Calculus
Limits, derivatives, optimization, and behavior of functions.
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orange, diamond - shaped, or rectangular signs alert drivers of _______…
# Breve explicación: Los signos de color naranja, con forma de diamante o rectangular, se utilizan comúnmente para alertar a los conductores sobre zonas de construcción donde pued…
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britney sets a limit on how much money she can spend at restaurants dur…
The inequality that describes the problem is $\frac{x}{5}<20$. Britney wants to spend less than $\$100$ at restaurants in June.
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question the function y = f(x) is graphed below. what is the average ra…
$\frac{f(-3)-f(-6)}{3}$ (values of $f(-6)$ and $f(-3)$ need to be read from the graph precisely)
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use the information to determine each limit. (if the limit is infinite,…
0
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find the one - sided limit (if it exists). (if the limit is infinite, e…
$-\frac{1}{13}$
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what must you provide in an explanation of a claim? evidence and reason…
Evidence and reasoning
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find the vertical asymptotes (if any) of the graph of the function. (en…
x = -2, x = 1
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3. - / 1 points evaluate the limit, if it exists. (if an answer does no…
$3$
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evaluate the limit, if it exists. (if an answer does not exist, enter d…
$-\frac{1}{49}$
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the following is from a newspaper article. the city council will begin …
2. It is about a controversial issue in which no solution will likely be found that pleases everyone.
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the graph of f(x) is shown below. estimate and list the value of x wher…
x = - 2, x = 4
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a ball is thrown into the air by a baby alien on a planet in the system…
-148.056 -148.028
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for each value below, enter the number correct to four decimal places. …
$[7,8]:$ $49.5500$ $[7,7.5]:$ $50.0050$ $[7,7.1]:$ $50.9370$ $[7,7.01]:$ $43.1217$ $[7,7.001]:$ $52.9170$
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each of the following sentences has a figurative comparison. underline …
1. Both create a wintry, desolate scene. 2. Both are examples of his good cooking. 3. Both have a loud, harsh sound. 4. Both show a difference in size perception. 5. Both are long…
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5 the creation of bantustans is similar to what practice in american hi…
A. Limiting Native American land to reservations
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1 what are some of the most important principles included in the foundi…
Popular sovereignty, limited government, and the rule of law are some important principles in founding documents.
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which statement explains a way how the securities and exchange commissi…
The SEC generally oversees financial advisers.
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select all the correct answers. what were the results of nixons decisio…
A. A student anti - war protest broke out at the Capitol in Washington. D. Americans felt he abused his powers by not consulting Congress. E. Congress passed the War Powers Act th…
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select all the correct answers. which two statements describe differenc…
The United States protected free speech, while the Soviet Union placed strict limits on expression. The state - controlled economic markets in the Soviet Union, while the United S…
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question 3 using the method of separation of variables, solve the follo…
$u(x,t)=8e^{-2x-6t}$
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the black graph is y = cos x. choose the equation for the red graph. y …
$y=\cos(x-\frac{\pi}{2})+1$
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the graph below shows the hectares of land available for cultivation an…
3.1.1 (a) Limited availability. (b) Natural resource for cultivation. 3.1.2 The decline in arable land over years indicates scarcity. 3.1.3 Habitat for wildlife; Recreational use.…
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3.1.1 use your calculator to complete the following table: | θ | 30° | …
3.1.1 Table values (from left to right): 0.866, 0.5, 1, 0, -1, 0 3.1.3 360° 3.1.4 [-1, 1] 3.1.5 1 3.1.6 It shifts the graph of f(θ) to the left by 30°. 3.1.7 Because the domain of…
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the graph of the polynomial function f is shown. how many points of inf…
B. Three
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the graph of the polynomial function g is shown. the function f is defi…
B. Four
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1 mark for review for the polynomial function g, the rate of change of …
D. The graph of $g$ has a point of inflection at $x = 2$, is concave up for $x < 2$, and is concave down for $x>2$
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the function f is given by f(x)=x² + 3x - 6. which of the following des…
D. For any interval of $x\lt - 1.5$, the function has a negative rate of change, and for any interval of $x\gt - 1.5$, the function has a positive rate of change.
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the graph of the function y = g(x) is given. of the following, on which…
B. $-1\leq x\leq0$
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the constitution regulates government powers by providing a majority of…
providing guides and limits to the government's power.
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how does the united nations differ from the league of nations in its ap…
It addresses a broader range of issues.
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the period of atomic espionage was not limited to scientific innovation…
for sharing atomic secrets with the Soviet Union
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id no: section: part i:write true if the statement is correct or false …
## Part I: 1. True 2. False 3. False 4. True 5. True 6. True ## Part II: 1. $N(t)=\frac{T'(t)}{\vert T'(t)\vert}$ 2. level curve 3. $\frac{2}{3}$ 4. $\sqrt{5}$ ## Part III: 1. A. …
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los alamos facilities: extensive facilities and testing sites in los al…
B. Los Alamos, New Mexico
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kayla chege, a 15 - year - old in kansas, thinks no question is too sma…
Once upon a time, there was a young student named Lily. She was just like Kayla, living in a world where AI was everywhere. Lily used ChatGPT for every little thing, from helping …
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2. identify the distribution of the deaths? what is the distribution of…
2. Analyze map for distribution. 3. Identify spatial patterns. 4. Determine origin, explain patterns. 5. Identify data limitations.
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for the position function s(t)=\frac{16}{t + 1}, complete the following…
| Time Interval | Average Velocity | | ---- | ---- | | $[0,1]$ | - 8 | | $[0,0.5]$ | - 10.667 | | $[0,0.1]$ | - 14.545 | | $[0,0.01]$ | - 15.842 | | $[0,0.001]$ | - 15.984 |
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how did the new deal change the role of the federal government during t…
It expanded federal programs to address social and economic challenges.
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assignment 3.3: rates of change and behavior of graphs score: 11.5/13 a…
$3$
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home > fall 2025 math195 tuesday/thursday > assessment assignment 3.3: …
18
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part: 1 / 2 part 2 of 2 the function has no relative minimum. the funct…
The function has no relative maximum.
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consider the graph of f shown below. estimate the average rate of chang…
$\frac{2}{3}$
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sugar plantations were hell because of the endless labor they demanded …
The repetition and connotations of words emphasize that slaveholders were merciless
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evaluate $lim_{x ightarrow0}sinleft(\frac{1}{4x^{2}} ight)$ using the f…
$\varnothing$
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how many amendments does the constitution have? 27 25 5 100 question 23…
First question: A. 27 Second question: Congress had to rely on sometimes unwilling states for tax revenue.
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question 20 · 1 point find the derivative of f(x)=3x^4 - 7x + 1. provid…
$12x^{3}-7$
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1. find the slope of the secant line pq for each point q(x, f(x)) with …
For \(x=-0.01\), \(m_{PQ}=-0.010000\) For \(x=-0.001\), \(m_{PQ}=-0.001000\) For \(x = 0.001\), \(m_{PQ}=0.001000\) For \(x = 0.01\), \(m_{PQ}=0.010000\) slope \(\approx0\)
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given (f(x)=3 - 5x^{3}), use a table to estimate the slope of the tange…
For $x = 0.01$, $m_{PQ}=-0.0005$; for $x = 0.001$, $m_{PQ}=-0.000005$; for $x=-0.001$, $m_{PQ}=0.000005$; for $x=-0.01$, $m_{PQ}=0.0005$. The slope of the tangent line at $P(0,3)$…
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the only laws that exist in the ______ are not covenants forged between…
Question 1: A. State of nature Question 2: A. By becoming tyrannical
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question 17 - 1 point find the points at which the following function i…
None of the above
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question 15 · 1 point for ( j(x)=f(x)cdot g(x)), use the product - rule…
$-47$
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question 14 · 1 point find $\frac{d}{dx}left(\frac{3}{x^{7}} ight)$. pr…
$-\frac{21}{x^{8}}$
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question 13 · 1 point find the average rate of change of the function f…
$0$
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select the correct answer below. o f(x) has a removable discontinuity a…
f(x) has a jump discontinuity at x = 3.
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question 11 · 1 point evaluate each of the following limits, then ident…
a. $\lim_{x ightarrow4^{-}}f(x)=-\infty$ $\lim_{x ightarrow4^{+}}f(x)=+\infty$ $\lim_{x ightarrow4}f(x)=\varnothing$ Vertical asymptote: $x = 4$
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question 9 - 1 point find the derivative of $f(x)=-\frac{4}{3x^{4}}$. p…
$-\frac{16}{3}x^{3}$
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use the graph of h(x) shown below to evaluate lim h(x), if possible. if…
$-1$
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question 6 - 1 point write the following sentence regarding a limit sym…
$0$
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question 5 · 1 point use the quotient rule to evaluate h(a) for the giv…
$\frac{63}{121}$
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question 4 - 1 point given that lim(x→1) f(x)= - 4 and lim(x→1) g(x)=1,…
$-3$
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question 3 · 1 point evaluate lim(x→0) ((-3x - 6)^2 - 36)/(-9x). submit…
$-4$
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question 2 · 1 point evaluate lim┬(x→1)(5x³ + 3x² + 5)/(5x - 4). enter…
13
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use the given graph to estimate the value of each derivative. (a) f(0) …
(a) $f'(0)\approx1$ (b) $f'(1)\approx0$ (c) $f'(2)\approx - 1$ (d) $f'(3)\approx - 1$ (e) $f'(4)\approx0$ (f) $f'(5)\approx1$
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your own separate lined paper!! dq = \\frac{f(x + h)-f(x)}{h}. be sure …
$2x+h + 5$
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the average rate of change of g(x) between x = 4 and x = 7 is $\frac{5}…
C. $\frac{g(7)-g(4)}{7 - 4}=\frac{5}{6}$
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maria created a graph of b(t), the temperature over time. for the inter…
The temperature was 32 degrees higher when $t = 7$ than when $t = 3$.
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the functions f(x), g(x), and h(x) are shown below. select the option t…
The order from least to greatest of the average rates of change is $g(x),f(x),h(x)$.
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the function y = f(x) is graphed below. what is the average rate of cha…
$-3$
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the functions $f(x)$, $g(x)$, and $h(x)$ are shown below. select the op…
$h(x),g(x),f(x)$
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the u.s. supreme court has stated that \broadly speaking, crimes in the…
C. criminal
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given the function h(x)=-x^2 - 10x + 29, determine the average rate of …
$-3$
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question given the function $g(x)=-x^{2}+2x + 8$, determine the average…
2
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which among the following methods is used by epistemology while examini…
Critical methods
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unit 1 - week 3 - the gilded age (immigration and urbanization) - ush e…
2. H Reducing competition for U.S. jobs 3. J promoting an ethnically homogeneous society through restrictions on immigration
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consider the graph of the function $f(x)=\frac{x^{3}-11x^{2}+30x}{x^{2}…
C. $x = 0$, D. $x = 5$
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identify a true statement about athletics. it requires specially traine…
It requires specially trained officials to ensure competitor fairness.
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question 5 · 1 point what is the horizontal asymptote of the graph of $…
$y=\frac{8}{7}$
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question 1 · 1 point consider the graph of the function $f(x)=\frac{x^{…
C. $x=-1$, E. $x=-2$
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identify a true statement about athletics. it restricts the participati…
It requires specially trained officials to ensure competitor fairness.
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read the research question why do high school students not spend enough…
It is clear and complex, this research question has a single focus that can be researched and discussed
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using the graph below find the average rate of change on -1,2.
$-1$
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find the average rate of change of the function f(x) = (2x - 1)^2 + 3 o…
$0$
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how was the government outlined in the fundamental orders of connecticu…
- The FOC gave the vote to all men who were property owners. - The FOC limited the governor's power which expanded the idea of representative government.
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read the excerpt from the storyteller. the smaller girl created a diver…
- "Whoever it was who had made the wager was likely to lose his bet" - "Evidently her reputation as a story - teller did not rank high in their estimation"
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use a graphing calculator to find the intervals on which the function i…
A. The function is increasing on the interval(s) $[-2.121,2.121]$
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in a particular city, taxicabs charge passengers $3.30 for entering a c…
4.9
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the candy factory sells candy by the pound, charging $1.25 per pound fo…
$1.75$
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use the graph to find the following limits and function value. a. lim f…
a. A. $\lim_{x\to0^{-}}f(x)=0$ b. $\lim_{x\to0^{+}}f(x)=0$ c. $\lim_{x\to0}f(x)=0$ d. $f(0)=1$
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determine whether the function is continuous over the interval (-6,6)? …
Yes
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use the limit properties to find the following limit, if it exists. lim…
A. $0$
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determine the following limit. lim_{x ightarrowinfty}\frac{20x^{3}+5x^{…
$\frac{20}{8}=\frac{5}{2}$
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determine the following limit. lim_{x ightarrowinfty}\frac{30x^{3}+3x^{…
A. $\frac{6}{7}$
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determine the following limit. lim(x→∞) (30x³ + 3x² - 3x)/(35x³ + x² + …
A. $\frac{6}{7}$
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use the properties of limits to help decide whether the limit exists. i…
A. $\lim_{x ightarrow\infty}\frac{6x}{4x - 6}=\frac{3}{2}$
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find the indicated limit. lim_{x ightarrow3}sqrt{6x - 7} select the cor…
A. $\lim_{x ightarrow3}\sqrt{6x - 7}=\sqrt{11}$
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simplify the function algebraically and find the limit. lim(x→3) (x² + …
B. The limit does not exist.
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simplify the function algebraically and find the limit lim(x→5) (x² + 2…
B. The limit does not exist
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simplify the function algebraically and find the limit lim_{x ightarrow…
$\lim_{x ightarrow5}\frac{x + 7}{x - 5}$
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the initial substitution of x = a yields the form $\frac{0}{0}$. simpli…
A. $\frac{15}{4}$
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use the theorem on limits of rational functions to find the limit. if n…
A. $\lim_{x ightarrow5}\frac{x^{2}-25}{x - 5}=10$