微积分
极限、导数、最优化与函数性质。
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11. $y = \\frac{-3}{5}x + 4$
The line $y=\frac{-3}{5}x+4$ is graphed by plotting the y-intercept $(0,4)$ and using the slope $\frac{-3}{5}$ to find additional points, then connecting them with a straight line…
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which is 6 groups. in other words: (an image here) or $4\\div \\frac{2}…
$6$
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10. $y = -3x + 5$
The line $y=-3x+5$ is graphed by plotting the y-intercept $(0, 5)$ and the point $(1, 2)$, then connecting them with a straight line that extends in both directions across the coo…
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(int x^{9}ln x dx)
$\frac{x^{10} \ln x}{10} - \frac{x^{10}}{100} + C$ (or equivalent factored form)
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if the ation. show this point on the graph. 9. $y = \\frac{1}{3}x + 2$
One point on the graph is $\boldsymbol{(3, 3)}$. To plot it: start at the origin $(0,0)$, move 3 units to the right along the x-axis, then 3 units up along the vertical direction …
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text 1 in 2019, boston’s health department tested a system that tracked…
B. As self - defeating, since the justification for the proposal depends on a relationship that the proposal itself would render unverifiable.
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the following text is from edith whartons 1905 novel the house of mirth…
D. It conveys the degree to which the character is dependent on her particular circumstances.
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other than (3, 5) that is 8. ( y = 2x - 1 )
The line $y=2x-1$ is graphed by plotting the points $(0, -1)$, $(3, 5)$, $(-1, -3)$ and drawing a straight line through them, spanning the coordinate grid.
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what is the magnitude of \\(vec{v}\\)? \\((8, -2)\\) \\(|vec{v}| = ?\\)…
8.25
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the graph of $y = f(x)$ is shown below. according to the graph, what is…
1
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find the limit. (if the limit is infinite, enter ∞ or -∞, as appropriat…
\(\infty\)
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question given $f(x) = -x^2 - 8x + 6$, find $f(-5)$
11
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question given $f(x) = -x^2 - 8x + 6$, find $f(-5)$
11
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state the domain and range. 5. $f(x) = \\frac{2x(x - 4)}{(x - 6)(x + 3)…
Domain: $\boldsymbol{(-\infty, -3) \cup (-3, 6) \cup (6, \infty)}$ Range: $\boldsymbol{(-\infty, \infty)}$ (all real numbers)
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which of the following is a characteristic of an unstructured interview…
C. Common in small businesses
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question given ( h(x) = -3x + 2 ), find ( h(-6) ).
20
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the graph of $y = f(x)$ is shown below. which point could be used to fi…
C. \( C \)
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given the functions $f(x) = 3x^4$ and $g(x) = 9 \\cdot 3^x$, which of t…
\( f(3) = g(3) \) (the option with \( f(3) = g(3) \))
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skill #5: i can solve systems of linear equations by graphing. solve ea…
s: a) The solution of the system \( \begin{cases}y = -\frac{1}{3}x + 2\\y=-2x - 3\end{cases} \) is \( x=-3,y = 3 \) or the ordered pair \( (-3,3) \) c) The solution of the system …
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find the limit. (if the limit is infinite, enter ∞ or -∞, as appropriat…
8
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consider the equation $-5 \\cdot e^{10t} = -30$. solve the equation for…
$t = \frac{\ln(6)}{10}$ $t \approx 0.179$
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given the functions $f(x) = 2x^5$ and $g(x) = 8 \\cdot 4^x$, which of t…
\( f(4) = g(4) \) (the option with this statement)
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question find $g(-3)$. $g(x)$ $h(x) = 2x^2 + 5x - 2$
\( 2 \)
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find $f(3)$. $f(x)$ $g(x) = 2x^2 - 5x - 4$ $\\begin{array}{|c|c|} \\hli…
\( \boxed{1} \)
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in the equation f(x)=5(x+3)²-10 what does transformation does the 5 cau…
Vertical Stretch by 5
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question find ( h(1) ). ( h(x) = -3x + 1 )
\( h(1) = -2 \)
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which of the following shows a vertical compression of the parent funct…
\( y=\frac{3}{5}x^{2} \) (the blue boxed function)
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question find ( h(-3) ). ( h(x) = 3x + 5 )
\( -4 \)
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you might need: calculator evaluate the logarithm. round your answer to…
3.903
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question find the value of $f(6)$. $y = f(x)$
\( -7 \)
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find the value of $f(-6)$. $y = f(x)$
6
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which of the following is equivalent to \\(\\log_{c}(16) \\cdot \\log_{…
A. 4
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6. $y = 4x - 6$ | $x$ | $y$ | | --- | --- | | | | | | | | | | | | |
## Completed Table: | \(x\) | \(y\) | |-------|-------| | 0 | -6 | | 1 | -2 | | 2 | 2 | | 3 | 6 | ## Graph Instructions: Plot the points \((0, -6)\), \((1, -2)\), \((2, 2)\), \((3…
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the graph of $y = \\log_{2} x$ is shown below. which of the following i…
B. <The graph with vertical asymptote $x=4$, decreasing as $x$ increases, passing through positive x-values right of 4>
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3. $y = x + 3$ and $y = -2x + 3$ solution:
The two lines intersect at the point $(0, 3)$. To graph: - Plot $y=x+3$ using points $(-3, 0)$ and $(0, 3)$ - Plot $y=-2x+3$ using points $(1.5, 0)$ and $(0, 3)$
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keisha is reading a novel for her english class. she has already read s…
1. linear 2. slope - intercept form 3. slope; y - intercept 4. 25; 50 5. y - axis 6. rise; run 7. 1 8. line
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math 3 study guide: lc #1 transformations (f - bf.3) name: ______ date:…
1. Graph to parent function matches: - Hyperbola graph: Rational function family (parent $f(x)=\frac{1}{x}$) - Exponential curve: $f(x)=2^x$ - Cubic curve: $f(x)=x^3$ - Square roo…
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12. which of the following is equal to \\(\\frac{4}{7} \\times \\frac{7…
C. $\frac{4 \times 11}{7 \times 15} = \frac{44}{105}$
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spiral review estimate by rounding the 2 - digit factor to the nearest …
$46 \times 3$ Estimate: $150$ $46 \times 3 = 138$ $68 \times 5$ Estimate: $350$ $68 \times 5 = 340$
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11. find the product of \\(\frac{7}{8} \\times \frac{9}{10}\\). then wr…
The product is $\frac{63}{80}$. One equivalent product is $\frac{14}{16} \times \frac{9}{10}$ (other valid equivalent fraction pairs are also acceptable).
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consider the exponential function h. what is the domain of h? choose 1 …
B. The domain of $h$ is all real numbers.
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evaluate the logarithm. round your answer to the nearest thousandth. 6\…
20.118
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unit test\ \\(\\log_{4}8 = \\square\\)
$\frac{3}{2}$
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decimals: tenths write the decimal names as a standard decimal number. …
decimal number: $1.1$ fraction or mixed number: $1\frac{1}{10}$
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function a\ \\begin{tabular}{|c|c|}\\hline x & y \\\\ \\hline -5 & -20 …
The slope of Function A is greater than the slope of Function B.
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1. the graph of ( y = x^2 ) is reflected in the x - axis, compressed ve…
$y = -\frac{1}{3}(x+2)^2 - 1$ --- ### Problem 2
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study guide: lc #1 piecewise directions: show all work. work must prove…
$-\frac{5}{2}$ ---
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enter the decimal equivalent of \\(\frac{9}{11}\\). first: after showin…
Repeating decimal The decimal equivalent is $0.\overline{81}$
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8. f(x) = 2x² - x + 1 g(x) = 4x + 3
If finding \( f(g(x)) \), the result is \( \boldsymbol{32x^2 + 44x + 16} \) (if the intended operation was different, adjust the steps accordingly).
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multiple choice question on a production possibilities frontier (ppf), …
O allocated inefficiently and suboptimally
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which point of view does the narrator use in the passage? when he had s…
third person limited
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the fdic insured deposit limit is $300,000 $250,000 $200,000 $150,000 f…
$250,000
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graph the line. y = 2x - 6
# Explanation: ## Step1: Identify the slope and y-intercept The equation \( y = 2x - 6 \) is in slope - intercept form \( y=mx + b \), where \( m \) is the slope and \( b \) is th…
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5. a plane is going to fly 300 miles at a planned speed of 530 mph. the…
A. $T(110)$ is the total travel time (in hours) for the 300-mile flight when the average headwind speed is 110 mph. B. The graph has a vertical asymptote at $w=530$. This is found…
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question 6 if (int_{-3}^{8} h(s) ds = 7) and (int_{4}^{8} h(s) ds = 4.4…
2.6
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given that \\(\\int_{1}^{6} f(x) dx = \\frac{35}{13}\\), what is \\(\\i…
$\boldsymbol{-\frac{35}{13}}$
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8. which statement describes the end behavior of $f(x) = -4x^4 + 2x^3 -…
8. D. As x approaches $-\infty$, $f(x)$ approaches $-\infty$ and as x approaches $\infty$, $f(x)$ approaches $-\infty$ 9. C. As $f(x)$ approaches $-\infty$, x approaches $\infty$ …
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fill in the blank question blank means that resources are limited. need…
Scarcity
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solve the following system of equations graphically on the set of axes …
The solution is the intersection point $(3, 4)$ To plot the lines: 1. For $y=-\frac{1}{3}x+5$, plot $(0,5)$ and $(3,4)$, then draw the line through them. 2. For $y=2x-2$, plot $(0…
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1 a linear function and exponential function have been drawn on the sam…
4
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name: monday solve. 17.003 - 0.374
$16.629$
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2.465 ÷ 2.5=
0.986
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etch the graph of the function by applying the leading coefficient test…
The graph of the function falls to the left and rises to the right. ### Part (b)
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find the slope of a line perpendicular to the line whose equation is ( …
$1$
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160.8 ÷ 0.3 =
536
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etch the graph of the function by applying the leading coefficient test…
### Part (a) The Leading Coefficient Test depends on the degree (even or odd) and the leading coefficient (positive or negative) of the polynomial. For \( g(x) = x^4 - 16x^2 \), t…
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desperate times, limited measures, 1938–1941 11:40–21:06 despite a grow…
4. Jewish refugees faced strict national-origin immigration quotas, complex bureaucratic hurdles, widespread anti-Semitism/nativism, and economic-based resistance from Americans w…
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204 ÷ 0.6 =
340
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which factor best explains why the black death spread along mediterrane…
Sea routes enabled faster movement than land routes
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consider the following.\\( f(x) = x^3 - 2x^2 - 9x + 18 \\)\\( \\text{(a…
\( -3, 2, 3 \) ### Part (b)
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subtracting 4 - digit numbers, with regrouping grade 4 subtraction work…
\( 1701 \) ### Problem 2: \( 2369 - 1223 \)
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consider the following.\\( f(x) = 3x^4 - 12x^2 - 36 \\)\\( \\text{(a) f…
\( -\sqrt{6},\sqrt{6} \) ### Part (b) For a zero \( x = a \) of a polynomial \( f(x)=(x - a)^{n}g(x) \) where \( g(a) eq0 \), the multiplicity of \( a \) is \( n \). - For \( x=-…
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4) 25.2 ÷ 14 =
1.8
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given the piecewise function shown below, select all of $f(x)=\\begin{c…
A. $f(1) = 5$ B. $f(2) = 4$
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express in simplified form. \\sqrt3{135} \\sqrt3{135} = \\square \\cdot…
$\sqrt[3]{135} = 3 \cdot \sqrt[3]{5}$
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7. write a linear equation for each function. which function has the gr…
The linear equation for the table - based function is $y = 8x-4$, for the graph - based function is $y=x - 5$. The function represented by the table (with equation $y = 8x-4$) has…
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select the correct answer. a box of pencils costs $10. the total cost (…
A. all positive integers and zero
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what is the slope of this line? is the slope positive or negative? a) p…
Slope: $3$ Slope sign: a) positive
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f(x) = \\log_{3}(x) + \\log_{3}(x) + \\log_{3}(9) + \\log_{3}(x - 4) - …
- Domain (interval notation): \( (4,\infty) \) - Domain (inequality notation): \( x > 4 \) - Range (interval notation): \( (-\infty,\infty) \)
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arrange the functions in ascending order, starting with the function th…
The functions in ascending order (from least to greatest eventual value) are: \( 5x \), \( 5x + 3 \), \( x^2 \), \( x^2 + 4 \), \( 7^x \), \( 8^x + 3 \)
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6) \\( \\int y^5 \\sqrt{y + 8} \\, dy \\)\ \\( u = y + 8 \\)\ \\( \\fra…
\( \frac{5(y + 8)^{\frac{11}{5}}}{11}-\frac{48(y + 8)^{\frac{6}{5}}}{5} + C \) (assuming the integral was \( \int y\sqrt{y + 8} dy \) with a typo, or correcting the expansion for …
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how to graph absolute value functions graphing absolute value functions…
0
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greatest integer function practice evaluate the following examples of t…
$\lfloor 3.4 floor = 3$ $\lfloor 0.8 floor = 0$ $\lfloor -1.7 floor = -2$ $\lfloor -3.5 floor = -4$
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graph each equation. 7. $y = 5x + 1$ 9. $y = 3x + 3$ (there are also so…
### For $y=5x+1$: Completed table: | Input $(x)$ | $5x+1$ | Output $(y)$ | |-------------|--------|--------------| | 0 | $5(0)+1$ | 1 | | 1 | $5(1)+1$ | 6 | | 2 | $5(2)+1$ | 11 | …
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evaluate exponents, pos/neg base this is the only question in this sect…
64
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graph this line using the slope and y-intercept: y = 3x + 3 click to se…
To graph \(y = 3x + 3\), plot the y - intercept \((0,3)\) and use the slope \(m = 3\) to find another point (e.g., \((1,6)\) or \((-1,0)\)) and draw a straight line through these …
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name hw3 12. $y = \\begin{cases} 2x, & \\text{if } x < -2 \\\\ 2, & \\t…
The graph consists of three parts: a line \( y = 2x \) (for \( x < -2 \)), a horizontal line \( y = 2 \) (for \( -2\leq x < 2 \)), and a line \( y=-2x \) (for \( x\geq2 \)). The k…
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find the slope of the line that passes through (30, 56) and (33, 8). si…
\( -16 \)
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determine whether the following graph represents a function. answer att…
The graph \(\boldsymbol{\text{does}}\) represent a function because every vertical line intersects the graph at most once (passes the vertical line test, meaning each \(x\) - valu…
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405.2 ÷ 0.8 =
506.5
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1.255 ÷ 5=
0.251
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determine the domain on which the following graph of $f(x)$ is negative.
The domain on which \(f(x)\) is negative is \(x < - 6\) or \(x>-2\) (in interval notation, \((-\infty,-6)\cup(-2,\infty)\))
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65.32 + 2.3
67.62
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matching: please use your amendment sheet above to help you with the sc…
To solve the matching, we analyze each scenario with constitutional amendments: ### Q13: Scenario C: "US Senators are directly elected by the people/voters from each state" matche…
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the point (-12,16) lies on the terminal side of an angle θ. find the ex…
\(\sin\theta=\frac{4}{5}\) \(\cos\theta=-\frac{3}{5}\) \(\tan\theta=-\frac{4}{3}\) \(\csc\theta=\frac{5}{4}\) \(\sec\theta=-\frac{5}{3}\) \(\cot\theta=-\frac{3}{4}\)
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for the equation $y = x^3 + 1$, (a) create a table with ordered pairs t…
For \( x = -1 \), \( y = 0 \); For \( x = 0 \), \( y = 1 \); For \( x = 1 \), \( y = 2 \); For \( x = 2 \), \( y = 9 \). The completed table is: | x | y | |---|---| | -1 | 0 | | 0…
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for the following equation, (a) give a table with at least three ordere…
5
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consider the following.\\(f(x) = x^5 + x^3 - 42x\\)\\(\\text{(a) find a…
\(-\sqrt{6},0,\sqrt{6}\) (or approximately \(-2.45,0,2.45\))
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9. critique reasoning find the error in the work below. then show the c…
The error is in the multiplication of \(\frac{1}{12}\) and \(6\) (it was calculated as \(\frac{1}{72}\) instead of \(\frac{1}{2}\)). The correct calculation is \(\frac{8}{12}\time…
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type the correct answer in each box. use numerals instead of words. the…
The polynomial has 3 real zeros and 0 complex zeros.