微积分
极限、导数、最优化与函数性质。
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the function f(x) is graphed below. how many points on the graph repres…
2
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consider the function below. $f(x)=5x^{3}+6x$ find the difference quoti…
\(15x^{2}+15xh + 5h^{2}+6\)
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in 1984, gregory lee johnson burned an american flag in front of the da…
A. Because his actions did not threaten public safety or peace.
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question 4 of 10 which example is the weakest research question? a. whi…
A. Which movie series is better: Star Wars or The Lord of the Rings?
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according to the us constitution, which statement best explains the lim…
The federal government has enumerated and implied powers.
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multiple choice question what did the treaty of versailles require germ…
B. Limit it's military and pay war reparations to the British and French
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based on the u.s. constitution, which action is the responsibility of t…
Regulating the trade that occurs across state lines
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9. which of the following are not characteristics of a united states ci…
B. limits on family size C. mandatory military service D. guaranteed lifetime income
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for palm oil production to be certified sustainable by the nonprofit gr…
Controlling erosion and limiting water pollution are priorities. Growers cannot clear old growth forests. Local communities are involved in land - use planning. The guidelines pro…
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which statement describes an important advantage of the government syst…
Power is limited in both governments to protect individual rights.
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use the excerpt below to answer the question. we hold these truths to b…
Rights existed before governments were created.
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why couldnt congress help the economic crisis in 1784?
Under the Articles of Confederation, Congress had limited powers such as lack of power to levy taxes directly and regulate commerce effectively, so it couldn't help the economic c…
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3. 3rd person - the narrator is outside of the story. uses pronouns suc…
C. 2nd person
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which laws regulate car driver behavior? a. speed limits b. helmet rule…
A. Speed limits
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during the gilded age, working women had limited work opportunities and…
many work opportunities but were paid less than men.
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for many decades, us movie studios produced a slow trickle of franchise…
B. Filmmakers have fewer chances to present inventive movies.
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find the average rate of change for the given interval. 1 ≤ x ≤ 6 the a…
40
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find the average rate of change for the given interval. 1 ≤ x ≤ 6
$30$
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in the 1970s, civil rights activists worked with the branches of govern…
Supreme Court: limited state laws restricting privacy, declared constitutional right to abortion services Congress: provided Indian tribes with self - determination, provided assi…
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what was hillary clintons health care proposal? a. to provide a \medica…
D. to set laws governing patient's access to affordable health insurance regardless of pre - existing conditions
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reading check 9. why were some colonists angered by the proclamation of…
9. The Proclamation of 1763 angered some colonists because it limited their west - ward movement. It prohibited colonists from settling west of the Appalachian Mountains, restrict…
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drag each tile to the correct box. match the supreme court cases to the…
concerned the limits of executive privilege → United States v. Nixon concerned the First Amendment rights of students → Tinker v. Des Moines
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the paris climate accord was signed by nearly 200 countries in 2016. it…
greenhouse - gas emissions
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complete the paragraph about the paris climate accord. the paris climat…
The United States
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this graph could help the us government allocate natural resources. lim…
make an economic prediction.
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this graph could help the us government allocate natural resources. lim…
The graph shows the unemployment rate over time. Analyzing such data can help in making an economic prediction as changes in unemployment rates are key economic indicators. So the…
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select the correct answer. what was one way that president clintons dom…
D. They both addressed welfare reform and limiting social programs
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1. in classical french cuisine, a velouté sauce with fish stock is the …
1. A. Sauce Normande 2. C. Egg white 3. C. To develop flavor without browning 4. C. To enhance flavor through the Maillard reaction
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multiple - choice question what three concentrations does hank list to …
B. global leadership, human resources, tourism
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the height, h (in feet) of a model rocket launched from the roof of a b…
$-128$
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the height, h (in feet) of a model rocket launched from the roof of a b…
$s^\prime(t)=-32t + 64$
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find any relative extrema of the function. list each extremum along wit…
The relative minimum point(s) is/are none and the relative maximum point(s) is/are none. The function $F(x)$ is increasing over the interval $(-\infty,\infty)$ and is not decreasi…
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identifying persuasive techniques. analyzing rhetorical strategies in p…
ad hominem: attacks person rather than argument false dilemma: offers a limited number of options hasty generalization: uses insufficient evidence
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chief justice earl warren stated, separate educational facilities are i…
By its very definition, it cannot be equal.
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11 and if they had a job, graduates who performed well on the cla were …
It explains that the limited development of general collegiate skills like critical thinking may be due to students investing little time in academic pursuits, thus supporting the…
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find any relative extrema of the function. list each extremum along wit…
The relative maximum point is $(3,-4)$ A. The function $g(x)$ is increasing over the interval $(-\infty,3)$ and decreasing over the interval $(3,\infty)$
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find any relative extrema of the function. list each extremum along wit…
The relative maximum point is $(3,-4)$. A. The function $g(x)$ is increasing over the interval $(-\infty,3)$ and decreasing over the interval $(3,\infty)$.
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evidence #3: mural from lubbock lake, secondary source the image above …
1. Information about daily - life activities, social interactions, shelter, and possible tool - use and hunting practices of Paleolithic humans in Texas. 2. Reliable: Can provide …
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find any relative extrema of the function. list each extremum along wit…
B. The relative maximum point(s) is (3,40) and there are no relative minimum points.
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evidence # 2: paleolithic cave paintings a paleolithic cave painting in…
1. Historians can learn about the animals present in the area, hunting practices, artistic capabilities, and possible social or religious beliefs of Paleolithic people. 2. Reliabl…
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find any relative extrema of the function. list each extremum along wit…
B. The relative minimum point(s) is $(\frac{3}{2},-\frac{5}{4})$ and there are no relative maximum point(s).
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find the intervals on which (f(x)) is increasing, the intervals on whic…
The function \(f(x)\) is increasing on \((-\infty,\infty)\). The function \(f(x)\) is never decreasing. There are no local extrema.
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find the intervals on which ( f(x) ) is increasing, the intervals on wh…
$3x^{2}+7$
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computer video games can be delivered in one of two formats: digital (d…
a. B. negative b. A. The absolute value of $f'(2013)$ is less than the absolute value of $f'(2008)$
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which of the following graphs has the largest average rate of change fr…
The second graph has the largest average rate of change from - 1 to 2.
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computer video games can be delivered in one of two formats: digital (d…
a. B. negative b. decreasing
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what is the average rate of change from x=0 to x=1
1
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computer video games can be delivered in one of two formats: digital (d…
B. negative
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find the average rate of change over the given interval. 2. 0<x<3
A. $\frac{7}{3}$
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find the average rate of change of f(x)=2x^2+3x - 1 from 1 to 2.
9
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what is the average rate of change of 1, 5?
D. -0.75
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the temperature of a person during a certain illness is given by the fo…
The relative maximum point is \((4,101.8)\)
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the temperature of a person during a certain illness is given by the fo…
A. The relative maximum point(s) is (4, 101.8)
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questions 11 through 13 refer to the following. question refers to the …
A. organize and regulate Native American labor
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g(x)= -x^3 + 12x - 10 a) select the correct choice below and, if necess…
a) A. The critical value(s) of the function is/are - 2,2 b) A. The relative minimum point(s) is/are $(-2,-26)$ and the relative maximum point(s) is/are $(2,6)$
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precalculus chapter 1.1 - 1.2 and chapter 2 quiz review directions: you…
1) a and b are functions, c is not. 2) a) $f(2)=2$; b) $f(98)=10$; c) $x = 23$; d) $x=-2$ 3) Domain: \{3,4,5,6\} 4) Range: \{5,10,15,20\} 5) Yes, because each x - value has exactl…
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find the average rate of change of $g(x)=2x^{2}+7$ from $x = 5$ to $x =…
28
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find a) any critical values and b) any relative extrema. g(x)= -x^3 + 1…
a) A. The critical value(s) of the function is/are $-2,2$ b) The relative minimum is $-26$ at $x=-2$ and the relative maximum is $6$ at $x = 2$.
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f(x)=x^{2}-6x + 3 a) select the correct choice below and, if necessary,…
a) A. The critical value(s) of the function is/are 3 b) C. The relative minimum point(s) is/are (3,-6) and there are no relative maximum points.
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find a) any critical values and b) any relative extrema. f(x)=x^2 - 6x …
a) A. The critical value(s) of the function is/are $3$. b) The relative minimum is $-6$ at $x = 3$.
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central ideas & inferencing week 4 day 1 1. what is your name? day 1 th…
1. The Model T was not the first car, but was very popular. 2. Windshield wipers have not always been required.
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a legal term to describe a work of the mind is ____________. * fair use…
1. Intellectual Property 2. Attribution - NoDerivs
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being able to reasonably use a portion of a copyrighted work as long as…
1. Fair Use 2. Derivative work 3. Attribution - ShareAlike
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my neighbor insists he is the most generous man on the block. yesterday…
B. First person
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what is the fdic? what does it do for you as a consumer? federal deposi…
1. Federal Deposit Insurance Corporation; protects your deposits up to a certain limit
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business organization directions: true/false in the blank, indicate whe…
1. T 2. F 3. F 4. T 5. F 6. A. charter 7. C. sole proprietorship 8. B. inventory 9. B. a partnership in which at least one partner has less responsibility in the business operatio…
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the state of california, often considered a hearth of environmental law…
E. Similar environmental laws will likely spread through stimulus diffusion to other states via political activism.
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the state of california, often considered a hearth of environmental law…
E. Similar environmental laws will likely spread through stimulus diffusion to other states via political activism.
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122 course ap precalculus due tue, oct 7, 2025 6 default gallery 6. $x^…
The solution set is $(-\infty,\infty)$
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turkeys were once threatened birds. wild turkeys lived in the woods. pe…
6. C. lost their homes 7. A. food 8. C. lawmakers 9. B. other areas 10. D. saved the turkeys
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hw14 the chain rule (target c4; §3.6) score: 10/11 answered: 10/11 ques…
Velocity at $t = 4$: $4\cos(8)$ inches per second Acceleration at $t = 4$: $-8\sin(8)$ inches per second²
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hw14 the chain rule (target c4; §3.6) due: thu oct 9, 2025 11:59pm atte…
$-5e^{x\sin x}(\sin x + x\cos x)$
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hw14 the chain rule (target c4; §3.6) score: 8/11 answered: 9/11 questi…
\(-315x^{8}\sin(10x^{9})\)
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hw14 the chain rule (target c4; §3.6) due: thu oct 9, 2025 11:59pm atte…
$-315x^{8}\sin(10x^{9})$
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hw14 the chain rule (target c4; 53.6) score 7/11 answered 7/11 question…
$-\frac{40(x + 6)^{7}}{(x + 1)^{9}}$
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hw14 the chain rule (target c4; §3.6) score: 6/11 answered: 6/11 questi…
The derivative is \(-2e^{-3x}(3\cos(7x)+7\sin(7x))\) and the equation of the tangent line is \(y=-6x + 2\)
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hw14 the chain rule (target c4; §3.6) score: 5/11 answered: 5/11 questi…
\(-6\csc(3x)\cot(3x)\)
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hw14 the chain rule (target c4; §3.6) due: thu oct 9, 2025 11:59pm atte…
$-6(3x + 2)^{-3}$
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hw14 the chain rule (target c4; §3.6) due: thu oct 9, 2025 11:59pm atte…
\(5(48x^{7}-63x^{8})e^{6x^{8}-7x^{9}}\)
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hw14 the chain rule (target c4; §3.6) score: 2/11 answered: 2/11 questi…
$4x^{3}\cos(x^{4})$
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hw14 the chain rule (target c4; 53.6) score: 1/11 answered: 2/11 × ques…
$\frac{48x\sqrt{3 + 2x^{4}}+64x^{5}\sqrt{3 + 2x^{4}}}{3 + 2x^{4}}$
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hw14 the chain rule (target c4; §3.6) score: 1/11 answered: 1/11 questi…
$\frac{48x\sqrt{3 + 2x^{4}}+64x^{5}\sqrt{3 + 2x^{4}}}{3 + 2x^{4}}$
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hw14 the chain rule (target c4; §3.6) due: thu oct 9, 2025 11:59pm atte…
$60(3x^{8}+10x^{6})^{11}(24x^{7}+60x^{5})$
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let b represent the base diameter of a certain type of tree and let h r…
A. It is the growth rate of the base diameter with respect to the height
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hw12 derivatives of trigonometric functions (target score: 6/7 answered…
$\frac{-49\cos(v)}{(4 + 9\sin(v))^{2}}$
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hw12 derivatives of trigonometric functions (target c3; §3.5) score: 5/…
\((8x - 2)\cot(x)-(4x^{2}-2x + 1)\csc^{2}(x)\)
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hw12 derivatives of trigonometric functions (target c3; $3.5) score: 4/…
$10x\sin x + 5x^{2}\cos x$
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hw12 derivatives of trigonometric functions (target c3; sect;3.5) due: …
$5\sin x + 5\cos x+5x\cos x - 5x\sin x$
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hw12 derivatives of trigonometric functions (target c3; $3.5) score: 2/…
$u'(x)=\cos(x)$ $v'(x)=18x^{17}$ $f'(x)=\frac{x\cos(x)-18\sin(x)}{x^{19}}$
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hw12 derivatives of trigonometric functions (target c3; §3.5) score: 1/…
$5\cos x - 9\sin x$
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hw11 differentiation rules ii (target c1, c2, c5; §3.3) score: 7/8 answ…
$-25$
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hw11 differentiation rules ii (target c1, c2, c5; §3.3) score: 6/8 answ…
$7$
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hw11 differentiation rules ii (target c1, c2, c5; §3.3) score: 5/8 answ…
$\frac{5}{(\sqrt{x}+5)^{2}\sqrt{x}}$
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hw11 differentiation rules ii (target c1, c2, c5; §3.3) score: 4/8 answ…
$\frac{-26x}{(7 + x^{2})^{2}}$
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hw11 differentiation rules ii (target c1, c2, c5; §3.3) score: 3/8 answ…
$\frac{e^{x}(2 - x)}{4(1 - x)^{2}}$
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hw11 differentiation rules ii (target c1, c2, c5; §3.3) score: 2/8 answ…
$(-18x^{5}+20x^{9})(10e^{x}-2)+(-3x^{6}+2x^{10})(10e^{x})$
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hw11 differentiation rules ii (target c1, c2, c5; §3.3) score: 1/8 answ…
$24t^{3}+72t^{2}+82t + 20$
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hw11 differentiation rules ii (target c1, c2, c5; §3.3) score: 0/8 answ…
(1) \((fg)'=fg'+gf'\) (2) \(x^{3}e^{x}(x + 4)\)
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hw10 differentiation rules 1 (targets c1, c5; §3.3) due: mon oct 6, 202…
$f'(x)=\frac{5}{x}-\frac{3}{x^{2}}$
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hw10 differentiation rules 1 (targets c1, c5; §3.3) score: 7/9 answered…
$y = 7x-4$