微積分
極限、導関数、最適化、関数挙動。
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use implicit differentiation to find $\frac{dy}{dx}$. $2ysin(\frac{1}{y…
$\frac{-9y}{2\sin(\frac{1}{y})-\frac{2}{y}\cos(\frac{1}{y})+9x}$
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level 4: open ended questions 4. sketch the graph of a single function …
Sketch a smooth curve for $y=-x^{3}+x$ passing through $(-1,0),(0,0),(1,0)$, concave up on $(-\infty,0)$ and concave down on $(0,\infty)$ with end - behavior $x\to-\infty,y\to\inf…
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ii). $y = e^{-4x}$ iii). $f(x)=ln(7x)$ c. use product rule to different…
- For $y = e^{-4x}$, $\frac{dy}{dx}=-4e^{-4x}$ - For $f(x)=\ln(7x)$, $\frac{df}{dx}=\frac{1}{x}$ - For $f(x)=x^{2}e^{x^{2}}$, $f^\prime(x)=2xe^{x^{2}}(1 + x^{2})$ - For $g(x)=\fra…
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review the water quality report and then answer the question. springtow…
# Explicaciones Breves: Los residentes de Springtown probablemente no son expertos en calidad del agua. Definir el término 'ppm' y informarles que el agua es segura les brinda inf…
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read the water quality report and then answer the question. springtowns…
# Breve explicación: El informe se centra en el agua potable de Springtown, que es de interés directo para los residentes de Springtown. Los restaurantes pueden estar interesados,…
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which three tips are suggested for dealing with negative customer feedb…
B. Address the customer by name, C. Empathize with the customer, E. Apologize to the customer
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max: min: increasing: decreasing: constant:
Max: 5 Min: 0 Increasing: \(3\lt x\lt5\) Decreasing: \(5\lt x\lt8\) Constant: \(0\lt x\lt3\)
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read the sentence from passage 3, paragraph 2. passage 3: \the actress\…
A. loud and energetic
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question 3 of 5 which statement most likely matches ray krocs business …
B. A businessman must cooperate with others to become successful.
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max: min: increasing: decreasing:
Max: None Min: - 3 Increasing: (-∞, - 2), (1, 3) Decreasing: (- 2, 1), (3, ∞)
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o). express $\frac{7x}{x^{2}-7x + 10}$ as a sum of its partial fraction…
- $\frac{7x}{x^{2}-7x + 10}=\frac{35/3}{x - 5}-\frac{14/3}{x - 2}$ - $z_1 = 2\mathrm{cis}\frac{\pi}{3}$, $z_2 = 2\mathrm{cis}\pi$, $z_3 = 2\mathrm{cis}\frac{5\pi}{3}$ - $\frac{dy}…
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find the limit as x approaches 1 for the following rational function (y…
Left: \(-\infty\) Right: \(-\infty\)
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find the limit as x approaches 1 for the following function (y value) 1…
Left: 2 Right: 2
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graph of $k(x)$ 13. $lim_{x ightarrow5^{-}}k(x)=$ 14. $lim_{x ightarrow…
13. \(-\infty\) 14. \(-\infty\) 15. \(0\) 16. \(0\)
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8. the input values increase without bound graph of g(x) 8. limit state…
1
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which of the following is the best title for the diagram? limited check…
B. System of Checks and Balances
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an idea from the english bill of rights that influenced the declaration…
the power of kings and queens is limited
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if a group of friends decides to share a limited number of concert tick…
The tickets may be unfairly distributed, leading to dissatisfaction.
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how could implementing a quota system help prevent the tragedy of the c…
by limiting the number of cattle each rancher can graze
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lesson quiz answer the following questions to identify important concep…
A. People feared and did not understand foreign cultures and religions.
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answer the following questions to identify important concepts related t…
C. Quota System
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put the latin root and its meaning for each derivative on the line at t…
1. J. smooth and polished in manner 2. H. seeming to be present everywhere 3. D. not moving; fixed, at rest 4. S. one who watches an event 5. E. showing signs of old age 6. F. to …
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read the excerpt from the storyteller. she did all that she was told, s…
It indicates that the aunt's portrayal of right and wrong is inauthentic and unconvincing.
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read the excerpt from the storyteller. \she did all that she was told, …
It indicates that the aunt's portrayal of right and wrong is inauthentic and unconvincing.
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week 6 group project 1. use the chain rule to find the derivative of ea…
1a. $\frac{dy}{dx}=15x^{2}(x^{3}+1)^{4}$ 1b. $\frac{dy}{dx}=\frac{9x^{2}}{2\sqrt{3x^{3}-4}}$ 1c. $\frac{dy}{dx}=4x^{3}\cos(x^{4})$ 1d. $\frac{dy}{dx}=2x(2x^{5}+9)^{3}(22x^{5}+60x^…
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the volume of a cube decreases at a rate of 0.4 ft³/min. what is the ra…
$-\frac{1}{480}\text{ ft/min}$
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a 25 - foot ladder is leaning against a vertical wall (see figure) when…
$-0.20$ ft/s
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a 10 - foot ladder is leaning against a vertical wall (see figure) when…
$-0.23$ ft/s
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sand falls from an overhead bin and accumulates in a conical pile with …
$900\pi$
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a hot - air balloon is 180 ft above the ground when a motorcycle (trave…
$87.14$
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2. sketch a single graph with the characteristics described below: ● co…
A hand - sketched graph following the above - described behaviors on the given intervals. (It's not possible to actually draw the graph in this text - based format, but you can fo…
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objective: why did japan industrialize during the meiji period? how did…
1. The Tokugawa Shogunate was suspicious of and wanted to limit contact with people outside of Japan. 2. The laws were issued to maintain political and social stability by reducin…
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topic 5 lesson 2: practice level 2: fill in the blanks/answer the quest…
In mathematics, end - behavior describes how the graph of a function behaves as \(x\) approaches positive or negative infinity. For polynomial functions, it is determined by the d…
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level 4: open ended questions 2. sketch the graph of a single function …
Sketch a curve on the given grid that passes through the point $(2,5)$, is decreasing and concave up for $x<2$ and also decreasing and concave up for $x > 2$.
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level 4: open ended questions 2. sketch the graph of a single function …
A hand - sketched curve on the provided grid that meets the described criteria: a cubic function with an inflection point at $(2,5)$, decreasing and concave up on $(-\infty,2)$ an…
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topic 5 lesson 1: practice level 2: fill in the blanks/answer the quest…
An inflection point is a point on a curve where the concavity changes. For the function $y = x^{3}$, the point $(0,0)$ is an inflection point.
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7) choose the best answer. vice president ____ became the 17th presiden…
7. A. Andrew Johnson 8. C. excluded Black representation
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instructions: complete this quiz after engaging with the pre - class ma…
False
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7) choose the best answer. what was the benefit of black - owned banks …
7) The ability to service loans and encourage real estate ownership created a new economy for Blacks. 8) It showed how Blacks were productive members of society in spite of limita…
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when planning a career, which of the following is important to identify…
the skills that one already has
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evaluate the following integral by interpreting it in terms of areas fr…
8
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find the derivative of $x^{\frac{1}{2}} - x^{-\frac{1}{2}}$
$\frac{1}{2}x^{-\frac{1}{2}}+\frac{1}{2}x^{-\frac{3}{2}}$
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let $int_{1.5}^{6.5}f(x)dx = 1$, $int_{1.5}^{4}f(x)dx=5$, $int_{4}^{6.5…
\(-17.5\)
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find the derivative of $x^{2}(x - 1)^{5}$
$x(x - 1)^{4}(7x - 2)$
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the graph of a companys profit p(t) in dollars, at month t is shown. co…
24
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the graph of a companys profit p(t) in dollars, at month t is shown. co…
(Please provide the actual graph for a numerical answer. Without seeing the specific graph, we can't give a whole - number value for $t$. The general process is to find the $t$ - …
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find the derivative of $\frac{1}{2}csc 2x$
$-\csc(2x)\cot(2x)$
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lesson 4 evaluation evaluate directions: answer the following questions…
1. The 10th Amendment reserves non - delegated powers to states or people, limiting federal power. 2. The 14th Amendment's Due - Process and Equal - Protection Clauses limit state…
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find the derivative of $sqrt{1 - x^{3}}$
$-\frac{3x^{2}}{2\sqrt{1 - x^{3}}}$
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find the derivative of $\frac{9}{3x^{2}-2x}$
$\frac{-54x + 18}{(3x^{2}-2x)^{2}}$
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evaluate the integral by interpreting it in terms of areas. in other wo…
$\frac{1865}{8}$
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find the derivative of $y = 3cos(3x + 1)$
$-9\sin(3x + 1)$
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3. what is typically considered a benefit of having a workable budget? …
It encourages smarter spending habits and helps establish a savings plan.
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which best describes how specialized producers decrease their opportuni…
by limiting the types of goods produced
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why is competition limited in an oligopoly? high entry costs prevent ne…
High entry costs prevent new producers from entering the market.
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find $\frac{dy}{dx}$ of $x^{2}+9y^{2}-4x + 3y=0$
$\frac{2(2 - x)}{3(6y + 1)}$
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4. find $int_{0}^{1}e^{3x + 1}dx$ 5. find $int_{0}^{1}\frac{x^{2}}{x^{3…
1. For $\int_{0}^{1}e^{3x + 1}dx$: $\frac{e^{4}-e}{3}$ 2. For $\int_{0}^{1}\frac{x^{2}}{x^{3}+1}dx$: $\frac{\ln(2)}{3}$
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evaluate the integral below by interpreting it in terms of areas. in ot…
$\frac{9\pi}{2}$
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hw. 6.4 integration by substitution 1. write the functions in the brack…
(A) $\frac{1}{2}x^{2}$ (B) $e^{x}$ (C) $\frac{1}{n + 1}x^{n+1}$ (D) $\frac{1}{k}e^{kx + b}$ (E) $\ln|x|$ (F) $\ln|x - k|$
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1. write the functions in the brackets (a) xdx = d( ) (c) n ≠ - 1, x^n …
A. $x dx = d(\frac{1}{2}x^{2}+C)$; C. $n eq - 1,x^{n}dx=d(\frac{1}{n + 1}x^{n+1}+C)$; E. $\frac{1}{x}dx=d(\ln|x|+C)$
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find the second derivative of 2x^{2}+sin 2x
$4 - 4\sin(2x)$
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find the derivative of -12
0
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what was one way the passage of the factory acts (1844 - 1847) affected…
Laborers' work hours were limited.
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find the derivative of (cos\theta-\frac{sin\theta}{4})
$-\sin\theta-\frac{1}{4}\cos\theta$
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find the derivative of (6sqrt{x}+3sqrt3{x})
$3x^{-\frac{1}{2}}+x^{-\frac{2}{3}}$
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passing along information is an important part of the news process. ear…
It demonstrates how social media has the capacity to spread information faster than traditional outlets.
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find the 2nd derivative of 2 sin x cos x
$-4\sin(2x)$
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find the 2nd derivative of $\frac{3}{x}$
$\frac{6}{x^{3}}$
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question 2 2 pts what might influence a teenagers perception of rationa…
Question 1: All of the above Question 2: Consumer goods
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63 - 74. derivatives of logarithmic functions calculate the derivative …
- For \(y = 4\log_3(x^2 - 1)\), \(y^\prime=\frac{8x}{(x^2 - 1)\ln 3}\) - For \(y=\log_{10}x\), \(y^\prime=\frac{1}{x\ln 10}\) - For \(y = (\cos x)\ln(\cos^2x)\), \(y^\prime=-2\sin…
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ptotic behavior of rational functions provide your answer below: as (x\…
As \(x\to-\infty\), \(f(x)\to2\); As \(x\to3^{+}\), \(f(x)\to+\infty\)
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use what you have learned about monopolies to complete the following se…
limit
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the radius of a circle is increasing at a steady rate of 6 cm/min. how …
$60\pi$
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determine the amplitude, period, any vertical translation, and any phas…
3
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f(x)=(x^7 - 7x^6)e^x. (a) f(x) is continuous on the interval: (b) f(x) …
(a) \((-\infty,\infty)\) (b) \((-\infty,\infty)\) (c) (i) \(f^\prime(c)=e^{c}(c^{7}-42c^{5})\) (ii) \(0\) (iii) \(c_1 = 0\), \(c_2=\sqrt{42}\)
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if $f(x)=\frac{3}{x^{2}}$, find $f(5)$.
$-\frac{6}{125}$
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(a) find the linearization $l(x)$ of the function $sqrt{1 - 4x}+1$ at $…
(a) $L(x)=2 - 2x$ (b) $2.1$
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17. credit cards that offer flashy rewards like airline miles often... …
17. Charge a high annual fee 18. A home 19. True 20. Charging high fees for loans and targeting desperate people
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(1 point) use the midpoint rule to approximate (int_{-2.5}^{5.5}x^{3}dx…
$216$
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hw 7.3 (e - book 3.6) solving quadratic equations. question 3 of 8 (1 p…
$y=\frac{-(-3)\pm\sqrt{(-3)^{2}-4(1)(-9)}}{2(1)}$
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is the act of limiting the types of goods and services produced. produc…
D. Specialization
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hw 7.3 (e - book 3.6) solving quadratic equations using the question 3 …
$a = 1$, $b=-3$, $c=-9$
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find the derivative of x^3 - 3x^2
$3x^2 - 6x$
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find the slope of the tangent line of the function defined implicitly b…
$-2.25$
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7) bill of rights (1791): what concerns led to the inclusion of the fir…
7) Concerns about individual liberties; Amendments protected through rights like freedom of speech and religion. 8) Stated Americas off - limits to European colonization; Showed U…
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find $f(x)$ given $f(x)=arcsin(3x)sqrt{1 - 9x^{2}}$. $f(x)=$ symbolic e…
$3-\frac{9x\arcsin(3x)}{\sqrt{1 - 9x^{2}}}$
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question consider the graph of the function $f(x)=\frac{x^{3}-12x^{2}+2…
C. $x = 0$, E. $x = 9$
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consider the integral (int_{1}^{4}(2x^{2}+4x + 1)dx). (a) find the riem…
$R_3 = 97$, $L_3=55$
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in problems 79 - 90, find the difference quotient of f; that is, find $…
4
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use a graph or a table to find the limit. lim_{x→4^{+}}\\frac{3}{x^{2}-…
\(+\infty\)
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use a graph or a table to find the limit. lim(x→∞) 3/x² lim(x→∞) 3/x² =…
0
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question 2 dok 2 5 points part a: what is the most accurate inference a…
They usually give their children the things the children want.
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find the difference quotient of f; that is, find $\frac{f(x + h)-f(x)}{…
$2x+h - 7$
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find the difference quotient of f; that is, find $\frac{f(x + h)-f(x)}{…
3
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fill in the blank. if $lim_{x ightarrow a}|f(x)|=infty$, then the line …
vertical asymptote
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10 what was the belief that the expansion of the u.s. throughout the no…
C. Manifest Destiny
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find an equation for the line tangent to the graph of f at (1,7), where…
$y=3x + 4$
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what is the main limit on our rights?
The rights and well - being of others, and the need to maintain public order and safety.
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3. in the context of this passage, what is fair? would you consider the…
In the context of ancient Egypt, fairness was limited as the social structure was highly hierarchical with vast differences in power and opportunity between classes. It was not ov…
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find the average rate of change of $f(x)=x^{3}+2x^{2}+3x - 1$ from - 1 …
$4$