(2y))(e^{x}+1)\)
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2. the composite function ( z = x+sinleft(\frac{y}{x} ight) ) with ( y …
D. \(z_{x}' = 1-\frac{y}{x^{2}}\cos(\frac{y}{x})\), \(\frac{dz}{dx}=1+\cos x\)
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2. the composite function ( z = x+sinleft(\frac{y}{x} ight) ) with ( y …
D. \(z'_x = 1-\frac{y}{x^{2}}\cos(\frac{y}{x})\), \(\frac{dz}{dx}=1 + \cos x\)