微積分
極限、導數、最優化與函數性質。
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use technology to find points and then graph the function $y = 2^{x+5} …
Points with integer coordinates: \((-5, -9)\), \((-4, -8)\), \((-3, -6)\), \((-2, -2)\), \((-1, 6)\) (and more can be calculated similarly for graphing).
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use technology to find points and then graph the function $y = 2^x - 4$…
The asymptote equation is \( y = -4 \), and four points with integer coordinates are \( (0, -3) \), \( (1, -2) \), \( (2, 0) \), \( (3, 4) \) (you can plot these on the graph). Th…
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adding 2-digit and 1-digit numbers in columns find the sum. 1) \\begin{…
\(56\) ### 2)
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both the defendant and the government benefit from plea bargaining. tru…
True ### Question 20 (Court for murder trial)
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adding 2-digit and 1-digit numbers find the sum. 1) \\begin{array}{r}\\…
59 ### Problem 6:
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supreme court court of general jurisdiction court of limited jurisdicti…
C. Court of Limited Jurisdiction
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use common logarithms or natural logarithms an\ \\(\\log_{26}390\\)\ \\…
1.8312 (corresponding to the option "1.8312")
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which of the following is described as the workhorse of the federal jud…
C. U.S. district courts
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which courts stand between trial courts and courts of last resort? inte…
A. intermediate court of appeal ### Second Sub - Question (Workhorse of the federal judiciary) (Note: Although the options are not fully shown, in the federal judiciary, the distr…
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why are the courts so frequently asked to deal with controversial publi…
D. The courts must interpret the vague language of Constitutional limitations on government. ### Second Question (Fill - in - the - blank)
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the graph of f is shown above. which of the following statements are tr…
d) II and III only
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question 6 of 25 in which direction does the left side of the graph of …
The left side of the graph points upwards (or in the positive \( y \) - direction).
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question 4 of 25 what is the maximum number of relative extrema contain…
3
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round each decimal to the nearest ten. then add or subtract. 10. 23.78 …
10. 30 11. 20 12. 20 13. 40 14. 20
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the democracy index measures countries on a scale of 1-10 in terms of h…
Most democratic (South and Southeast Asian countries): Taiwan (8.99), South Korea (8.03), East Timor (7.06). Lowest scoring: Myanmar (0.74), Laos (1.77). Low scores mean limited d…
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read the context below and answer the questions 7) brayden has 24 feet …
- Domain: \( 0 < x < 12 \) (or \( 0\leq x\leq12 \)) - Range: \( 0 < A(x)\leq36 \) (or \( 0\leq A(x)\leq36 \))
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evaluate the integral.\\(\\int \\frac{\\ln \\sqrt{8x}}{x} dx\\)\\(\\int…
\(\boxed{(\ln\sqrt{8x})^2 + C}\)
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7. let ( g ) be an odd function that is strictly increasing. selected v…
Assuming we need to find \( a \), \( b \), \( c \): \( a = -12 \), \( b = 4 \), \( c = 8 \) (If the question was to find specific values, but since the original question was cut o…
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6 ÷ 2(1+2) =
\(9\)
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6 ÷ 2(1+2) =
\(9\)
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find the horizontal shift. y = cos(5x + 2π) ? / π enter either + or -.
\(-\frac{2}{5}\) (the sign is \(-\), and the fraction is \(\frac{2}{5}\))
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simplify $5 + (16 + 2) \\div 3$ a 21.6 b 13 c 11 d 9 e 7.6
C. 11
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6 ÷ 2(1+2) =
\(9\)
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a line intersects the points (3, 6) and (5, -4). what is the slope of t…
\(-5\)
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question 17 $e^{ln 9x^3}$ ○ 3 ○ $9x^3$ ○ $e^{9x^3}$ ○ $ln 9x^3$
\( 9x^3 \) (corresponding to the option with text "9x³")
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a line intersects the points (-2, 9) and (3, -11). what is the slope of…
\(-4\)
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question 16 $10^{\\log 7}$ 7 70 10,000,000 0.00000001
7 (the option with the blue circle, or the first option: 7)
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the function g is defined as follows. g(x)=3x² - 1 if the graph of g is…
$f(x) = 3x^2 + 5$
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graph the function $f(x) = -x + 8$.
The graph of \(f(x)=-x + 8\) is a straight line passing through the points \((0,8)\) (y - intercept) and \((8,0)\) (x - intercept) with a slope of \(-1\). (To draw it, plot these …
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graph the function $g(x) = -2x - 3$.
To graph \( g(x)=-2x - 3 \), plot the y - intercept \( (0,-3) \), then use the slope \( - 2 \) to find additional points (e.g., \( (1,-5) \) or \( (-1,-1) \)) and draw a straight …
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the graph of $y = f(x)$ is shown below. find all values of $x$ where $f…
The values of \( x \) where \( f(x) = 0 \) are \( x = 4 \) and \( x = 6 \).
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find an equation for a negative cosine function having an amplitude of …
The first box is \(-3\), the second box is \(2\), the third box is \(6\). So the equation is \( y=-3\cos(\sqrt{2}x + \frac{\pi}{6}) \) and filling in the boxes: \( y=\boxed{-3}\co…
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the graph of $y = f(x)$ is shown below. find the value of $f(-3)$. (the…
\( 0 \)
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the graph of $y = f(x)$ is shown below. find all values of $x$ where $f…
\( x=-3 \)
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graph this line using the slope y = -8x + 1 click to select points on t…
To graph \(y = - 8x+1\), plot the y - intercept \((0,1)\) and use the slope \(-8\) to find another point (e.g., \((1, - 7)\) or \((-1,9)\)) and draw a line through these points.
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graph this line: $y + 2 = 4(x - 3)$ click to select points on the graph.
To graph the line \( y + 2 = 4(x - 3) \), first plot the point \( (3,-2) \). Then, using the slope \( m = 4\), find another point (e.g., \( (4,2) \) or \( (2,-6) \)) and draw a st…
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determine the domain on which the following function is increasing.
The function is increasing on the domain \( [0, 3] \) (or \( 0\leq x\leq3 \))
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determine the domain on which the following function is increasing.
The function is increasing on the domain \( [0, 7] \) (or \( 0\leq x\leq7 \))
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steve and carl are driving from scranton to bridgeport, a distance of 1…
C) 3 hours
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semester exam review solve the following exponential functions using lo…
s: 1. \( \boldsymbol{x = 1} \) 2. \( \boldsymbol{x = 8} \)
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-x + 2y > 6
To graph \(-x + 2y>6\), follow these steps: ## Step1: Rewrite the inequality in slope - intercept form (\(y = mx + b\)) Start with \(-x + 2y>6\). Add \(x\) to both sides: \(2y>x +…
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graph the inequality. 2x+3y≤12
To graph \(2x + 3y \leq 12\), follow these steps: ## Step 1: Graph the boundary line First, rewrite the inequality as an equation to find the boundary line: \(2x + 3y = 12\). - Fi…
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21 which of the following sentences describe a novel? it is longer than…
A. It is longer than a novella, looks at the many stages of life, and can follow a situation and its development.
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graph the inequality. $x + 4y \\leq -4$
To graph \( x + 4y \leq -4 \), follow these steps: ## Step 1: Rewrite in slope - intercept form First, solve the inequality for \( y \). Subtract \( x \) from both sides: \( 4y\le…
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evaluate the expression without using a calculator. \\log_{6} \\frac{1}…
\(-\frac{1}{2}\) (corresponding to the option \(-\frac{1}{2}\))
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y < -3x + 4
To graph \( y < -3x + 4 \): ## Step1: Graph the boundary line The inequality is \( y < -3x + 4 \). The boundary line is \( y=-3x + 4 \) (in slope - intercept form \( y = mx + b \)…
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what was the historical impact of the snyder act? (1 point) the snyder …
A. The Snyder Act gave Indigenous Americans U.S. citizenship, opening up the opportunity for voting rights.
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3.5.2 test (cst): decolonization, nation building, and the cold war who…
B. His commitment to continue military spending while also seeking disarmament
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how many zeros does the function $f(x) = x(x - 1)(2x + 4)^2$ have? (1 p…
4 (the option corresponding to 4, so if the options are as given, the answer is the first option, e.g., if the first option is "4", then the answer is 4)
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y < -4x + 5
To graph \( y < -4x + 5 \): ## Step1: Graph the boundary line The boundary line is \( y=-4x + 5 \). It has a slope of \(-4\) and a \(y\)-intercept of \(5\). Plot the \(y\)-interce…
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solve the quadratic equation. (enter your answers as a comma-separated …
\(1 - \frac{i\sqrt{70}}{2}, 1 + \frac{i\sqrt{70}}{2}\)
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graph the inequality. $y \\geq -\\frac{1}{2}x - 3$
1. Draw a solid line for \( y = -\frac{1}{2}x - 3 \) (passing through \( (0,-3) \) and \( (2,-4) \) etc.). 2. Shade the region above the solid line (the region that includes the p…
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what was the motivation behind the truman doctrine during the early yea…
B. To limit the spread of communism by supporting any country fighting for independence
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how many dots are in the nth term of the following sequence? terms: 1: …
D. \( 2n + 1 \)
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use the graph of the function to complete the table. input output 1 3 5…
For input 1, output is 8; for input 3, output is 5. (So the completed table cells: input 1 → 8, input 3 → 5)
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use the graph of the function to complete the table. input | output 5 |…
For input 6, output is 1; for input 7, output is 3. (Assuming the table has two blanks: one for 6, one for 7. The first blank (input 6) is 1, the second (input 7) is 3.)
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use the graph of the function to complete the table. input | output 2 |…
5
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use the graph of the function to complete the table. input | output 3 |…
6
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use the graph of the function to complete the table. input output 0 10 …
2
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{1}{4}\)
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what is the slope of this line? simplify your answer and write it as a …
\(2\)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{1}{4}\)
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what is the slope of this line? simplify your answer and write it as a …
3
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{2}{5}\)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{3}{4}\)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{3}{2}\)
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find the equation of the line perpendicular to $y = \\frac{1}{2}x + 8$ …
\( y - 3=-2(x - 5) \)
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find the equation of the line perpendicular to $y = -\frac{1}{8}x + 4$ …
\( y - 3 = 8(x - 2) \)
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evaluate the integral \\(\\int \\sqrt{-2 + 7s} \\, ds\\)
\(\frac{2}{21}(-2 + 7s)^{\frac{3}{2}}+C\)
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graph the equation. y - 2 = -5(x - 1) ... use the graphing tool to grap…
To graph \( y - 2=-5(x - 1) \): 1. Identify the point \( (1,2) \) from the point - slope form. 2. Plot \( (1,2) \). 3. Use the slope \( m=-5 \) to find additional points (e.g., \(…
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solve the inequality \\(-\\frac{5}{3}\\left(\\frac{9}{10}x + 15\ ight) …
The solution in interval notation is \((-4, \infty)\)
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inverse of functions challenge this is the only question in this sectio…
\( f^{-1}(x)=2x + 4 \)
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inverse of functions 8 this is the only question in this section. quest…
\( f^{-1}(x) = -8x + 15 \)
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inverse of functions 7 this is the only question in this section. quest…
\( f^{-1}(x) = -3x - 14 \)
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inverse of functions 6 this is the only question in this section. quest…
\( f^{-1}(x) = 7x + 4 \)
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which option is the best counterclaim for the following claim? the voti…
C. Teens are incapable of making informed decisions concerning politics. (Assuming the third option is labeled C; if labels were A, B, C for the three options in order, then the c…
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inverse of functions 5 this is the only question in this section. quest…
\( f^{-1}(x) = 2x - 5 \)
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deltamath inverse of functions 3 5.3 inverses of functions due december…
\( f^{-1}(x)=-\frac{1}{4}x+\frac{11}{2} \) (or equivalent forms like \( \frac{22 - x}{4} \))
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answer attempt 1 out of 2 the function is linear because as x increases…
The function is linear because as \( x \) increases, the \( y \)-values change additively. The common difference/slope of this function is \(-10\). (For the first dropdown: additi…
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question find $f^{-1}(x)$ if $f(x) = 3x + 5$. answer attempt 1 out of 9…
\( f^{-1}(x)=\frac{x - 5}{3} \) (or equivalent form like \( \frac{1}{3}x-\frac{5}{3} \))
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11. add: (-12.8) + (-10.2)
-23
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answer attempt 1 out of 2 the function is exponential because as x incr…
The function is \(\boldsymbol{\text{exponential}}\) because as \( x \) increases, the \( y \)-values change \(\boldsymbol{\text{multiplicatively}}\). The \(\boldsymbol{\text{commo…
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1. which inequality is represented by the graph below? graph of a line …
2) \(y\geq2x - 3\) ### Question 2
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5. how do you think most european countries reacted to the monroe doctr…
Most European countries were resentful of the Monroe Doctrine as it limited their colonial and interventionist ambitions in the Americas, but they often took little immediate acti…
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answer attempt 1 out of 2 the function is exponential because as x incr…
multiplicatively
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add the mixed numbers. simplify your answer if needed. 1 $2\\frac{2}{5}…
\( 4\frac{1}{5} \) --- Let's solve problem 2: \( 4\frac{5}{8} + 1\frac{4}{8} \)
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find the average rate of change of $f(x)=x^2 -4x + 1$ from $x = 3$ to $…
\( 6 \)
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find the average rate of change of $h(x) = -x^2 + 5x + 2$ from $x = 3$ …
\(-4\)
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which graph best represents the solution set to the system of inequalit…
D
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which graph best represents the solution set to the system of inequalit…
C
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find the domain of f(x). $f(x) = \\frac{2x + 9}{4x + 4}$ answer attempt…
\( (-\infty, -1) \cup (-1, \infty) \)
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for the system below, determine the solution set that satisfies the sys…
- Solution: Region satisfying \(y \leq 4x\) and \(y \leq -x + 5\) (includes \((0,0)\) etc.). - \(x\)-intercepts: For \(4x - y \geq 0\) is \((0,0)\); for \(x + y \leq 5\) is \((5,0…
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there is a function f that is quadratic and some of its ordered pairs a…
\( f(x) = -2(x + 5)^2 + 4 \) (or expanded form \( -2x^2 - 20x - 46 \))
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understanding words to know introduction: connect each word with the ph…
counsel - legal advice by a lawyer bail - money given for the temporary release of a person in custody discrimination - unequal or unfair treatment temporary - lasting for a limit…
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luis has 48 gallons of water in 8 buckets. how many gallons of water ar…
6
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question 31 (3 points) \\(\\log_{5}(125) =\\) \\(\\bigcirc 4\\) \\(\\bi…
3 (the option with "3") ### Question 32
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what is one of the main reasons for the high literacy rates in western …
advanced education
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low population density limited access to healthcare high population con…
high population concentrations
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based on the two articles you read, why might googles mission to give e…
C. A person would have less privacy
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26. find the horizontal asymptote(s) of each rational function. a) $f(x…
The horizontal asymptote of \( f(x) = \frac{3x - 15}{2x + 12} \) is \( y = \frac{3}{2} \).