微積分
極限、導數、最優化與函數性質。
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for START equation: \( x = 16\) If we continue solving equations along the path to the Christmas bells, we would solve each equation one by one. For example, the next equation in …
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the social security deduction is 6.2% of a person’s salary up to a limi…
$26.78
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what is the double time rate of $19.58? $37.19 $38.16 $26.16 $39.16
C. $39.16
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true or false: if you earn $998.30 twice a month, your annual net pay i…
False
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partie b exercice obligatoire (100 pts) | x | -5 | -2 | 0 | 3 | | f(x) …
L'ensemble du domaine de définition de \( f \) est \( \{-5, -2, 0, 3\} \) ### Question 2:
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the functions u and w are defined as follows. u(x) = -x + 1, w(x) = x² …
\( 8 \)
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look at the graphs and their equations below. then fill in the informat…
B ### Part (c)
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what are the equations of the horizontal and vertical asymptotes of $y …
horizontal asymptote: \( y = 3 \) vertical asymptote: \( x=-9 \)
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7 which of these is the best summary of paragraphs 15 through 17? a. so…
D. Social media time and overall online time both increased over decade for users. American adults spend over six hours daily media across phones, tablets, computers, and game con…
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lim_{x\\to 8} (x - \\ln x) solution: 8 - 8; lim_{x\\to 8} (\\frac{e^x}{…
\(\lim_{x\to\infty} (x - \ln x)=\infty\)
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1. simplify the following: a) $i^{47}$ $=i^{4×11 + 3}$ $=(i^4)^{11}×i^3…
\( -i \) #### Part b: Simplify \( i^{102} \)
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mc3u independent study unit – complex numbers assignment 1. simplify th…
\( -i \) ### Problem 1b: Simplify \( i^{102} \)
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mcr3u independent study unit – complex numbers assignment 1. simplify t…
\( -i \) ### Question 1b: Simplify \( i^{102} \)
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2. use the graph to find the indicated values. show all work. a. $(f \\…
### Parte a: $(f \circ g)(2)$ #### Explicación: Para encontrar $(f \circ g)(2)$, primero calculamos $g(2)$, luego evaluamos $f$ en ese resultado. ## Paso 1: Encontrar $g(2)$ De la…
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(2) if : $f(x) = \\sqrt3{x + 5}$, $g(x) = x^2$, then : $(f \\circ g)(2)…
b. 3
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1. 函数$y = xsin x$的部分图象是（） a. \\begin{tikzpicture} \\draw-> (-3,0) -- (3…
A. 函数\(y = x\sin x\)的图象
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both buying and leasing have their pros and cons. sort the descriptions…
- smaller monthly payment: Leasing (check the circle under Leasing) - unlimited mileage: Buying (check the circle under Buying) - ownership: Buying (check the circle under Buying)…
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traditional banks do not fit everyones needs when it comes to banking. …
A. They have membership requirements.
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money market accounts come with various features, but one stands out as…
B. higher interest rates paid compared to checking accounts
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certificate of deposit (cd) accounts offer a wide range of benefits, bu…
A. no access to your funds for a period of time
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you might need: financial calculators savings accounts have pros and co…
A. They make it easy to save money while earning some interest.
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checking/debit accounts are a convenient way to keep track of your dail…
D. They make it easy to get paid and pay bills.
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savings accounts come with various features, but one stands out as a ke…
B. It typically provides higher interest rates than checking accounts.
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interest groups and political action committees are both types of organ…
The option stating "are not part of the government, but can influence the government."
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which statement describes an example of a limit on the power of the hou…
The president can veto its bills. (Note: There is an error in the above analysis. The correct answer should be "The House can propose only revenue bills" is incorrect. The correct…
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question 4 - item 1 read the excerpt taken from the novel sense and sen…
The narrator’s tone toward Mr. Benners suggests that readers should interpret his behavior toward Mr. Collins as being motivated by a sense of duty rather than genuine concern.
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what is the value of $f(-1)$ for the function $f(x) = 4 \\cdot 2^x$? \\…
b. 2
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what is a valid first step when graphing an exponential function? a. fi…
c. Make a table of x - and y - values.
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which of the following best describes the role of the base ( b ) in the…
a. It determines whether the function is growing or decaying.
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which of the following describes exponential decay? a. the graph is sym…
b. The base of the exponent is between 0 and 1.
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which of the following is not a feature of the graph of $f(x) = 3 \\cdo…
c. It has a minimum point.
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which of the following is not a correct step for graphing an exponentia…
a. Plot two points and connect them with a curve without finding the y - intercept.
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2. which of the following is not a feature of the graph of $f(x) = 2 \\…
c. It has a minimum point.
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the process of identifying several key points on the graph of an expone…
point - plotting
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an exponential function with a base between 0 and 1 represents exponent…
decay
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an exponential function with a base greater than 1 represents exponenti…
growth
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in the function $f(x) = a cdot b^x$ , the exponent $x$ represents the _…
The exponent \( x \) represents the independent variable (often time, number of periods, or the input for the exponential growth/decay process, e.g., time in years for population …
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the horizontal line that an exponential graph approaches but never touc…
horizontal asymptote
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the value of the function when x = 0 is called the ______________.
y - intercept (or initial value)
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the part of an exponential function that determines whether the functio…
base
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emmet divided 1/2 of a liter of plant fertilizer evenly among some smal…
3
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which of the following is the graph of this absolute value function? $y…
The third graph (the one with the blue dot at \( (2, - 3) \) and opening downward with vertex at the origin)
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which of the following is the graph of this absolute value function? y …
The first graph (the left - most graph) is the graph of \(y = |x + 2|\)
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which of the following is the graph of this absolute value function? y …
The second graph (the one with vertex at (0, 2) and V - shape opening upwards)
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e 3 longdiv 7224 with some arrows and dashed lines (the image shows a l…
The quotient of \(7224 \div 3\) is \(2408\).
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determine whether the following graph represents a function. the graph …
The graph \(\boldsymbol{\text{does}}\) represent a function because \(\boldsymbol{\text{each } x\text{-value}}\) is mapped to \(\boldsymbol{\text{exactly one } y\text{-value}}\).
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y = 2x² + 20x + 48 (vertex point a) vertex of y = -x² + 8x + 3 (point b…
The equation of the perpendicular bisector of \( \overline{AB} \) is \( 3x + 7y + 29 = 0 \) (or \( y = -\frac{3}{7}x - \frac{29}{7} \))
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question 37 (1 point) which of the following is not a criticism of dive…
A. Resistance against housing first models
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years into the flint, michigan water crisis, state officials continued …
B. disputed
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at the u.s. court of appeals for the ninth circuit in san francisco, a …
D. precedent
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question 2 (1 point) which of the following is not a barrier to mental …
D. Time limitations
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evaluate the sum \\(\\sum_{i=4}^{9} i\\)
39
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what is the rise? \\(\\frac{\\text{rise}}{\\text{run}} = \\frac{?}{\\sq…
Rise is 8, Run is 2, Slope is 4. So, \( \frac{\text{rise}}{\text{run}} = \frac{8}{2} \), and slope = 4.
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what is the rise? rise = ? run = find the slope of the line. slope = (a…
rise = 4, run = 2, slope = 2
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what is the rise?\ \\(\\frac{\\text{rise}}{\\text{run}} = \\frac{?}{\\s…
rise = 8 slope = 2
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find the inverse of the function $f(x) = 2x - 4$. $g(x) = \\frac{1}{2}x…
\( g(x)=\frac{1}{2}x + 2 \) (the last option: \( g(x)=\frac{1}{2}x+2 \))
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a baseball is thrown into the air from a height of 5 feet. the ball rea…
\( h(t) = -16t^2 + 49.64t + 5 \) (the third option)
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find the product. 235 × 0.01 = ?
\(2.35\)
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find the product. 172 × 0.01 = ?
\(1.72\)
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which expression can be represented by the model? 81 × 0.01 81 × 0.1 81…
\boxed{81 \times 0.01}
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justin and elena each launched a toy rocket into the air. the height of…
\( h=-16t^2 + 120t + 2 \) (the last option: \( h=-16t^2 + 120t + 2 \))
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now, write the product as a decimal. 143 × 0.01 = 143 hundredths = \\bo…
$1.43$
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the quadratic equation $y = -6x^2 + 100x - 180$ models the stores daily…
The intersection points are approximately \((1.84, - 16.36)\) and \((8.16,236.44)\) (or \((5 - \sqrt{10},-4(5 - \sqrt{10})^{2}+80(5 - \sqrt{10})-150)\) and \((5+\sqrt{10},-4(5 + \…
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soccer ball profit $y = -6x^2 + 100x - 180$ suppose the store wants to …
The store can charge approximately \(\$4.53\) or \(\$12.13\) for each soccer ball to earn a daily profit of \(\$150\). (If we want to present the exact form, the solutions are \( …
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differentiate the following functions. (a) 4pts. $f(x) = \\frac{x^2\\si…
### Part (a) # Explanation: We use the quotient rule for differentiation, which states that if \( f(x)=\frac{u(x)}{v(x)} \), then \( f'(x)=\frac{u'(x)v(x)-u(x)v'(x)}{v(x)^2} \). H…
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additional practice 1. what is the angular displacement of each of the …
s: #### Question 1: a. Second hand: $\boldsymbol{- 377}$ rad (or $\boldsymbol{3.77\times 10^{2}}$ rad with three significant digits, considering direction) b. Minute hand: $\bolds…
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describe a time you overcame a setback or failure.
In high school, I failed my first calculus exam. I was devastated but analyzed my mistakes, sought help from the teacher, created a study schedule, and practiced daily. For the ne…
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5. the table shows the number of m&m’s, m, and the number of gingerbrea…
60 ### Problem 6
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what is one achievement of the ming dynasty? the ming dynasty was the l…
The Ming Dynasty produced Zheng He, a skilled navigator whose voyages predated famous Europeans.
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what is the slope of the line that passes through points (-1,-5) and (1…
4
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q. write the equation of the line in slope - intercept form.
\(y = 2x-4\)
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how does diction relate to the way a speech is constructed? speakers mu…
A. Speakers must choose the most appropriate wording to achieve their purpose in a set time frame.
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why does peltier use the problem - and - solution text structure within…
A. to convince her audience that action needs to be taken to improve the access that certain communities have to suitable water supplies
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use the interactive graph below to sketch a graph of $y = 4\\log_{2}(x …
Asíntota vertical: \( x = -6 \) Puntos: \( (-5, -8) \) y \( (-4, -4) \) (o otros puntos válidos calculados)
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santa needs a break. press play so he can watch tv and you can answer t…
20
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_______ are examples of limits set by the government to protect society…
C. Laws ### Second Question:
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2(7+2×3)+4 divided by 1/6
180
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which of the following correctly explains the difference between the de…
B. DTI measures the percentage of your income used to pay debts, while credit utilization measures the percentage of your credit limit currently being used.
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graph $y = \\frac{4}{5}x - 7$.
To graph \( y=\frac{4}{5}x - 7 \), plot the y - intercept \( (0,-7) \) and the point \( (5,-3) \) (found using slope \( \frac{4}{5} \)) and draw a line through them. The given gra…
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(\frac{x^2 + 4x + 3}{2x + 1} < 0)
The solution to the inequality \(\frac{x^{2}+4x + 3}{2x + 1}<0\) is \(x\in(-\infty,-3)\cup(-1,-\frac{1}{2})\)
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question 1 of 46 which of the following best describes the graph of the…
C. Decreasing
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question 38 of 41 which of the following is equivalent to a real number…
A. \((-4099)^{1/5}\)
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question 34 of 41 which of the following is equivalent to the quotient …
D. $2\sqrt{3}$
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lim (x→-3⁻) -2/(x+3)
$\boldsymbol{+\infty}$
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8 which point lies on the graph of $y = 3x^2 - \\frac{1}{4}x + 3$? (1) …
(1) \((-2, 15.5)\)
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evaluate each limit 1) \\( \\lim_{x \\to -3^+} \\frac{x + 2}{x^2 + 5x +…
1. $+\infty$ 2. $-\infty$ 3. Does not exist 4. $+\infty$ 5. $-\infty$ 6. $-\infty$ 7. $-\infty$ 8. $-\frac{1}{3}$ 9. $-\infty$ 10. $+\infty$ 11. $+\infty$
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skill #3: evaluating functions substitute the value of x into the funct…
\(\boldsymbol{-2}\) (which corresponds to option (2))
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question 8 of 10 the articles of confederation gives some powers to the…
B. The value of limited government
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2.1.2 quiz: arguments and compromises speaker 2: the most important con…
A. Speaker 3
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question 13 of 20 why did the authors of the articles of confederation …
A. To protect against tyranny
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question 9 of 20 read this passage from the u.s. constitution: we the p…
A. Governments get their power from the people.
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question 4 of 20 read this list about the characteristics of democracy:…
B. Accepting majority rule while insisting on minority rights
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question 2 of 20 which statement describes a difference between authori…
B. In an authoritarian government, the leaders of the government have absolute power.
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5. express the following sets in braces. ( ) a) the set of natural numb…
Let's solve these problems one by one. We'll start with problem 8 (Express each of the following in Standard Notation) and problem 9 (Express each of the following values in scien…
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a site specific sculpture is __________ a. a sculpture that has an inte…
A. a sculpture that has an integral relationship with the particular site where it exists.
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what is an environment sculpture? a. a group of interrelated objects th…
D. A form of site specific sculpture, which is designed to affect the way the space is experienced.
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stefanie is painting her bedroom. she can paint $12\\frac{1}{3}$ square…
D. $15\frac{5}{12}$
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18. evaluate: $90 - 6(9) + 27 div 3^2$
$39$
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14. multiply: (+2.1) × (+0.012)
$0.0252$
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3. find the c.o.p. of y = 3x + 1.
$3$