微積分
極限、導関数、最適化、関数挙動。
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7. the height off the ground, in feet, of a squirrel leaping from a tre…
C. 0.75 s
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directions: state the maximum number of turns the graph of each functio…
The maximum number of turns for \( f(x)=x^{3}-2x^{2}+4 \) is \( 2 \). ### Problem 3:
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which strategy can a person use to cope with suicidal thoughts on his o…
A. developing a safety plan
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2. f(x) = x³ - 2x² + 4
The maximum number of turning points of the graph of \( f(x)=x^{3}-2x^{2}+4 \) is \( 2 \).
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directions: state the maximum number of turns the grap 2. f(x) = x³ - 2…
2
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directions: state the maximum number of turns the graph of each functio…
2 ### Problem 3:
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which is an appropriate element of a stress-management plan? ○ limiting…
C. identifying coping strategies
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utiliza una razón trigonométrica para resolver x. redondea a dos decima…
\( x \approx 21.61 \)
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5. the graph of f(x) = 2x² + x - 15 passes through the points (0, -15) …
-15 ### Question 6
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response to erik of sweden’s proposal, 1560 many men wanted to marry qu…
The second sentence (the one in the middle box): "And that indeed does not happen because we doubt in any way of your love and honour, but, as often we have testified both in word…
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response to erik of swedens proposal, 1560 many men wanted to marry que…
using textual evidence to support her inference.
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give the equation of the function g whose graph is described. 29) the g…
\( g(x)=-4.7\sqrt[3]{x + 7.6} \)
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what is the quotient of: 1,824 ÷12 = ?
152
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3. write an expression for \\(\\sqrt{175}\\) without a perfect square f…
\(5\sqrt{7}\) ### Question 4
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question 4 find the sum of: 0.453 + 18.5 + 1.6
20.553
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x + 15 < 0. itical points for the inequality shown. select the interval…
\(x < 3\), \(3 < x < 5\), \(x > 5\) (corresponding checkboxes: \(x < 3\), \(3 < x < 5\), \(x > 5\))
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1. the graph shows the functions $f(x) = x^4 + 2x^3 - 13x^2 - 14x + 24$…
s: a. \(\boldsymbol{5}\) b. \(\boldsymbol{1}\) c. 3 turning points, approximately \((-3, - 20)\), \((0,30)\), \((2, - 20)\) d. \((-3, - 20)\) and \((2, - 20)\) (approx) e. \((0, 3…
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practice: choose the 2 correct statements □ the zero is (2,0) □ the zer…
B. the zero is \((-1,0)\) C. the y - intercept is \((0,2)\) (o también D. The y - intercept is \((0,2)\), ya que C y D son la misma afirmación escrita de manera ligeramente difere…
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final exam review unit timeline practice fill in the blank with 1898 19…
1. 1944 2. 1898 3. 1945 4. 1917 5. 1929 6. 1939 7. 1941 8. 1914 9. 1919
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select the correct answer. consider this function. $f(x) = 6\\log_{2} x…
B. \( [\frac{1}{8},\frac{1}{2}] \)
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4 select the correct answer. consider functions p and q. p(x) = \\log_2…
D. The x-intercept of function \( p \) is greater than the x-intercept of function \( q \).
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3 select the correct answer. the table represents function f. | x | 3 |…
A. The average rate of change of \( f \) is the same as the average rate of change of \( g \).
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simplify your answer and write it as a proper fraction, improper fracti…
\(\frac{4}{3}\)
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7. higher order thinking a flag pole is 30 feet tall. a bug crawls 14 f…
12
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given the function $f(x) = -5x - 2$, calculate the average rate of chan…
C. -5
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use the order of operations to simplify. -2 + 3 \\cdot (-17 - 2) - 29 =
\(-88\)
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62 write an equation that represents the transformation described. the …
\( y = -\sqrt[3]{x - 8}+6 \)
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d -45/60 (12 15/24
\(-9\frac{15}{32}\) (or \(\frac{-303}{32}\))
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60 solve the radical equation. check for extraneous solutions. \\(sqrt3…
\(x = 36\)
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which idea in the u.s. constitution is reflected in the idea that the u…
C. federalism
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simplify the expression $4sqrt3{-9} cdot 7sqrt3{48}$
\(-168\sqrt[3]{2}\)
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comparing the linear and exponential functions, which has the greatest …
B. The exponential function has the greatest rate of change
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how can i add \\(\\frac{1}{3}\\) and \\(\\frac{1}{2}\\)? think about th…
6
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$\\frac{5}{2^3 + 1} + 4 - 2^2$
\(\frac{5}{9}\)
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b. \\(\\frac{5}{2^3 + 1} + 4 - 2^2\\)
\(\frac{5}{9}\)
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how do patents contribute to the stimulation of competition among busin…
B. by enabling inventors to gain a temporary advantage, encouraging further research and development
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55 the graph below shows $f(x) = 2^x$. if the graph is shifted up one, …
C. \((0,2)\)
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what role does a written constitution play in safeguarding individual r…
B. It provides a legal basis for protecting and guaranteeing fundamental rights to citizens.
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52 for the function $g(x) = 2(6)^x + 4$, as $x \\to \\infty$, what is y…
B. y is approaching \( \infty \)
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51 what is the domain and range of $f(x) = -3^x - 7$? a domain $(-infty…
D. Domain \((-\infty, \infty)\), Range \((-\infty, -7)\)
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which of the following is an example of an exponential function? a. $y …
C. \( y = 2(3)^x \)
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50 simplify \\(sqrt3{-54}\\)
\(-3\sqrt[3]{2}\)
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simplify $1,296^{-\frac{1}{4}}$. write your answer in simplest radical …
\(\frac{1}{6}\)
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what is 12 × (5/12)?
The whole number 5.
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what is $9 \\times \\frac{3}{8}$?
\( 3\frac{3}{8} \) (So the mixed number is \( 3\frac{3}{8} \), filling in the boxes as \( 3 \), \( 3 \), \( 8 \) for the mixed number form \( 3\frac{3}{8} \))
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what is $10 \\times \\frac{11}{12}$? mixed number fraction whole number…
The mixed number is \( 9\frac{1}{6} \), so the whole number part is 9, numerator is 1, denominator is 6. (Assuming the 1 in the first box is a typo and should be 9)
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which expression results when the change of base formula is applied to …
$\frac{\log(x + 2)}{\log 4}$ (the first option among the given choices)
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what is $8 \\times \\frac{2}{5}$? (mixed number, fraction, whole number…
\(3\frac{1}{5}\) (where the whole number part is 3, the numerator of the fraction part is 1, and the denominator is 5)
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which system of equations could be graphed to solve the equation?\\(\\l…
\( y_1=\log(2x + 1),y_2 = 3x - 2 \) (the third option)
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if $f(x) = 11 - 6(x - 8)$, what is $f(-3)$? a. -55 b. -19 c. 41 d. 77
D. 77
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question 4 of 15 what role does marketing play in a private enterprise …
C. It connects customers with businesses that can meet their wants and needs.
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chip is a robot that follows commands to move on a number line. for eac…
24
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which scenario best exemplifies the protection of first amendment right…
D. Individuals peacefully assemble to protest U.S. involvement in a foreign military conflict but are heavily criticized on social media.
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how did english common law significantly influence the concept of const…
C. by emphasizing the belief in the rule of law and limitations on government power through the protection of rights
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what is 4 × 7/10? mixed number fraction whole number submit
Mixed number: 1 \(\frac{2}{5}\) (so top box: 2, bottom box: 5), Fraction: \(\frac{7}{5}\), Whole number: None (but if forced, maybe leave blank). But based on the calculation with…
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what is the inverse of the function? $f(x) = 3^x - 1$ $\\circ$ $f^{-1}(…
\( f^{-1}(x)=\log_{3}(x + 1) \) (the third option: \( f^{-1}(x)=\log_{3}(x + 1) \))
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write the range of the function in interval notation. f(x)=3 - x a. (-∞…
A. \((-\infty, \infty)\)
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use the dropdown menus to analyze the zeros in the denominator and dete…
- At \( x = 8 \): hole - At \( x = -2 \): vertical asymptote
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write the domain of the function in interval notation. f(x) = x - 8 a. …
C. \((-\infty, \infty)\)
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at x = 8, f has a zero in the denominator and also in the numerator. th…
At \( x = 8 \): "and also" (in the numerator) At \( x = -2 \): "but not" (in the numerator)
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what is $3 \\times \\frac{2}{5}$? mixed number, fraction, whole number …
The mixed number is \(1\frac{1}{5}\), so the boxes should be filled as \(1\), \(1\), \(5\) (from top to bottom and left to right for the mixed number format: whole part \(1\), num…
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use the dropdown menus to analyze the zeros in the denominator and dete…
First blank: a zero; Second blank: equal to (for the hole condition at \( x = 8 \)). (Note: The image’s dropdowns: first dropdown for "also in the numerator" should be "a zero", s…
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what is $2\\log x - \\log y - 2\\log z$ written as a single logarithm?\…
A. \( \log \frac{x^2}{yz^2} \)
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what is $7 \\times \\frac{2}{5}$?
The mixed number is \( 2\frac{4}{5} \), so the whole number part is \( 2 \), the numerator of the fraction part is \( 4 \), and the denominator is \( 5 \). Filling in the boxes: t…
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which push factor caused many people to migrate from rural areas to cit…
C. Limited economic opportunities in rural areas
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39 which proposal does a local level of government have the authority t…
a. a proposal to expand recreation staffing to provide afterschool programs for the community
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what is $12 \\times \\frac{5}{6}$? mixed number fraction whole number s…
Whole number: \( 10 \)
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what is $7 \\times \\frac{1}{4}$? mixed number fraction whole number su…
The mixed number is \( 1\frac{3}{4} \), so the first box (whole number part of mixed number) is \( 1 \), the second box (numerator of the fractional part) is \( 3 \), and the thir…
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the excerpts below are from article 1, section 9, of the u.s. constitut…
ⓑ limited government
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évaluations d’évaluation de fin de chapitre 2e tâche avant prise connai…
1. Coût de Télé-Action: \( 684\,\text{\$} \) 2. Coût de Direct-Télé: \( 918\,\text{\$} \) 3. Coût de Télé Express: \( 864\,\text{\$} \) Service le plus économique: Télé-Action
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which two factors best explain western europe’s high population density…
A. Abundant fertile soil and navigable rivers, C. Highly developed economies
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35 what is the main goal of political parties in the united states? sha…
A. shaping government policy
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multiple choice 2.5 points select the graph that represents the functio…
Since the given graph in the image opens downwards (incorrect for \( y = x^2+6x - 27 \) as it should open upwards), the correct graph (not shown here) should be a parabola opening…
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if needed: click additional resources for more instructional videos on …
Let's solve these quadratic equations one by one using the quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) for a quadratic equation \( ax^2 + bx + c = 0 \). ### Pro…
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determine the end behavior for the following graph. a. as $x\\to\\infty…
D. as \( x\to\infty,y\to\infty \) and as \( x\to -\infty,y\to -\infty \)
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determine the end behavior for the following graph. a. as $x\\to\\infty…
A. as \( x \to \infty, y \to -\infty \) and as \( x \to -\infty, y \to \infty \)
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4. \\(\\frac{3}{4}(6 - 5)^2\\)
\(\frac{3}{4}\)
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use the graph to determine the domain and range of the piecewise define…
\(-6\leq x\leq0\) or \(0\leq x\leq2\) (the second option, so the answer is the option with \(-6\leq x\leq0\) or \(0\leq x\leq2\))
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determine the end behavior for the following graph. a. as $x\\to\\infty…
D. as \( x\to\infty,y\to\infty \) and as \( x\to -\infty,y\to -\infty \)
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what is the axis of symmetry for this quadratic function? chart of a qu…
The axis of symmetry is \( x = 2 \)
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what is the axis of symmetry for this quadratic function?
The axis of symmetry for the given quadratic function is the line \(x = 0\) (the y - axis).
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given a rational function f. the polynomial in the denominator has zero…
For \( x = 8 \): hole; For \( x=-2 \): If multiplicity in denominator is greater than numerator, vertical asymptote; if same, hole. But based on the problem's wording (multiplicit…
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divide. \\frac{6 - 5i}{-5 - 3i} write your answer as a complex number i…
\(-\frac{15}{34}+\frac{43}{34}i\)
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given a rational function f. the polynomial in the denominator has zero…
For \( x = 8 \): and also (Assuming the dropdown for \( x = 8 \) is to choose between "but not" and "and also" in the numerator. Since multiplicity is same, numerator has the zero…
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carlos buys cheese from the local farmer’s market. the graph below show…
(a) 18 cents (b) 18
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given a rational function f. the polynomial in the denominator has zero…
For \( x = 8 \): in the numerator For \( x = -2 \): in the numerator
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3. \\(\frac{1}{2} \\cdot 12 \\cdot 2 - 25 \\div 5^2\\)
\(5\)
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find the slope of the line that passes through (100, 100) and (22, 6). …
\(\frac{47}{39}\)
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given a rational function f. the polynomial in the denominator has zero…
For \( x = 1 \): - First blank: \(\boldsymbol{\text{a zero}}\) - Second blank: \(\boldsymbol{\text{vertical asymptote}}\) - Third blank: \(\boldsymbol{\text{less than}}\) For \( x…
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0.65 × 10 = 6.5 0.65 × 10² = 65 0.65 × 10³ = 650 if this pattern contin…
D. 65,000
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given a rational function f. the polynomial in the denominator has zero…
For \( x = 1 \): and also For \( x = 2 \): but not (Assuming the dropdowns are for \( x = 1 \) and \( x = 2 \) respectively. If the first dropdown is for \( x = 1 \), the answer i…
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cd: multiplying radical expressions possible points: 6 match √45 × √32 …
\(\sqrt{45} \times \sqrt{32}\) matches \(12\sqrt{10}\) \(\sqrt{x} \times \sqrt{8x^4}\) matches \(2x^2\sqrt{2x}\) \(\sqrt{10x}(3 + \sqrt{4x^3})\) matches \(3\sqrt{10x}+2x^2\sqrt{10…
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2. $3cdot4^2 - \frac{40}{5}$
\(40\)
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0.2 × 100 = a 0.2 b 2 c 20 d 200
C. 20
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find the slope of the line passing through the points (-6, -5) and (4, …
\(\frac{9}{10}\)
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find the slope of the line passing through the points (9, -6) and (2, -…
\(\frac{2}{7}\)
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find the slope of the line passing through the points (3, 4) and (8, -3…
\(-\frac{7}{5}\)
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base your answer to this question on the documents below and on your kn…
a. Women
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which function is represented by the graph below? options: y = -4x + \\…
\( y = 2x-4 \)
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amount a and the rate of growth r (as a percent) of the exponential fun…
Initial amount \( a = 10 \), growth rate \( r = 40.0\% \) ### Problem 4: \( y = 12(1.05)^t \)