微积分
极限、导数、最优化与函数性质。
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why is competition limited in an oligopoly? ○ high entry costs prevent …
A. High entry costs prevent new producers from entering the market.
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exercise 2.2 theme 1 | lesson 2: economic way of thinking the boring sc…
D ### 2.
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but we stand here representing people who are the equals before the law…
A. It creates a sense of unity and common cause among all workers.
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passage 1: cross of gold by representative william jennings bryan 1 the…
A. It suggests that differences over bimetallism are less important than party loyalty.
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passage 1: cross of gold by representative william jennings bryan 1 the…
metropolis
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in general, which of the following is not true concerning teens and mar…
D. Many married teens remain together for a large number of years.
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passage 1: cross of gold by representative william jennings bryan 1 the…
C. by emphasizing the economic burden that has fallen to farms and country towns
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read the passage chittaranjan das was an indian political activist for …
2. A responsible self - government is one that is local and accountable to the people.
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lim\\limits_{x \\to 7} \\frac{x^2 - 14x + 49}{x - 7} = --- (no calculat…
\(0\)
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(lim_{x \to 17} \frac{x^2 - 3x - 238}{x - 17} = ) --- (no calculator)
\(31\)
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3. find the value of f(-4). y = f(x)
\( \frac{15}{4} \) (or \( 3.75 \))
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$\\lim\\limits_{x \\to 12} \\frac{x^2 - 20x + 96}{x - 12} = $ (no calcu…
\(4\)
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lim\\limits_{x\\to 6} \\frac{2x^2 - 3x - 54}{x - 6} = \\_\\_\\_ (no cal…
\(21\)
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what is a potential disadvantage of a market economy? lack of individua…
C. Potential inequality
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what is the main drawback of a sole proprietorship? options: they are r…
They have unlimited personal liability
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determine the values for x when the given function is decreasing option…
\( 5 \leq x \leq 6 \) (corresponding to the option "5 ≤ x ≤ 6")
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determine the values for x when the given function is increasing. optio…
\( 10 \leq x \leq 12 \) (corresponding to the option: \( 10 \leq x \leq 12 \))
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determine the relative maximum and minimum of the given function. selec…
# Explanation: ## Step1: Recall relative max/min definition A relative maximum is a point where the function changes from increasing to decreasing, and a relative minimum is where…
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determine the absolute maximum and minimum of the given function. selec…
The absolute maximum is \( y = 400 \) and the absolute minimum is \( y = -300 \). So the correct options are: \( \boldsymbol{y = 400} \) \( \boldsymbol{y = -300} \)
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state the practical meaning of the slope and y-intercept for the situat…
B. $25 is the cost per day to rent the car and $0.15 is the cost per mile.
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the dunning-kruger effect is a cognitive bias whereby people with limit…
A. overestimate
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3. find each indefinite integral. (a) $\\int 7 dx$ (b) $\\int 9x^2 dx$ …
s: (A) \( \boldsymbol{7x + C} \) (B) \( \boldsymbol{3x^{3}+C} \) (C) \( \boldsymbol{\ln|x| + C} \) (D) \( \boldsymbol{-\frac{1}{3x^{3}}+C} \) (E) \( \boldsymbol{5e^{u}+C} \)
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7. the area a of a healing wound changes at a rate given approximately …
The area of the wound in 10 days will be \( 0.02 \) square centimeters.
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john has a large apple orchard. he has decided to bake pies and sell th…
John is using resources to produce both goods and services.
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which statement explains a way how the securities and exchange commissi…
D. The SEC generally oversees financial advisers
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which of these is an advantage of checking accounts? checking accounts …
B. Checking accounts allow convenient ways to deposit or withdraw funds.
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what is the government’s aim in setting quotas? ○ to create more compet…
B. to increase sales of domestic goods
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what is the most common reason why countries create trade agreements? ○…
B. to create free trade
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according to this quotation, what did president ronald reagan believe a…
C. Increased fair trade would help the economy
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what is the purpose of quotas? to ban all imports from a country to ens…
C. to limit how much of a good can be imported
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what do quotas and embargoes have in common? ○ they both tend to raise …
C. They both set limits on imported goods
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when a country chooses to limit the kinds of goods or services it produ…
D. specialization
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which explains the connection between the law of demand and excess dema…
The correct option is the second one: "The law states that decreases in price leads to greater quantity demanded and limited supply, which occurs during excess demand."
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which best describes a central bank’s primary goals? ○ limiting inflati…
limiting inflation and reducing unemployment
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the number of hats made by a manufacturer t days after the start of the…
\( 5469.83 \)
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attempt 1: 10 attempts remaining. find the derivative ( y ) of the func…
\( y' = e^{2x + 4}(2x^3 + 3x^2 - 10x - 5) \)
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attempt 4: the answer is incorrect. 6 attempts remaining. let ( f(x) = …
The correct derivative of \( f(x)=3x^4\ln x \) is \( f'(x)=12x^3\ln x + 3x^3 \) (or \( f'(x)=3x^3(4\ln x + 1) \))
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account summary previous balance: $200.00 payments: $150.00 other credi…
$40
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account summary previous balance: $200.00 payments: $150.00 other credi…
$15
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match each part of a credit card with the definition. credit card parts…
- Annual fee: A yearly fee that may be charged for having a specific credit card - Annual Percentage Rate (APR): The interest rate you pay each year to borrow money, expressed as …
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1. what type of company was the virginia company? a. joint stock compan…
a. Joint - stock company ### Question 2
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attempt 1: 10 attempts remaining. the resale value v(t) of a car, in do…
\( V^\prime(6)\approx\boxed{-9.49} \)
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foundations and pre-calculus 10 11. $\frac{34}{121} \\div \\frac{17}{55…
$\frac{10}{11}$
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the number of visitors ( n(t) ) on a website ( t ) hours after launchin…
\( 1353 \) ### Part (b)
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the following model represents the total spent on education funding, in…
\(-8\) (or \(8\) if we consider the magnitude of the rate of change)
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attempt 1: 10 attempts remaining. differentiate: ( y = (r^2 + 2r)e^r ) …
\(y'=(r^{2}+4r + 2)e^{r}\)
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let f(x) = 3x⁴ ln x. f(x) =
\( f''(x)=36x^{2}\ln x + 21x^{2} \)
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find the derivative. ( f(x) = (2e^x + x)(2e^x - x) ); ( f(x) = ) submit…
\( 8e^{2x}-2x \)
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attempt 1: 10 attempts remaining. differentiate ( y = e^{3t}(t^2 + 3t) …
\( \frac{dy}{dt} = e^{3t}(3t^2 + 11t + 3) \)
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attempt 1: 10 attempts remaining. find the derivative ( y ) of the func…
\( 4 - \ln(x) \)
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attempt 1: 10 attempts remaining. find the derivative of f(x) = √x (5x³…
\(f'(x)=\frac{35x^{3}+5x^{2}-6x - 7}{2\sqrt{x}}\) (or in the form with exponents \(\frac{35}{2}x^{\frac{5}{2}}+\frac{5}{2}x^{\frac{3}{2}}-3x^{\frac{1}{2}}-\frac{7}{2}x^{-\frac{1}{…
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attempt 1: 10 attempts remaining. if f(t) = (t⁴ + 5t + 2)(2t⁻⁴ + 6t⁻²),…
\( 12t-16t^{-5}-24t^{-3}-30t^{-4}-30t^{-2} \) (or can be written as \( 12t-\frac{16}{t^{5}}-\frac{24}{t^{3}}-\frac{30}{t^{4}}-\frac{30}{t^{2}} \))
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attempt 1: 10 attempts remaining. a. find the derivative of ( g(x) = (7…
(for part a): \( g'(x) = 42x + 46 \) ### Part b: What is the slope at \( x = -2 \)?
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9 multiple choice 3 points if emily presents her speech in a manner tha…
D. Extemporaneous
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the function $n(t) = \\frac{14,000}{1 + 999e^{-t}}$ models the number o…
\( 13393 \)
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the function $n(t) = \\frac{14,000}{1 + 999e^{-t}}$ models the number o…
14
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due to limits on our time, money, and effort, we are best off when we a…
C. by constantly assessing the opportunity costs of our choices.
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which of the following statements describe(s) a free market? government…
A. Government does not intervene in any way.
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generally the most likely to limit religious freedom and diverse opinio…
Theocracy, Dictator
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attempt 1: 10 attempts remaining. find ( g(t) ) given ( g(t) = \frac{5e…
\( \frac{5e^t(t^2 - 2t - 19)}{(t^2 - 19)^2} \)
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jocee hactor introduction what is a short story? in what way can readin…
A short story is a brief work of prose fiction, usually focusing on a single plot, a limited number of characters, and a central theme. It uses literary elements (e.g., character,…
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2) find all relative maxima and minima. indicate which, if any, are abs…
Relative maximum: \( (-1,15) \) (no absolute maximum) Relative minimum: \( (2, - 12) \) (no absolute minimum)
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28. attempt 1: 10 attempts remaining. let ( f(x) = (ln x)^3 ) ( f(x) = …
\( \frac{3(\ln x)^2}{x} \)
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attempt 1: 10 attempts remaining. evaluate (\frac{d}{dt}(ln(3 + 6t)) =)…
\( \frac{2}{1 + 2t} \) (or \( \frac{6}{3 + 6t} \) which simplifies to \( \frac{2}{1 + 2t} \))
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attempt 1: 10 attempts remaining. find the derivative of the function (…
\( \frac{x e^{\sqrt{x^2 + 3}}}{\sqrt{x^2 + 3}} \)
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a. if n(c) = 8, what is the maximum number of elements in b? b. if n(b)…
7 ### Part b: Maximum number of elements in \( C \)
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7. compare and contrast how harrison is described first in paragraph 53…
In paragraph 53, Harrison is a prisoner burdened by handicaps (e.g., heavy weights, masks) to limit his gifts. In paragraphs 56–59, he is free of handicaps, revealed as strong, gr…
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construct arguments sheena says that in the graph of ( f(x) ) shown bel…
Sheena is incorrect. While B and G are relative maxima (since \( f(B) \geq f(x) \) for \( x \) near \( B \) and \( f(G) \geq f(x) \) for \( x \) near \( G \)), A is not a relative…
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attempt 1: 10 attempts remaining. find the derivative of the function (…
\( 12x(x^2 - 8)^5 e^{(x^2 - 8)^6} \)
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consider the derivation of sin(2x) step 1: sin(2x) = sin(x + x) step 2:…
Step 3 should read \(= 2\sin(x)\cos(x)\) (the last option: "Step 3 should read \(= 2\sin(x)\cos(x)\)")
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use estimation use a graphing calculator to estimate the x-coordinates …
Relative maximum: \( x\approx1.00 \) Relative minima: \( x\approx0.38 \), \( x\approx2.12 \)
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attempt 1: 10 attempts remaining. find the derivative of the function (…
\( (12x + 2)e^{6x^2 + 2x + 3} \)
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use estimation use a graphing calculator to estimate the x-coordinates …
Relative maximum: \( x\approx - 2.73 \) Relative minimum: \( x\approx0.73 \)
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attempt 1: 10 attempts remaining. find the derivative. ( y = sqrt{1 + e…
\( \frac{e^{2x}}{\sqrt{1 + e^{2x}}} \)
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evaluate (\frac{d}{dt}(3e^{-11t})). (\frac{d}{dt}(3e^{-11t}) = ) attemp…
\( -33e^{-11t} \)
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attempt 2: 1 attempt remaining. evaluate the limit (lim_{x \to -5} |x +…
\(0\)
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part b b. use the graph to describe the end behavior of the function. a…
C. As \(x \to -\infty\), \(y \to \infty\) and as \(x \to \infty\), \(y \to -\infty\)
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this question has two parts. first, answer part a. then, answer part b.…
Local Maximum at \(x=-3\), \(y = 4\); Local Minimum at \(x = 0\), \(y=-4\)
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what is the purpose of the us census bureau? it helps migrants move fro…
It conducts surveys about the nation’s population.
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homework - early humans due: monday, september 8, 2025 at 3:30 pm use f…
Early humans, as hunter - gatherers, were nomadic and overcame environmental limits in several ways. Their environment, which included factors like climate, available resources, a…
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identify and estimate the x- and y-values of the extrema. round to the …
Relative maximum at \((0, 4)\) Minimum at \((-2, - 4)\) and \((2, - 4)\)
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attempt 1: 2 attempts remaining. find the x-value(s) on the graph of f(…
\( -7, 3 \)
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the slope of the curve at point b ○ is equal to the slope at point a. ○…
is less than the slope at point A.
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suppose b is a proper subset of c. a. if n(c) = 8, what is the maximum …
\( 7 \) ### Part b: If \( n(B) = 8 \), what is the maximum number of elements in \( C \)?
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question 11 let ( f(x) = \frac{x - 3}{sqrt{x^2 + 5}} ). which of the fo…
\((-\infty,\infty)\)
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a new eco-friendly clothing brand, green threads, is creating its insta…
Profile Picture: A stylized "GT" monogram in green and white. Bio: "Eco - conscious fashion for a better planet. Style meets sustainability. #WearGreen #EcoChic"
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over the course of a lifetime, the factors that influence us and more l…
A. Selection bias
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read the excerpt from act 3 of a dolls house. nora: in all these eight …
B. The conflict between Nora and Helmer shows how gender roles were defined, as Helmer has complete control over everything, including what the couple discusses.
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20. g(x) = 4x
Since the problem statement for \( g(x) = 4x \) is incomplete (e.g., we don't know what is being asked about this function, like finding its derivative, integral, inverse, evaluat…
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sample response: bolivar is a supporter of enlightenment ideas because …
- $\boldsymbol{\square}$ He believes in and supports the concepts of equal rights as expressed by Locke. - $\boldsymbol{\square}$ He is skeptical that representative government ca…
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calculator required example 6: the table gives the life expectancy of u…
(D) from 1950 to 2000 (Wait, no—wait, in Step 3, we calculated 0.3404, which is higher than Step 4’s 0.2236. Wait, I made a mistake. Let’s recheck: Wait, 70.65 - 53.63 = 17.02, di…
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one benefit of attending a technical school program is lower lifetime e…
lower costs to attend
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question 13 (multiple choice worth 5 points) oscar wants to buy a new t…
Present bias (the option corresponding to "Present bias" among the given choices)
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the concentration ( c(t) ) of a certain drug in the bloodstream after (…
\( 0.013 \)
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solve each proportion. 16. $\frac{x}{13} = \frac{18}{39}$ $x =$ (with w…
\(x = 6\) ### Problem 17:
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score: 0 of 1 point the admission fee at an amusement park is $3.25 for…
Number of children: \( 159 \) Number of adults: \( 150 \)
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for the function g(x) graphed here, find the following limits or state …
s: a. $\lim_{x\to 2} g(x)=\boldsymbol{4}$ (Option A with value $4$) b. $\lim_{x\to 4} g(x)=\boldsymbol{4}$ c. $\lim_{x\to 6} g(x)=\boldsymbol{-2}$ d. $\lim_{x\to 4.5} g(x)=\boldsy…
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because of their connection with secant lines, tangents, and instantane…
\( \frac{\sqrt{2}}{4} \)
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solve each proportion. 16. \\(\\frac{x}{13} = \\frac{18}{39}\\) \\(x = …
\(x = 6\) ### Problem 17
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find the limit. (lim_{c \to 5} \frac{\frac{1}{c} - \frac{1}{5}}{c - 5})
\(-\frac{1}{25}\)