Calculus
Limits, derivatives, optimization, and behavior of functions.
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9. the graph of h in the figure has vertical asymptotes at x = -2 and x…
a. $\lim_{x\to - 2^{-}}h(x)=-\infty$ b. $\lim_{x\to - 2^{+}}h(x)=\infty$ c. $\lim_{x\to - 2}h(x)$ does not exist d. $\lim_{x\to 3^{-}}h(x)=\infty$ e. $\lim_{x\to 3^{+}}h(x)=-\inft…
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if (f(x)=sin x), then (lim_{x ightarrow2pi}\frac{f(2pi)-f(x)}{x - 2pi}=…
B. -1
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if (f(x)=ln x), then (lim_{x ightarrow2}\frac{f(2)-f(x)}{x - 2}) a (ln …
B. $-\frac{1}{2}$
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6 mark for review $lim_{x ightarrow0}\frac{5^{x}-1}{x}$ a 0 b $ln 5$ c …
B. $\ln 5$
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let f be the function given by f(x)=3 sin x + 8e^x. what is the value o…
D. 11
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if (f(x)=sin x), then (lim_{x ightarrow2pi}\frac{f(2pi)-f(x)}{x - 2pi}=…
B. -1
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3 mark for review $lim_{x ightarrow0}\frac{2^{x}-1}{x}=$ a 0 b $ln 2$ c…
B. $\ln 2$
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if (f(x)=ln x), then (lim_{x ightarrow2}\frac{f(2)-f(x)}{x - 2}=) a (-l…
B. \(-\frac{1}{2}\)
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the function f in the given figure satisfies lim x→2 f(x)=6. for each v…
(a) When $\epsilon = 2$, $\delta = 1$. (b) When $\epsilon = 1$, $\delta=\frac{1}{2}$. (c) Conjecture: $\delta=\frac{\epsilon}{2}$ for any $\epsilon>0$.
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the function f in the given figure satisfies lim(x→2) f(x)=6. for each …
(a) $\delta\leq1$ (b) $\delta\leq\frac{1}{2}$ (c) $\delta=\frac{\epsilon}{2}$
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for full credit, please show all steps clearly. find the derivatives of…
a) $f^\prime(x)=(2x - 3)\cos(x^{2}-3x + 4)$ b) $y^\prime=3\tan^{2}(x)\sec^{2}(x)$ c) $f^\prime(x)=-4(2x - 3)\cos^{3}(x^{2}-3x + 5)\sin(x^{2}-3x + 5)$ d) $y^\prime=(2x - 3)\cos^{4}…
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8. the graph of g in the figure has vertical asymptotes at x = 2 and x …
a. $\lim_{x\to2^{-}}g(x)=\infty$ b. $\lim_{x\to2^{+}}g(x)=\infty$ c. $\lim_{x\to2}g(x)=\infty$ d. $\lim_{x\to4^{-}}g(x)=-\infty$ e. $\lim_{x\to4^{+}}g(x)=\infty$ f. $\lim_{x\to4}g…
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assignment 2: problem 1 (1 point) rewrite the following expressions usi…
For first: $a = 2$, $b = 1$; For second: $a = 2$, $b = 1$
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7. the graph of f in the figure has vertical asymptotes at x = 1 and x …
a. $\lim_{x\to1^{-}}f(x)=+\infty$ b. $\lim_{x\to1^{+}}f(x)=-\infty$ c. $\lim_{x\to1}f(x)$ does not exist d. $\lim_{x\to2^{-}}f(x)=-\infty$ e. $\lim_{x\to2^{+}}f(x)=+\infty$ f. $\l…
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on the second day, there are a few negative comments on your post and i…
Create time limits for online activities.
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the function y = f(x) is graphed below. what is the average rate of cha…
6
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7 multiple choice 1 point a production possibilities curve indicates th…
7. B. maximum combinations of goods and services an economy can produce given its available resources and technology. 8. D. the limitations that exist because of scarce resources.…
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1 multiple choice 1 point which of the following is not one of the thre…
1. B. what to produce with unlimited resources 2. A. land, labor, capital, and entrepreneurship. 3. C. choices must be made about how resources are used.
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quick write: what free speech rights do americans have? is it ever limi…
Americans have freedom - of - speech rights protected by the First Amendment. It is limited in cases like incitement to violence, defamation, obscenity, fighting words, and true t…
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use a change of variables or the table to evaluate the following defini…
$\frac{e - 1}{3}$
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if the change of variables $u = x^{2}+5$ is used to evaluate the defini…
The lower limit is 30 and the upper limit is 86.
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if the change of variables $u = x^{2}+5$ is used to evaluate the defini…
The new lower - limit is 14 and the new upper - limit is 86.
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for 0° ≤ x < 360°, what are the solutions to cos(\\frac{x}{2}) - sin(x)…
C. $\{60^{\circ}, 180^{\circ}, 300^{\circ}\}$
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which is equivalent to $sin^{-1}left(\tanleft(\frac{pi}{4} ight) ight)$…
A. 0
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\\(\\int\\frac{(\\sqrt{x}+2)^{2}}{2\\sqrt{x}}dx\\)
$\frac{1}{3}x^{\frac{3}{2}}+2x + 4x^{\frac{1}{2}}+C$
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question 20 of 20 populists argued that services such as telephone and …
C. Should be made affordable to everyone.
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question 19 of 20 what was a progressive goal? a. expanding u.s. territ…
C. Reforming city governments
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$int\frac{(sqrt{x}+2)^{2}}{2sqrt{x}}dx$
$\frac{1}{3}x^{\frac{3}{2}}+2x + 4\sqrt{x}+C$
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which type of fallacy occurs when an argument presents limited choices …
D. Black & White (False Dilemma)
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the function y = f(x) is graphed below. plot a line segment connecting …
The average rate of change of the function $f(x)$ on the interval $1<x<8$ is $\frac{f(8)-f(1)}{7}$ (where $f(1)$ and $f(8)$ are the $y -$ values of the function at $x = 1$ and $x …
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consider the graph of the function $f(x)=\frac{x^{3}-x^{2}-2x}{x^{2}+x}…
$x=-1$, $x = 0$
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the figure below shows the graph of a function over the closed interval…
(a) A. $-1\leq x<0,0 < x\leq2$ (b) C. $x = 0$
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question consider the graph of the function $f(x)=\frac{x^{3}-6x^{2}+8x…
No correct options provided in the given list. A removable - discontinuity is at $x = 4$ which is not in the list of $x=-4,x=-2,x = 0,x = 2$.
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the derivative as a function question completed: 3 of 6 | my score: 3/6…
\(\frac{\sqrt{5}}{2\sqrt{x}}\)
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the derivative as a function question completed: 0 of 6 | my score: 0/6…
\(-\frac{3}{(x + 10)^2}\)
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5. what did thomas jefferson accuse king george of in the declaration o…
5. Thomas Jefferson accused King George III of numerous grievances like obstructing justice, imposing taxes without consent etc. Reason: To justify colonial independence due to ri…
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find the slope of the functions graph at the given point. then find an …
The slope $m = 10$. The equation of the tangent line is $y=10x - 24$.
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find the slope of the following curve at x = 6. y = \\frac{1}{x - 2} th…
$-\frac{1}{16}$
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find an equation for the tangent line to the curve at the given point. …
$y=x + 16$
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$\\int\frac{4x^{2}}{sqrt{3 - 16x^{3}}}dx=\\square$
$-\frac{1}{6}\sqrt{3 - 16x^{3}}+C$
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$int x^{10}e^{x^{11}}mathrm{d}x=square$
$\frac{1}{11}e^{x^{11}}+C$
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$int x^{5}(x^{6}-14)^{3}dx=square$
$\frac{(x^{6}-14)^{4}}{24}+C$
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$int (x^{5}+x^{3})^{11}(5x^{4}+3x^{2})mathrm{d}x=square$
$\frac{(x^{5}+x^{3})^{12}}{12}+C$
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$int(4x^{3}+9)sqrt{x^{4}+9x}dx$
$\frac{2}{3}(x^{4}+9x)^{\frac{3}{2}}+C$
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john was a science fiction fan. he could not find enough to read about …
A. beings existing outside the earth's limits
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$\\int 18x\\cos(9x^{2}+4)dx = \\square$
$\sin(9x^{2}+4)+C$
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$\\int 4x^{3}(x^{4}+4)^{9}dx = \\square$
$\frac{(x^{4}+4)^{10}}{10}+C$
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now that the campaign has been a success, you and nina are discussing h…
Incorporating diverse perspectives and balancing immediate and long - term needs
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it is a fact that the function f(x)=(\\frac{x + 3}{x})^x has a limiting…
$20.09$
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it is a fact that the function (f(x)=\frac{5 + x^{2}}{5+4x^{2}}) has a …
0.25
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question 4 of 10 this could be the graph of: a. $ln(x + 3)$ b. $ln(x - …
B. $\ln(x - 3)+4$
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it is a fact that the function f(x) = (9x - 2)/(x + 2) has a limiting v…
9.00
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fix the one plural or possessive error. many students ability to pay fo…
Many students' ability to pay for college is limited. However, universities' financial aid packages can help offset some of the necessary expenses.
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you can continue in: 00:00:00 driving activities where awareness and kn…
B. All of the above
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evaluate the limit lim_{x→∞} (3x^3 - 9x^2 - 3x)/(9 - 7x - 7x^3) questio…
$-\frac{3}{7}$
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paragraph #3 the first amendment also protects our freedom to speak. th…
For Paragraph #3: The First - Amendment protects freedom of speech with some limits. For Paragraph #4: The First - Amendment protects the freedom of assembly. For Paragraph #5: Th…
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other forms of government 1. authoritarian regime 2. autocracy 3. theoc…
1. D 2. D 3. A 4. C 5. B 6. D 7. F
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forms of government 1. parliamentary democracy 2. presidential democrac…
1. E 2. D 3. F 4. C 5. A 6. B For other forms: 1. E 2. D 3. A 4. C 5. B 6. (No match) 7. F
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determine the intervals on which the function is increasing, decreasing…
(Assuming the graph starts increasing from $x = a$ to $x = b$) $(a,b)$ (You need to determine the actual values of $a$ and $b$ from the graph. For example, if it starts increasing…
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plagiarism is unethical because it implies that _______ a all of the so…
C. the work that one has plagiarized is an original creation
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what is the rate of change of the average rates of change for each func…
9. $0$ 10. $2$ 11. $-4$
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evaluate the following limits. (a) $lim_{x ightarrowinfty}\frac{4}{e^{x…
(a) 0 (b) 1
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4. indique si lénoncé améliore lestime de soi (e) ou la confiance en so…
4. a) C b) E c) C d) E e) E f) C 5. a) Le temps, les catastrophes naturelles b) Ses actions quotidiennes, ses choix alimentaires 6. décisions, valeurs, choix, responsabilité, acti…
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man was born free, and everywhere he is in chains. do you agree with th…
1. Respuesta a la primera cita: Puedo estar de acuerdo en el sentido de que, aunque nacemos con la capacidad de libertad, las estructuras sociales y políticas nos limitan. 2. Resp…
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5. determine si chaque affirmation est vraie ou fausse. si elle est fau…
5. a) FAUX. L'autonomie n'est pas synonymie de tout faire seul. b) VRAI. c) VRAI. d) VRAI. 6. a) Dépendante b) Autonome c) Semi - autonome 7. a) affective b) physique c) financièr…
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what are some of the perks of having a good credit score? you can get u…
You can secure loans with better terms.
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if possible, choose k so that the following function is continuous on a…
$768$
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find k so that the following function is continuous. f(x)=\begin{cases}…
\(2\)
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find k so that the following function is continuous. f(x)=\begin{cases}…
$320$
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let $f(x)$ be defined as follows. $f(x)=\frac{x^{2}-1}{x^{2}-6x + 5}$ g…
$(-\infty,1)\cup(1,5)\cup(5,\infty)$
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a function (f) and value (a) are given below.(f(x)=\frac{2}{x + 9}), (a…
a. \(-0.010\) b. \(-0.010\) c. \(-0.010\) d. \(-0.010\)
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find the slope of the graph of the function g(x) = \\frac{7x}{x - 3} at…
The slope of the graph of the function $g(x)=\frac{7x}{x - 3}$ at $(6,14)$ is $-\frac{7}{3}$. The equation for the line tangent to $g(x)=\frac{7x}{x - 3}$ at $(6,14)$ is $y=-\frac…
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let (f(x)) be defined as follows. (f(x)=\frac{6x - 6}{x^{4}-12x^{3}+36x…
a. Value: $x = 0$ $\lim_{x\to0^{-}}f(x)=-\infty$ $\lim_{x\to0^{+}}f(x)=-\infty$ b. Value: $x = 6$ $\lim_{x\to6^{-}}f(x)=+\infty$ $\lim_{x\to6^{+}}f(x)=+\infty$ c. Value: $x =$ DNE…
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storing them in different folders. you realize that if you dont review …
To organize resources to make it easier to pull needed information
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read the passage. the rise of ai - generated imagery and deepfake techn…
While AI technology offers creative possibilities, protecting actors' control over their likenesses is essential to preserving their ethical rights.
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you notice more distractions. youre finding that certain apps/websites …
C. A tool that effectively helps in managing tasks and notifications together
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select all the intervals where f is decreasing. y = f(x) choose all ans…
C. $1.75 < x < 5$
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16. use the graphs to evaluate each quantity below. give an exact answe…
d. 3 e. 3 f. DNE
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use the graphs to evaluate each quantity below. give an exact answer if…
a. 3 b. 1 c. DNE
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if your identity has been compromised, you should change your account _…
B. Passwords
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use the graphs to evaluate each quantity below. give an exact answer if…
# Explanation: ## Step1: Analyze left - hand limit at $x = 1$ Look at the graphs of $f(x)$ and $g(x)$ as $x\to1^{-}$. Find the values that $f(x)$ and $g(x)$ approach and add them.…
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2. find the derivative of $y = \\frac{x^{8}+1}{x}$. $\\frac{dy}{dx}=$
$7x^{6}-\frac{1}{x^{2}}$
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score on last try: 0 of 10 pts. see details for more. > next question g…
B
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during the gilded age, working women had limited work opportunities but…
limited work opportunities and were paid less than men.
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determine all intervals on which the graph of f is decreasing.
\((-8, - 5)\), \((0,3)\), \((6,9)\)
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use the graph to determine (a) open intervals on which the function is …
A. The function is decreasing on the interval(s) $(2,3),(4,\infty)$
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an educational psychologist is studying two methods of tutoring young c…
Lower limit: $-13.17$ Upper limit: $-0.83$
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average annual sales per worker of a firm is influenced by the number o…
(a) $S'(t)=\frac{60000}{t}$ (b) $S'(40)=1500.00$
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attempt 1: 10 attempts remaining. the value of a laptop $l(t)$, in doll…
a. $2195.08$ b. $1.48$ (the negative sign just indicates decrease, we take the absolute - value for the rate of decrease)
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attempt 1: 10 attempts remaining. the productivity score $p(t)$ of empl…
a) $P'(t)=\frac{19}{t}$ b) $P'(5)=3.80$
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if an initial amount of $1700 is invested in an account at an annual in…
The total amount in the account is changing by $\$55.36$ after 4 years.
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find the critical points of the function (f(x)=x - 8ln(x)), for (x>0). …
All critical point(s) at $x = 8$ $f$ attains a relative minimum at $x = 8$ $f$ attains a relative maximum at $x=$ DNE
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the value of a car after it is sold decreases according to the function…
a. 37962 b. decreasing; 38
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hw_2.3_exponential and logarithmic rule due sunday by 11:59pm points 10…
$3e^x - 9$
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consider the function g(x)=(x - 4)^(2/3). a. find the critical points o…
a. \(4\) b. Absolute minimum: \(0\), Absolute maximum: \(4\)
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let ( f(x)=2x^{3}-12x^{2}-30x - 6) be defined on (-6,6). find: a. the a…
a. \((-1,10)\) b. \((-6,-700)\)
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attempt 1: 10 attempts remaining. use the rules of derivatives to calcu…
$3e^x-9$
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hw_2.1_basic derivative rules due sep 14, 2025 11:59 pm. 12. submit ans…
$G'(x)=\frac{1}{2\sqrt{x}}+9e^x$
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hw_2.1_basic derivative rules due sep 14, 2025 11:59 pm. 11. if $f(t)=6…
$24t^3-4 + 4e^t$
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find the exact location of all the relative and absolute extrema of the…
Smallest $x$ - value: $(-1,e^{-1}+1.9)$ Largest $x$ - value: $(1,e - 1.9)$