微積分
極限、導関数、最適化、関数挙動。
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using technology to help analyze a function graph the function y = x³ +…
B. $(-1.8,13.2)$
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4. write a summary of what napoleon did to act like a dictator accordin…
Napoleon centralized political power, limiting political opposition. He controlled the media to shape public opinion. He also made major decisions without significant input from o…
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find the difference quotient and simplify. $f(x)=-3x^{2}-8x + 2$ the di…
$-6x-3h - 8$
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given (f(x)=2x + 2). (a) find (f(x + h)) and simplify. (b) find (\frac{…
(a) \(f(x + h)=2x+2h + 2\) (b) \(\frac{f(x + h)-f(x)}{h}=2\)
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1(b) $lim_{y ightarrow - 4}\frac{y^{3}-64}{y^{2}-7y + 12}$
$48$
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the main advantage that corporations have is limiting liability for own…
A. limiting liability for owners and stockholders.
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f(x)=-4(x - 2)^2+4 1. using the graph calculate the average rate of cha…
1. The average rate of change in the interval $0\leq x\leq1$ is $12$. 2. The instantaneous rate of change at $x = 3$ is $-8$.
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use the limit laws and theorem to find the limit. a. lim x→3 (x² + 3x)/…
$4$
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1. $f(x)=4 - x^{2}$; $f(-3), f(0), f(1)$
$f'(-3)=6$, $f'(0)=0$, $f'(1)=-2$
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let h be the function defined by h(x) = (7x²+14x)/(x² - 4). answer the …
The \(x\) - value for the removable discontinuity is \(x=-2\) and the vertical asymptote is \(x = 2\).
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kahlo was injured in an accident that broke her spine in several places…
It provides a hopeful image that suggests that Kahlo was not restrained by her condition.
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f(x)=3\\sqrt{(x + 3)}-2 1. using the graph calculate the average rate o…
1. The average rate of change over the interval $1\leq x\leq6$ is $0.6$. 2. The instantaneous rate of change at $x = 6$ is $0.5$.
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question 6 1 pts how does information assurance provide both digital an…
It prevents unauthorized access to information and actively counteracts threats.
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ange using graphs $f(x)=2|x - 4|+2$ 1. using the graph calculate the av…
1. 2 2. 2
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a ____________ is an organization that is owned and controlled by the p…
D. cooperative
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midas muffler sells franchises to prospective business persons who want…
C. franchisor; franchisee
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one reason limited liability companies have become so popular is that t…
can be taxed either as a corporation or as a partnership—owners can choose the tax treatment that is most advantageous for their situation
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gregs band wants to form a partnership. general partners will include t…
limited partnership
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blake owns a business that installs hardwood flooring. the business emp…
B. sole proprietorship
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writing equations cw/hw write a polynomial function of least degree wit…
1. \(1\) 2. \(-6\) 3. \(8\)
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autoevaluación unlimited attempts left due 1 números write the numbers …
1. Eleven 2. Thirty 3. Twenty - two 4. Nine 5. Sixteen
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4. a railroad track and a road cross at right angles. an observer stand…
A. 57.60
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the graph of f is shown below. answer the following: a. \\(\\lim_{x\\to…
a. $\lim_{x ightarrow 3}f(x)=0$ b. $\lim_{x ightarrow 5^{-}}f(x)=1$ c. $\lim_{x ightarrow 5^{+}}f(x)=4$ d. $f(5)$ is undefined
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3. no calculator let ( f ) be a function defined for all real numbers (…
A. $(-\infty,2)$
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suppose r(t) = <cos(πt),sin(πt),4t> is the position vector function for…
(a) $t = 3$ seconds (b) $\mathbf{v}(3)=\langle0,-\pi,4 angle$
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what was the result of the english civil war? parliament was dissolved,…
1. English Bill of Rights 2. King Charles I was executed
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2. no calculator at what point on the graph of $y = \\frac{1}{2}x^{2}$ …
B. $(\frac{1}{2},\frac{1}{8})$
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find the velocity, acceleration, and speed of a particle with position …
$\sqrt{64 + 164t^{2}}$
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5. an object is sent through the air. its height is modelled by the fun…
$-27$ m/s
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12. one theme of the passage is that. f. ones previous experiences and …
12. F. one's previous experiences and pursuits can be useful in achieving success 13. D. Holmes started Sound Ideas 14. H. friendly and easygoing 15. D. describe what inspired Hol…
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the enlightenment a. put it in perspective. shade in the enlightenment …
B. Liberty; Without freedom of speech, people cannot express their opinions, advocate for their rights, or participate in democratic processes that are essential for liberty. C. A…
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12. one theme of the passage is that: f. ones previous experiences and …
12. F. one's previous experiences and pursuits can be useful in achieving success. 13. (No passage content provided to determine the answer. Need more information.) 14. (No passag…
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directions: construct a graph or chart to represent the following vocab…
1. **The Great Compromise**: Bicameral legislature solution to representation debate. 2. **3/5th Compromise**: Counted 3/5 of slaves for apportionment. 3. **Limited Government**: …
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unit 3: constitution(s) study guide due thursday 9/18/25 directions: ha…
No specific question was asked. But to complete the last part of the guide: Strengths of the A.O.C. (Articles of Confederation): 1. It united the 13 original states. 2. It allowed…
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14.5/33 ab continuity $lim_{x ightarrowinfty}\frac{x^{4}-2x^{2}+3x - 4}…
$0$
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what is the definition of fair market value? an order to sell a stock w…
The amount someone is willing to pay for an item.
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1. a. (y = e^{x - 3}); over (3,7) b. (y=sqrt{6 - 3x}); over (0,2) 2. fi…
2a. 5 2b. 4 2c. 1 2d. 1 2e. \(-\infty\) 2f. \(-\infty\) 2g. \(\infty\) 2h. \(-\infty\) 2i. 1 5a. \(\frac{3}{5}\) 5b. \(\frac{5}{3}\) 5c. \(\frac{3}{2}\) 3. 2d 4. 2e, 2f, 2g, 2h
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2. find the limit. a. $lim_{x ightarrow - 1}(2x^{2}-3x)$ b. $lim_{x igh…
a. $5$ b. $4$ c. $1$ d. $1$ e. $-\infty$ f. $\frac{1}{5}$ g. $+\infty$ h. $-\infty$ i. $1$
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1. find the average rate of change of the function over the given inter…
a. $-\frac{\ln(3)}{2}$ b. $\frac{e^{4}-1}{4}$ c. $-\frac{\sqrt{6}}{2}$
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directions: write a limit statement describing the output values for th…
\(\lim_{x\to-\infty}f(x)=-1\)
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multiple select question select all that apply look at this image. by u…
- Emphasis on the young boy and older man - Subordination of the table cloth and pitcher
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youtube: the atlantic slave trade comprehension check. which factor bes…
It provided labor that fueled plantation economies and wealth for European empires
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rita bakes pies at a bakery. the number of pies she can bake, x, is lim…
$-3$; $5$; $4$
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50 adjectives - an adjective is a word that modifies a noun or a pronou…
**A. Write three adjectives to describe each noun** 1. mountains: tall, majestic, rocky 2. weather: sunny, stormy, cold 3. journey: long, adventurous, tiring 4. classroom: noisy, …
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13. limit statement: ( lim_{x ightarrow-infty}f(x) ) 15. the input valu…
\(\lim_{x\to\infty}h(x)=1\)
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the polar curve $r = 2 + 3sin\theta$ is graphed for $0leq\thetaleq2pi$.…
a) $\frac{1}{2}\int_{\pi+\arcsin(\frac{2}{3})}^{2\pi-\arcsin(\frac{2}{3})}(2 + 3\sin\theta)^{2}d\theta$ b) $x = -\frac{2\sqrt{2}}{3},y=-\frac{1}{3}$ c) $\int_{0}^{\pi+\arcsin(\fra…
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question 11 2 pts what do we call the study of how people and countries…
D. economics
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which sentence in the text uses a clear example of an allusion? the spe…
B. However, there may be a way to teleport, like Houdini, from one part of the galaxy to another.
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the knowledge of death, of the implacable limits placed on a mans exist…
C. young men who have old minds
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find the limit. (hint: try multiplying and dividing by the conjugate.) …
$0$
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question 4 according to the article, which of these happened before the…
C. Labor unions became more outspoken and stronger in number, leading to the start of the labor movement.
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$$lim_{x \to 1^{+}} \frac{x^{2}-3x + 2}{x^{2}-2x + 1}$$
$-\infty$
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4) example 5 p. 244. for each graph, find the absolute maxima and minim…
**Graph (a)**: Absolute max: $(3,6)$; Absolute min: $(0,1)$; Local max: $(3,6)$; Local min: $(4,4)$ **Graph (b)**: Absolute max: $(5,3)$; Absolute min: $(3,1)$; No non - absolute …
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find the limit. write ∞ or - ∞ where appropriate. lim_{x→1} \\frac{-4}{…
\(-\infty\)
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find the limit. write ∞ or - ∞ where appropriate. lim(x→5⁻) 3/(x - 5) l…
$-\infty$
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divide the numerator and the denominator by the highest power of x in t…
$-\frac{5}{6}$
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divide the numerator and the denominator by the highest power of x in t…
\(0\)
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question 15 what is the impact of increasing capital investment on real…
It increases the capacity for production
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divide numerator and denominator by the highest power of x in the denom…
0
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find the limit of the rational function (a) as x→∞ and (b) as x→ -∞. wr…
$0$
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find the limit of the rational function a. as x→∞ and b. as x→ - ∞. wri…
$\frac{3}{20}$
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tb mc qu. 04 - 01 (algo) market failure is said to... market failure is…
markets fail to deliver the highest possible amount of net benefits from the limited amount of resources available to society.
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find the limit of the rational function (a) as x→∞ and (b) as x→ - ∞. w…
$5$
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find the limit of f(x) = $\frac{5}{x}$ - 2 as x approaches $infty$ and …
-2
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find the limit of f(x) = \\frac{5}{x}-2 as x approaches \\infty and as …
-2
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classify the discontinuities in the function $h(x)=\frac{x^{3}-7x^{2}+1…
Removable discontinuity at $x = 0$; Infinite discontinuity at $x = 8$
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classify the discontinuities in the function below at the given point. …
A. The discontinuity at $x = 5$ is a removable discontinuity. The function can be redefined at this point so that $f(5)=-2$.
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is the discontinuity at x = - 3 in the given graph removable? explain. …
C. No, because f cannot be made continuous at \(x = - 3\) by redefining \(f(-3)\).
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is it true that a continuous function that is never zero on an interval…
Yes. By the Intermediate Value Theorem, if a function changed sign, its value was zero at some point.
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if f(x) = x^3 - 4x + 6, show that there are values c for which f(c) equ…
A. Yes, because \(f(170)<5000000<f(175)\)
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if f(x)=x^3 - 4x + 6, show that there are values c for which f(c) equal…
$5358681$
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what does \scarce resources\ mean? it is impossible to allocate resourc…
There is a limit on the availability of resources.
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which of the following is true of wants and needs? they are irrelevant.…
They are unlimited.
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which of the following is true of wants and needs? they are irrelevant.…
They are unlimited.
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if f(x)=x³ - 4x + 6, show that there are values c for which f(c) equals…
(a) Yes, because \(f(-3)<\pi<f(-2)\) (b) Yes, because \(f(-3)<-\sqrt{3}<f(-2)\) (c) \(f(165)=4491471\)
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if f(x)=x^3 - 4x + 6, show that there are values c for which f(c) equal…
For the first question (a): Yes, because \(f(-3)<\pi<f(-2)\) For the second question (b): B. Yes, because \(f(-3)<-\sqrt{3}<f(-2)\)
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if f(x)=x^3 - 4x + 6, show that there are values c for which f(c) equal…
A. Find values of \(x_1\) and \(x_2\) for which \(f(x_1)\leq\pi\leq f(x_2)\) or \(f(x_1)\geq\pi\geq f(x_2)\) Yes, because \(f(-3)<\pi<f(-2)\)
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if f(x)=x³ - 4x + 6, show that there are values c for which f(c) equals…
6
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if f(x)=x³ - 4x + 6, show that there are values c for which f(c) equals…
A. Find values of \(x_1\) and \(x_2\) for which \(f(x_1)\leq\pi\leq f(x_2)\) or \(f(x_1)\geq\pi\geq f(x_2)\); \(f(-3)=-9\)
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if f(x)=x³ - 4x + 6, show that there are values c for which f(c) equals…
A. Find values of \(x_1\) and \(x_2\) for which \(f(x_1)\leq\pi\leq f(x_2)\) or \(f(x_1)\geq\pi\geq f(x_2)\).
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read the passage. bringing books to people when mary lemist titcomb bec…
In her quest to expand library access, Mary Titcomb designed the first mobile library.
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a continuous function y = f(x) is known to be negative at x = 4 and pos…
B. $f(x) = 0$ has at least one solution between $x = 4$ and $x = 6$ because $f$ is a continuous function on the closed interval $[4,6]$, and if $y_0$ is any value between $f(4)$ a…
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for what values of a and b is the following function continuous at ever…
$a=\frac{7}{2}$ and $b =-\frac{5}{2}$
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pax by sara pennypacker quiz 1 multiple choice 8 points what is the pri…
C. Third - person limited from the fox's perspective
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for what values of a is the following function continuous at every x? f…
A. $a = 4,-2$
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for what value of a is the following function continuous at every x? f(…
A. \(a=\frac{5}{6}\)
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define f(2) in a way that extends f(s) = \\frac{s^{3}-8}{s^{2}-4} to be…
$3$
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find the following limit. is the function continuous at the point being…
B. $\lim_{x ightarrow\pi/4}\sqrt{\csc^{2}x + 2\tan x}=2$, and the function is continuous at $x=\frac{\pi}{4}$.
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ma 241 calculus 1 practice for test 1 fall 2025 26. find the limit. you…
$3$ ### b.
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what does it mean when the point of view is limited? the narrator does …
D. The narrator doesn't know everything about all of the characters or details.
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find the limits. is the function continuous at the point being approach…
A. The function is continuous at $x = \frac{7\pi}{16}$ because it is a composition of two continuous functions and $\lim_{x ightarrow\frac{7\pi}{16}}\cos(8x - \cos(8x)) = 0$
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at what points is the following function continuous? f(x) = \\begin{cas…
$(-\infty,\infty)$
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ma 241 calculus 1 practice for test 1 fall 2025 26. find the limit. you…
a. $3$ b. $0$ c. $\infty$ d. $\sqrt{5}$ e. $\sqrt{2}$
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at what points is the given function f(x) continuous? f(x)=\frac{11}{x …
$(-\infty,10)\cup(10,\infty)$
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use the function and the accompanying figure to answer the following qu…
a. Yes b. Yes
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how could you explain point of view in fiction to a friend? the author …
The author tells a story from one or multiple perspectives.
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use the function and graph to answer the questions about existence, lim…
Does \(f(-2)\) exist? No Does \(\lim_{x ightarrow - 2}f(x)\) exist? Yes Does \(\lim_{x ightarrow - 2}f(x)\) equal \(f(-2)\)? No
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use the function and graph to answer the questions about existence, lim…
No
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state whether the function graphed is continuous on -2,4. if not, where…
C. The graph is continuous on $[-2,4]$
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22. find a so that the function is continuous at every point. guessing …
$a = 0$ ### 23.