微積分
極限、導関数、最適化、関数挙動。
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solve for x \\(\\int_{te}^{x} \\frac{adx}{m} + \\int_{0}^{\\theta} a^2 …
$x = am\theta + te$
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which unit of measure is most appropriate for measuring the area of a d…
A. square centimeters
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6. the graph shows part of an exponential function. find the domain and…
Domain: $[-2, 4]$, Range: $[10, 70]$
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integrate.\\(int left( \frac{2}{x} - 4e^x ight) dx = ?\\)\\(\\text{choo…
D. \(2\ln|x| - 4e^{x}+C\)
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solve. \\(1 \\dfrac{4}{5} + \\dfrac{1}{3} = \\underline{\\quad\\quad}\\)
\(2\frac{2}{15}\) (or \(\frac{32}{15}\))
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2. write the equation of the function g(x), in terms of x, given the in…
\( g(x)=-\sqrt{x + 2}+1 \)
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integrate.\\(\\int 18\\cos(x) dx\\)\\(=\\square + c\\)
$18\sin(x)$
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int (7x^{6} + 7x^{3} + 4) dx = \boxed{} + c
\(x^{7}+\frac{7x^{4}}{4}+4x\)
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$\\int x^{\\frac{1}{4}} dx = \\square + c$
$\frac{4}{5}x^{\frac{5}{4}}$
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composition of functions and modeling (there is a coordinate system wit…
- Graph A represents $p(q(x))$ - The composition of functions $p$ and $q$ is not commutative
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express the function graphed on the axes below as a piecewise function.
\(f(x)=\begin{cases}-6x - 30& \text{for }x\lt - 4\\-x& \text{for }x\gt5\end{cases}\)
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3x + 1/2y = -3
3
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check here for instructional material to complete this problem. perform…
\(343\)
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learn it systems of equations in the last activity, you began exploring…
1. The solution is at the intersection point of the two lines on the graph. 2. Substitute the point's x and y values into each equation in the system. If both equations are satisf…
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6. asymptote: domain: range:
Asymptote: Horizontal asymptote \( y = 0 \), Vertical asymptote \( x=-2 \) Domain: All real numbers \( x > - 2 \) (or \( (-2,\infty) \)) Range: All real numbers \( y > 0 \) (or \(…
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evaluate the integral using any appropri\\(\\int (\\csc x + \\tan x)^2 …
$\tan x - \cot x - x + 2\ln|\sec x + \tan x| + C$ (where $C$ is the constant of integration)
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use the graph of the function ( y = h(x) ) below to answer the question…
(a) No (b) 1 (c) $[-3, 1]$
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7 \\overline{\\$4 9.7 0}
$\$7.10$
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el gráfico de una función ( f ) se muestra a continuación. hallar ( f(-…
\( 0 \)
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practice analyzing a system of linear equations with one solution. grap…
$(-4, -6)$
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¿cuál fue un éxito clave del movimiento por el sufragio femenino antes …
La obtención del derecho al voto para las mujeres en algunos estados y territorios del oeste. ### Second Question (Failure/Limitation of Women's Suffrage Movement after 19th Amend…
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find the output, y, when the input, x, is 2. y =
$-2$
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which of the following are examples of limited resources in the part of…
time and money
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which of the following has the largest impact on opportunity cost? cons…
limited resources
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456.9 - 58.3= 78 x 125= 67.8 x 2.5=
$456.9 - 58.3 = 398.6$ $78 \times 125 = 9750$ $67.8 \times 2.5 = 169.5$
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the function $y = f(x)$ is graphed below. what is the average rate of c…
$-5$
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alexander hamilton (the federalist party) - believed that mostly the we…
Alexander Hamilton trusted wealthy, elite individuals and a strong central government (the governing elite), as his views prioritize their leadership, strict voting rules to limit…
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research methodology is very important to experimenters but is of limit…
False
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adding mixed numbers with different denominators step 1: find the least…
\(8\frac{5}{6}\) ### Parte b:
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in the selection from frankenstein, what does the creature most hope fo…
C. to gain their friendship ### Second Question (Multiple - Choice)
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analyzing the graph of a linear function consider the graph of the line…
Quadrant II, because the slope is positive and the y-intercept is negative
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a utility company says that the cost of operating a hair dryer is \\(\f…
2
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representing a graph with a slope-intercept equation a function f(x) is…
$y=2x+1$
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assume f is an even function and g is an odd function. assume f and g a…
2
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identify the key features of each rational function. 12. $f(x)=\\frac{-…
Horizontal Asymptote: \( y = -1 \) Vertical Asymptote(s): \( x = -4 \) Holes: None ### Problem 13: \( f(x)=\frac{2x + 6}{x^{2}-9} \)
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use shifts and scalings to transform the graph of $f(x)=\\sqrt{x}$ into…
For the transformation: D. Shift 6 units to the left. For the graph: A.
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evaluate the piecewise function at the given values of the independent …
(a) $h(3)=5$ (b) $h(0)=2$ (c) $h(2)=8$
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the functions f and g are defined as follows. $f(x) = \\frac{x^2}{x - 5…
Domain of $f(x)$: $(-\infty,5) \cup (5,\infty)$ Domain of $g(x)$: $(-\infty,8) \cup (8,9) \cup (9,\infty)$
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use shifts and scalings to transform the graph of $f(x)=\\sqrt{x}$ into…
D. Shift 6 units to the left.
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find an equation for the line below.
The equation of the line is \(y = -\frac{3}{4}x+\frac{11}{4}\) (or equivalent forms like \(3x + 4y=11\))
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evaluate the piecewise function at the given values of the independent …
(a) $f(-2) = -1$ (b) $f(0) = 5$ (c) $f(4) = 9$
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6-21. graph the lines $y = x + 2$ and $y = 2x - 1$ on the same set of a…
\((3, 5)\)
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16 for what value of x is \\(\\cos(x) = \\sin(14^\\circ)\\), where \\(0…
D. $76^\circ$
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writing a linear function choose the answer to complete each statement …
g(x) = (7/3)x - 3
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write an equation:
\( y = 2x + 4 \)
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7 multiple choice 10 points all money which is used in a market must be…
A. Uniform ### Question 8
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3x - 4(2.5) = 10
$x = -\frac{2}{3}$
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graphing an equation in slope-intercept form graph ( y = \frac{3}{4}x +…
(-4, 2)
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graphing an equation in slope-intercept form graph ( y = \frac{3}{4}x +…
### Table of points: | $x$ | $y$ | |-----|-----| | $-4$ | $2$ | | $0$ | $5$ | | $4$ | $8$ | To graph: Plot the points $(-4,2)$, $(0,5)$, and $(4,8)$, then draw a straight line thr…
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graphing an equation in slope-intercept form graph the linear function …
Slope = $-3$, y-intercept = $-2$ To graph: 1. Plot the y-intercept point $(0, -2)$ on the coordinate plane. 2. Use the slope $\frac{-3}{1}$: from $(0, -2)$, move 3 units down and …
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discussion questions - | fun facts about the life of jackson | write a …
### Discussion Questions - Fun Facts About the Life of Jackson | Fun Facts About the Life of Jackson | Write a + for admire & a - for problematic | Words to describe him | |------…
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what did the 1970 revision of the clean air act establish for the criti…
(Assuming the last option, though partially cut, is "ambient air quality standards") The correct option (the last one, likely "ambient air quality standards") as the 1970 Clean Ai…
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what did the 1970 revision of the clean air act establish for the criti…
(Assuming the last option, though partially visible, is "ambient air quality standards") The correct option (assuming the last one is "ambient air quality standards") as the 1970 …
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day 5 – the end of reconstruction and its impact sol focus: usii.2f not…
The end of Reconstruction, marked by the Compromise of 1877, drastically changed life in the South, especially for African Americans. When federal troops were ordered to withdraw,…
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graph this function. $f(x) = \\begin{cases} -x - 4 & \\text{if } x < 4 …
- Para la rama $f(x) = -x - 4$ ($x<4$): puntos graficados incluyen $(0, -4)$ y el punto abierto $(4, -8)$, con una línea que se extiende hacia la izquierda. - Para la rama $f(x) =…
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the graph of $f(x)=x^2$ is translated to form $g(x)=(x - 5)^2 + 1$. whi…
The graph with vertex at $(5,1)$ opening upward (the option shown in the lower grid with vertex at the point 5 units right and 1 unit up from the origin) is the correct representa…
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12. graph: $y = \\frac{4}{3}x$
The graph of \( y = \frac{4}{3}x \) is a straight line passing through the origin \((0,0)\) and the point \((3,4)\) (and other points satisfying the equation), drawn by plotting t…
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analyzing a relationship between functions justine graphs the function …
left 13 units, down 2 units
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$y = \\frac{1}{2}x + 4$ $y = -x + 1$ plot two lines by clicking the gra…
$(-2, 3)$
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determining characteristics of a graph consider the graph of the functi…
$(-\infty, -3)$
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graph the function. $y = -\\sqrt{x - 1}$ click to plot points on the gr…
The graph has an endpoint at $(1, 0)$, passes through $(2, -1)$, $(5, -2)$, $(10, -3)$, and is a downward-opening square root curve defined for $x \geq 1$.
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practice with quadratic functions in vertex form. what is the axis of s…
$x=2$ Vertex: $(2, 4)$
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3.) check the boxes that represent exponential functions.
Check the boxes for the second and fifth graphs (the ones with the exponential - growth - like and exponential - decay - like curves respectively).
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determine the domain on which the following function is decreasing.
$(-\infty, 1)$
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determine the domain on which the following function is decreasing.
$(6, 15)$
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1) select 2 different colors to sketch the graphs below $y = 3(2)^{x}$ …
For \( y = 3(2)^x \): | x | y | |----|------| | -2 | 0.75 | | -1 | 1.5 | | 0 | 3 | | 1 | 6 | | 2 | 12 | For \( y = 3(\frac{1}{2})^x \): | x | y | |----|------| | -2 | 12 | | -1 | …
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because people have unlimited wants and limited resources, they must 1 …
A. make choices about which wants to satisfy.
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the graph shows the function h(x) = n(0.5)^x a. the domain of h(x) is a…
# Explanation: ## Step1: Analyze Option A For the function \( h(x)=n(0.5)^x \), exponential functions of the form \( a^x \) (where \( a>0,a eq1 \)) have a domain of all real numb…
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in the united states, the government creates laws and regulations that …
limit
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what are aspects of a free - enterprise system? check all that apply. p…
- There are few limits on the use of private property. - Consumers make all of their economic choices. - Producers make all of their economic choices.
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what is regulation in an economic system? regulation is the placing of …
A. Regulation is the placing of limits or restrictions on business activity by the government.
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2 looking at the parent function of $f(x) = |x|$ how would the graph of…
The graph of $g(x)=|x|+5$ is the graph of the parent function $f(x)=|x|$ shifted **5 units vertically upward**. The vertex of $g(x)$ is at $(0,5)$, with one ray extending from $(0…
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consider a solid whose base is the region in the first quadrant bounded…
\( A(x)=(16 - x^{2})^{2}\) (or \(A(x)=x^{4}-32x^{2} + 256\)) ### Part b: Set up the integral for the volume
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evaluate. 12 + 8² ÷ 4
28
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use the aleks calculator to write \\(\\frac{9}{16}\\) as a decimal roun…
\(0.56\)
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given: $f(x) = 2x^2 - 4x + 10$ find: $f(-2)$ 26 -10 -26 10
26
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find the rate of change and initial value for the linear function. the …
Rate of change: $2$ Initial value: $-4$
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write true (t) or false for each question statement in the answer blank…
ideological differences with Hamilton, not indifference. 25. Hamilton acknowledged Jefferson's political and intellectual talents despite their rivalry. 26. Jefferson's political …
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find the rate of change and initial value for the linear function. the …
The rate of change is $\boldsymbol{-\frac{1}{2}}$ and the initial value is $\boldsymbol{5}$.
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44. robert drops a ball from his balcony. the height of the ball is mod…
d.2.6
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use the graphs of the rational functions in a to d on the right to answ…
A. Graph A, C. Graph C, D. Graph D
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if represents a function, only one of the graph choices presented will …
B. The graph that intersects the line $y=-3$ exactly once
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9. the idea of popular sovereignty, expressed in the u.s. constitution,…
Placing political authority in the hands of the people
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which of the following characteristics identifies the palace of versail…
It demonstrated the monarch's centralized power and control over the nobility
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which of the following is a limitation of using the excerpt to study th…
B. The speech was given during the period when this development occurred
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14. what position does the cartoon take on free speech? * a. speech sho…
B. Speech is applied selectively ### Question 15
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find the square root of the number. $2\\sqrt{-16}$ the square root is \…
$8i$
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6 to provide information about the setting and to pique students intere…
7. D. It helps the reader put him or herself in the place of the main character because it is as if the narrator is speaking directly to the reader 8. A. Hamilton was undeserving …
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use the exponential decay model, $a = a_0e^{kt}$, to solve the followin…
7.53
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the ideas expressed in the excerpt best reflect which of the following …
C. Debates emerged over the proper role of the United States in the world.
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p gives the population of a town t years after it was founded. what is …
B. After 2 years, the town's population decreased at a rate of 10 people per year.
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12. -/1 points the following graph is a transformation of the graph of …
\( h(x)=- (x + 1)^2+5 \) (or \( h(x)=-x^{2}-2x + 4 \))
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( x=-2,y = - 7 \) or the ordered pair \( (-2,-7) \)
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which of the following best describes the effects of bullying behavior?…
A. The damage caused by bullying behavior isn't limited to the targeted student.
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29. abraham lincoln’s primary goal during the war was to: a. end slaver…
29. B. Save the Union 30. B. Did not apply to Union states 31. B. Strengthened the Union war effort 32. B. Gettysburg Address 33. C. Maryland, Kentucky, Missouri, Delaware
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use the diagram to complete the statement. given △jkl, sin(38°) equals …
\(\cos(52^{\circ})\) (the option corresponding to \(\cos(52^{\circ})\))
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24. sherman’s march to the sea targeted: a. confederate soldiers only b…
24. B. Southern infrastructure and morale 25. C. Total war 26. A. Economic hardship and shortages 27. B. Took over jobs and managed households 28. C. Escaped to Union lines
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there is a triangle abc in the figure, with a perpendicular line h from…
\(\sin A=\frac{h}{c}\) (the second option)
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11. what is the slope of the line that passes through the points (5, 4)…
undefined ### Problem 12
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unit 1.2 functions and graphs day 1 homework date: 1. given that ( g(x)…
1. a. \(27\) b. \(-8\) c. \(-x^3\) d. \(64z^3\) 2. a. \(-1\) b. \(-7\) c. \(-11\) d. \(-2q^2-q-1\) e. \(-2y^2+3y-2\) f. \(-18w^2+3w-1\)