微积分
极限、导数、最优化与函数性质。
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6+4.5÷2-8×1.5
\(-3.75\)
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3) $6 + 4.5 \\div 2 - 8 \\cdot 1.5$ 4) $x = -3$, $y = -7$, $z = $ (inco…
\(-3.75\)
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find the quotient and the remainder. 1 7 5 \\overline{)2, 6 7 7} \\text…
Quotient: \(15\), Remainder: \(52\)
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solve the exponential equation. approximate your answer to the nearest …
\( x \approx 0.615 \)
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write the equation of the polynomial shown below in standard form. be s…
\(y = x^{3}-6x^{2}+9x\)
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amount vs time what is the slope of the line shown? (x, y) point 1 (1,6…
slope = -1
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2) 2³×(152÷8) - 52
100
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find the indicated value of the logarithmic function. ln(1)
\( 0 \)
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slope = (change in y)/(change in x) = (1 - 2)/(4 - 2) = (-1)/2 = dropdo…
\(-\frac{1}{2}\) (or \(-0.5\))
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1) $5^2 + (6.7 - 3.1)$
28.6
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standardized test questions you may use a graphing calculator to solve …
True ### Question 47
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find the indicated value of the logarithmic function. \\( \\ln (e^{2x})…
$2x$ (which corresponds to option B)
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obtain an approximate value for the logarithm using natural logarithms.…
1.271
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amount vs time what is the slope of the line shown? (6, 8) (x, y) amoun…
slope = 4/3
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use the coordinates of the plotted points to complete the calculation b…
\(\frac{-1}{2}\) (or \(-\frac{1}{2}\))
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y = 7x - 18 y = 2x + 7
The solution is \( x = 5 \), \( y = 17 \)
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as $x\\to\\infty$. explain. 41. comparing logarithm and power functions…
To show \( \ln x \) grows slower than \( x^{1/n} \) (or \( x^a \)) as \( x \to \infty \): 1. Use the limit \( \lim_{x \to \infty} \frac{\ln x}{x^k} \) ( \( k=\frac{1}{n}>0 \) or \…
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introduction to slope - item 32607 use the coordinates of the plotted p…
The first yellow box (change in \(y\) numerator) is \(1\), the second yellow box (change in \(x\) denominator) is \(2\). So filling in: \(\frac{1 - 2}{4 - 2}\) (numerator: \(1\), …
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what is the equation of the line in slope-intercept form that is perpen…
A. \( y = -\frac{4}{3}x - 6 \)
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an angle measures \\(\\frac{7}{9}\\pi\\) radians. what is the degree me…
140° (corresponding to the option with 140°)
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solve the equation. round answers to four decimal places. $1.57^{4x}=2$…
\(x\approx0.3842\)
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find the approximate solution to the following equation. $e^{5x} = 7$ $…
\( x \approx \boxed{0.3892} \)
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introduction to slope - item 32606 what is the slope of this graph? (1,…
\(-1\)
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a. identify the horizontal asymptote (if any). b. if the graph of the f…
a. \( y = 0 \) b. Graph does not cross \( y = 0 \) (The option corresponding to this is: "a. \( y = 0 \); b. Graph does not cross \( y = 0 \)")
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the function $f(x) = 4x^3 - 7x^2 - 34x - 8$ has at least one rational r…
The roots are \(x = 4\), \(x=-2\), \(x = -\frac{1}{4}\) (for the first root asked in the box, a rational root is \(4\) (or \(-2\) or \(-\frac{1}{4}\), but \(4\) was found first in…
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the number of grams of a certain radioactive substance present at time …
The number of grams present at time \( t = 0 \) is \( \boldsymbol{500.00} \). The number of grams present at time \( t = 800 \) is \( \boldsymbol{0.00} \).
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introduction to slope - item 52605 use the coordinates of the plotted p…
-1
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5. briefly explain the new economic policy.
The New Economic Policy (NEP, 1921 - 1928 in Soviet Russia) was a policy by Lenin to address post - War Communism economic crisis. It reintroduced limited market elements: allowed…
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4. use three unit multipliers to convert 40 meters to feet. 5. the area…
### (a) The radius \( r=\frac{5}{\sqrt{\pi}}\space\text{in}\approx2.82\space\text{in} \) (or \( \frac{5\sqrt{\pi}}{\pi}\space\text{in} \)). ### (b) The circumference \( C = 10\sqr…
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solve the equation. round answers to four decimal places. $(1 + r)^5 = …
\(r\approx\boxed{0.3095}\)
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a. identify the horizontal asymptote (if any). b. if the graph of the f…
a. \( y = 0 \) b. Graph does not cross \( y = 0 \) (The corresponding option is: a. \( y = 0 \); b. Graph does not cross \( y = 0 \))
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question 4 of 10 who is in kohlbergs postconventional stage? a. jon, wh…
C. Dan, who raises money to buy school supplies for children in Haiti
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determine if the relation defines y as a one-to-one function of x. imag…
No
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interpreting slope - item 21024 what is the slope of the line shown? im…
The correct option is the one with \(slope = -2\) (the bottom right option, with the radio button next to it). So the answer is the option labeled "slope = -2" (the fourth option,…
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evaluate $-6 \\times (-5) + (-6)$.
24
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what is the range of this function? y = 5|x - 7| all real numbers {y|y …
\(\{y|y \geq 0\}\)
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part 1 of 3 indicate which intervals are increasing, decreasing, or con…
C. (3)
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31) mark shoots a basketball 25 feet from the basket. the path of the b…
12 feet ### Part (b)
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what is the range of this function? y = |-4x| - 4 {y|y > -4} {y|y ≥ 0} …
\(\{y|y\geq - 4\}\)
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what is the range of this function? y = |x - 5| + 3 {y|y > 3} all real …
\(\{y|y \geq 3\}\)
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which narrative point of view is shown in the passage? harbor street, f…
second person
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for the function, find $f^{-1}$.\\(f(x) = \\log_{15}(x)\\)\\(f^{-1}(x) …
\( f^{-1}(x) = 15^x \)
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what is the range of this function? y = |x + 3| + 3 {y|y ≥ -3} {y|y ≤ 3…
\(\{y|y\geq3\}\)
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which narrative point of view is shown in the passage? pa and vernon ar…
first person
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what are the domain and range of this function? y = -2|x| domain: {x | …
C. domain: all real numbers, range: \( \{y | y \leq 0\} \) (assuming the third option is labeled C; if the options are unlabeled, the correct one is the third option in the list: …
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which narrative point of view is shown in the passage? the traffic of t…
first person
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what are the domain and range of the function $f(x)=\\sqrt{x - 7}+9$? \…
domain: $x\geq7$ range: $y\geq9$ (corresponding to the option "domain: $x\geq7$; range: $y\geq9$")
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which narrative point of view is shown in the passage? although self - …
second person
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which narrative point of view is shown in this passage? grover’s face, …
second person
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which narrative point of view is shown in the passage? the door opens, …
B. second person
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question 5 determine the vertical asymptote(s) of the graph of the func…
\(x = 6\) and \(x = -\frac{4}{7}\) (corresponding to the option "x = 6 and x = \(-\frac{4}{7}\)")
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which narrative point of view is shown in the passage? elizabeth looked…
third person limited
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what are the domain and range of this function? y = |-3x - 18| domain: …
domain: all real numbers, range: \(\{y|y\geq0\}\) (the fourth option)
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a one-to-one function is given. write an expression for the inverse fun…
\( f^{-1}(x) = \sqrt[3]{\frac{x + 3}{7}} \) (the third option)
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30) the figure below shows the parabolic path for a scuba divers dive o…
a) The initial height of the scuba diver is \(\boldsymbol{0}\) feet. b) The minimum height of the diver is \(\boldsymbol{- 30}\) feet (or 30 feet below the surface). c) The diver …
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alberta diploma question a rain gutter is made from sheets of aluminum …
\( 6.3 \)
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simplify. $3^{\\log_{3}(966)}$ $3^{\\log_{3}(966)} = \\square$
\( 966 \)
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the student photo club at the college is planning on selling prints tha…
(for part a): 47
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alberta diploma question the following statements were made about the p…
I, II, and IV
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why is it important to limit the amount of personal information you sha…
D. To make it harder for social engineers to create targeted attacks against you
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write the following equation as an equivalent exponential equation. ln(…
$e^{x}=11$
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find the slope of the line passing through the given pair of points. (-…
A. \(-15\)
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identify the graph of the following function, given that a > 0. f(x) = …
The first graph (the top - left graph)
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3. (15 points) find the equation of the tangent line to the curve $y = …
Equation of tangent line: $y = 2x + 1$; Slope intercept: 1
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5.11 solving optimization problems test prep 10. let $f(x) = xe^{-x} + …
6
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abc furniture unlimited sells antique furniture. abc will most likely u…
C. Specific identification
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order of operations ccss.math: 6.ee.a.2, 6.ee.a.2.c order the expressio…
\(2^1 + 3^1\), \(2^3 - 2^1\), \(3^2\)
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finals review #1 - radicals, exponents, sequences, and key features sim…
$5x^3\sqrt{2x}$ ### Problem 2: Simplify $\boldsymbol{3\sqrt[3]{48x^3y^7z}}$
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consider the following graph. a) on what interval(s) is the function in…
\( (0, 3) \) (assuming the actual x-values, but based on the graph, the increasing interval is from the start to the peak before decreasing) ### Part (b)
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identify each characteristic for the graph of the function shown. decid…
The function has extrema (so "Add extremum" is the correct choice for the radio button), and the statement describing the function is "Both increasing and decreasing". For the "Ex…
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in exercises 35–38, only one of the following is true. i. ( f ) grows f…
i. \( f \) grows faster than \( g \) ### Problem 36
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identify each characteristic for the graph of the function shown. decid…
- Decide whether the function has extrema: Add extremum - As \( x \to -\infty \), \( y \to \infty \) (or \( +\infty \)) - As \( x \to \infty \), \( y \to \infty \) (or \( +\infty …
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identify each characteristic for the graph of the function shown. selec…
For the y - intercept: \((0,0)\) For the x - intercept: \((0,0)\) For extrema: No extrema For the function's description: Continually decreasing (already selected) For the interva…
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the function $y = f(x)$ is graphed below. what is the average rate of c…
\(-\frac{5}{9}\)
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27) $g(x) = \\frac{1}{3}|x + 2| + 6$
To graph \( g(x)=\frac{1}{3}|x + 2|+6 \): 1. **Vertex**: Plot \((-2, 6)\) (from \( y = a|x - h|+k \), \( h=-2, k = 6 \)). 2. **Direction/Stretch**: Opens upward ( \( a=\frac{1}{3}…
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find an approximate solution to the equation. (0.87)^x = 5 select the c…
A. The solution is \(x\approx - 11.5452\)
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evaluate the following expression. $40 \\cdot 8 - 10^2 = \\square$ rela…
220
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noah has 9 grapes that he took from diego. noah then decides to give 4 …
$9 - 4$ ### Part B
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the following figure shows the entire graph of a relationship. does the…
B. No
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19. x^{100} \\qquad 20. (e^x + e^{-x})/2 \\qquad 0, 100 in exercises 21…
The function \( x^{3}+3 \) grows faster than \( x^{2} \) as \( x\to\infty \).
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use transformations of this graph to graph the given function. each fun…
To graph \( h(x)=(x - 6)^2 - 3 \), start with \( y = x^2 \), shift its vertex \((0,0)\) 6 units right to \((6,0)\), then 3 units down to \((6, - 3)\), and draw the upward - openin…
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{6}{5}\)
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subtract the mixed numbers. simplify your answer if needed. 1 ( 3\frac{…
s (for each problem): 1. \(1\frac{2}{3}\) 2. \(2\frac{1}{2}\) 3. \(3\frac{1}{2}\) 4. \(\frac{5}{7}\) 5. \(5\frac{7}{10}\) 6. \(1\frac{2}{3}\) 7. \(2\frac{1}{2}\) 8. \(3\frac{3}{4}…
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function 1 is defined by the equation $r = \\frac{5}{8}t - 9$. function…
C. The functions have the same r - intercept.
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7. what is the range of 4.5 x 8.3? * 1 point 4 x 8 and 5 x 9 40 4 x 5 a…
A. \(4\times8\) and \(5\times9\) ### Question 8
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week of october 27-31 bellwork/reflection questions bellwork/reflection…
1. In the early 1900s, the South had Jim Crow segregation, an agrarian - sharecropping - based economy, racial violence, and limited industrialization. 2. Reasons for moving: Econ…
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question solve for x to the nearest 10th. 4.9 = 1.115^(3x) - 3 answer x…
0.5
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question 23 the due process clause prevents: states from depriving peop…
A. States from depriving people of life, liberty, or property without fair process (assuming this is the first option; based on the text, the first option is "States from deprivin…
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a lap around a track is \\(\\frac{1}{4}\\) mile. how many miles are in …
$6\times\frac{1}{4}$
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gmas - grade 6 math > whole number exponents student name: jarrell robe…
D. \(13^3\)
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gmas - grade 6 math > whole number exponents > student name: jarrell ro…
D. \(3^4\)
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page 2 part 4 - find slope from two points (using graph) (-2, 3) and (4…
## Part 4: 1. \( \frac{1}{2} \) 2. \( -\frac{5}{6} \) 3. \( 0 \) 4. Undefined ## Part 5: 1. \( -\frac{4}{5} \) 2. \( 0 \) 3. Undefined 4. \( \frac{3}{5} \)
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gmas - grade 6 math > whole number exponents > student name: jarrell ro…
B. 125
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evaluate the expression. \\frac{4^{3}}{4^{5}} the value of the expressi…
\(\frac{1}{16}\)
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check your understanding which of the following functions is the invers…
\( \boldsymbol{f^{-1}(x) = x^{3}-2} \) (corresponding to the first option: \( f^{-1}(x)=x^{3}-2 \))
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1. (5 points) find vertical asymptotes of $h(x) = \\frac{x^2 - 2x - 3}{…
$x = -\frac{1}{2}$
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the judiciary act of 1789 did not: - establish supreme court structure …
B. Grant unlimited judicial review ### Second Question (Best example of selective incorporation):
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constitutionalism is best defined as: ○ government following the will o…
B. Government acting under a higher law, the Constitution ### Question 2 (Bill of Rights' original intent)
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3. \\(2\\enclose{longdiv}{419}\\) 4. \\(9\\enclose{longdiv}{217}\\) 7. …
For problem 3 (\(419\div2\)): \(209\) remainder \(1\) or \(209.5\) For problem 7 (\(6334\div3\)): \(2111\) remainder \(1\) or \(2111.\overline{3}\) (And so on for other problems f…
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to which city was european trade with china limited? a. canton b. beiji…
A. Canton