Calculus
Limits, derivatives, optimization, and behavior of functions.
-
question 1 of 10 which of the following terms completes the sentence be…
D. zeros; vertical
-
5–22 find the local maximum and minimum values and saddle point(s) of t…
Let's solve problem 5[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
-
vocabulary check: select the option that best identifies the use of the…
d. Having exceeded the limits of; violated. ### Question 2
-
let f(u) = u⁴ and g(x) = u = 3x⁴ + 1. find (f ∘ g)(1). (f ∘ g)(1) = (ty…
\(3072\)
-
find an equation for the tangent line to the graph of ( y = left(x^3 - …
\( y = 0 \)
-
find $\frac{dy}{dt}$ for each pair of functions. $y = x^2 - 4x$, $x = t…
\( 4t^3 + 16t \)
-
find \\(\\frac{dy}{du}\\), \\(\\frac{du}{dx}\\), and \\(\\frac{dy}{dx}\…
$55(2x^{3}-4x^{2})^{54}(6x^{2}-8x)$ (or factored further as $110x(3x - 4)(2x^{3}-4x^{2})^{54}$ or other factored forms, but the first form is also correct)
-
find \\(\\frac{dy}{du}\\), \\(\\frac{du}{dx}\\), and \\(\\frac{dy}{dx}\…
\( 6x^2 - 8x \)
-
find $\frac{dy}{du}$, $\frac{du}{dx}$, and $\frac{dy}{dx}$. $y = u^{55}…
\( 55u^{54} \)
-
differentiate the given function. $y = x^2 \\sqrt{4x - 1}$ $y = \\squar…
\(\dfrac{2x(5x - 1)}{\sqrt{4x - 1}}\)
-
differentiate the given function. $y = x\\left(x^4 + 6\ ight)^3$ $dfrac…
\( (x^4 + 6)^2(13x^4 + 6) \)
-
differentiate the function. y = \\frac{1}{(7x - 9)^2} \\frac{dy}{dx} = …
\( -\dfrac{14}{(7x - 9)^3} \)
-
differentiate the function. $y = \\left(4x^2 - 14\ ight)^{-12}$ $\\dfra…
\( -96x(4x^2 - 14)^{-13} \) (or equivalent form \( \frac{-96x}{(4x^2 - 14)^{13}} \))
-
differentiate the function. ( y = (11 - x)^{77} ) ( \frac{dy}{dx} = squ…
\( -77(11 - x)^{76} \)
-
in a certain state the maximum speed permitted on freeways is 65 mi/h, …
\(F(x)=\begin{cases}25(40 - x),&0 < x < 40\\0,&40\leq x\leq65\\25(x - 65),&x>65\end{cases}\)
-
in a certain state the maximum speed permitted on freeways is 65 mi/h, …
\[F(x)=\begin{cases}25x - 1500, &\text{if }x>65\\0, &\text{if }40\leq x\leq65\\25x - 1500, &\text{if }0 < x < 40\end{cases}\]
-
ling must spend no more than $40.00 on decorations for a party. she has…
She can buy from 0 to 12 bags, but no more.
-
evaluate the following limits. if needed, enter oo for $infty$ and -oo …
$\lim_{x\to4^{+}}\frac{2x}{(x - 4)^{4}}=\infty$ $\lim_{x\to4^{-}}\frac{2x}{(x - 4)^{4}}=\infty$ $\lim_{x\to4}\frac{2x}{(x - 4)^{4}}=\infty$
-
question find the derivative of $h(x)=(2 - 3x^{2})^{3}sqrt{2x^{2}+2}$. …
$\frac{2x(2 - 3x^{2})^{2}(-21x^{2}-16)}{\sqrt{2x^{2}+2}}$
-
evaluate the following integral using the fundamental theorem of calcul…
$-9\pi$
-
question find the derivative of (h(x)=(3x^{2}+3)^{2}sqrt{x^{2}+2}). pro…
$\frac{3x(3x^{2}+3)(5x^{2}+9)}{\sqrt{x^{2}+2}}$
-
question find the derivative of h(x)=(3x^2 + 1)^2√(x^3+1). provide your…
\(\frac{x(3x^{2}+1)(15x^{2}+13)}{\sqrt{x^{2}+1}}\)
-
question given the table of values below, find h(3) if h(x)=g(x)·f(x).
$-30$
-
question find the derivative of (h(x)=(3 - 2x^{2})^{3}sqrt{2x^{2}+1}). …
\(-\frac{2x(3 - 2x^{2})^{2}(14x^{2}+3)}{\sqrt{2x^{2}+1}}\)
-
question find the derivative of h(x)=2cos^12(x). provide your answer be…
$-24\sin(x)\cos^{11}(x)$
-
question find the derivative of $h(x)= - 3cos^{12}(x)$. provide your an…
$36\sin(x)\cos^{11}(x)$
-
question find $\frac{dy}{dx}$ if $y = (-5x^{4}-4)^{3}$. provide your an…
$-60x^{3}(-5x^{4}-4)^{2}$
-
question 5. version 1*/1. score: 0/3 let $f(x)=\begin{cases}10 - x - x^…
$\lim_{x ightarrow2}f(x)=$ DNE $\lim_{x ightarrow2^{-}}f(x)=4$ $\lim_{x ightarrow2^{+}}f(x)=1$
-
question find $\frac{dy}{dx}$ if $y=(2x^{4}+1)^{-5}$. provide your answ…
$-40x^{3}(2x^{4}+1)^{-6}$
-
question given y = f(u) and u = g(x), find \\(\\frac{dy}{dx}\\) by usin…
$4860x^{11}$
-
question given (y = f(u)) and (u = g(x)), find (\frac{dy}{dx}) by using…
$810x$
-
question find $\frac{dy}{dx}$ if $y = (-3x^{5}-3)^{3}$. provide your an…
\(-\frac{1}{45x^{4}(-3x^{5}-3)^{2}}\)
-
question given the following table of values, find h(-1) if h(x)=(x^4 +…
$-3$
-
question find $\frac{dy}{dx}$ if $y = (-2x^{3}-4)^{-4}$. provide your a…
$\frac{24x^{2}}{(-2x^{3}-4)^{5}}$
-
his habits. you and mario decide to support each other and set screen t…
C. Use an app to track and limit your screen time for specific activities, such as social media and gaming.
-
sharp claws. but, to the lions surprise, he could make no impression on…
By showing how the Lion openly acknowledges his fears, the text suggests that displays of toughness can mask insecurity.
-
or go to a movie. youre concerned about how much time mario spends onli…
" It may lead to physical discomfort like eye strain and poor posture, as well as mental fatigue."
-
question find $\frac{dy}{dx}$ if $y = sqrt{1 - 3x^{2}}$. provide your a…
$\frac{-3x}{\sqrt{1 - 3x^{2}}}$
-
based on what youve learned about your habits and how they make you fee…
D. Set specific time limits for social media and online browsing, and schedule regular breaks.
-
question find the derivative of $h(x)=left(\frac{x}{2 - 2x} ight)^2$. p…
$\frac{x}{2(1 - x)^{3}}$
-
question find the derivative of h(x)=(2 - 2x)^2(3x + 1)^2. provide your…
$4(1 - x)(3x + 1)(4 - 12x)$
-
question find the derivative of $h(x)=-sin(2x^{4}-3)$. provide your ans…
$-8x^{3}\cos(2x^{4}-3)$
-
during your search for sneakers for nellie, you stumble across a new sh…
B. Review the app's privacy settings and grant only the permissions necessary for the app's function.
-
question find the derivative of $h(x)=2cos^{14}(x)$. provide your answe…
$-28\cos^{13}(x)\sin(x)$
-
the graph of f is shown in the figure. let $a(x)=int_{-2}^{x}f(t)dt$ an…
a. $A(-2)=0$ b. $F(8)=9$ c. $A(4)=25$ d. $F(4)=0$ e. $A(8)=34$
-
mario and you want to get nellie a pair of sneakers as a gift. all thre…
The website might sell your personal information to third - party advertisers.
-
question. given (y = f(u)) and (u = g(x)), find (\frac{dy}{dx}) by usin…
$\frac{16}{3}\sqrt[3]{x}$
-
decompose the function y = √(2x³ - 4) in the form y = f(u) and u = g(x)…
1. $y=\sqrt{u}$ 2. $u = 2x^{3}-4$
-
find the equation of the line tangent to the graph of (f(x)=3csc(x)-2sq…
1
-
question find $\frac{d^{15}}{dx^{15}}(- 5sin(x)+13cos(x))$. provide you…
$5\cos(x)+13\sin(x)$
-
question find $\frac{d^{44}y}{dx^{44}}$ of $y = - 10sin(x)-8cos(x)$. pr…
$-10\sin(x)-8\cos(x)$
-
current objective find the derivative of other trigonometric functions …
$2\csc(x)\cot(x)-4\csc^{2}(x)$
-
you and faye talk about how ensuring privacy is good, but theres only s…
- Instructions on how to communicate with one another respectfully - The expectation that all are welcome, regardless of differences - Links to resources about technological use t…
-
late - night usage. you recognize that maintaining a healthy digital ro…
D. Regularly review your privacy settings, set screen - time limits, and take breaks from social media when needed.
-
youve noticed that ads on your social media match your recent searches …
Adjust privacy settings to limit data tracking, disable personalized ads, and clear browsing history regularly.
-
despite setting limits, you sometimes find yourself browsing the platfo…
Plan offline activities like walking, reading, or spending time with family to balance screen time.
-
question find the derivative of $f(x)=-2cot(x)+6x^{4}csc(x)$. provide y…
$2\csc^{2}(x)+24x^{3}\csc(x)-6x^{4}\csc(x)\cot(x)$
-
youve decided to take control of your social media usage by setting bou…
B. Use a time - management app to set daily limits for social media usage and stick to a schedule.
-
youre setting up your profile on the platform for the first time. the p…
Set your profile to private, limit shared information, and review privacy settings regularly.
-
find the derivative of a sine or cosine function question find $f(x)$ w…
$-\frac{24}{5}x^{3}\cos(x)+\frac{6}{5}x^{4}\sin(x)$
-
current objective find the derivative of a sine or cosine function ques…
$-7\cos(x)+7x\sin(x)$
-
question find f(x) where f(x) = 1/3x + 3cos(x). provide your answer bel…
$\frac{1}{3}-3\sin(x)$
-
question 1. version 1*/1. score: 0/4 consider $f(x)=(1 + x)^{\frac{-2}{…
|$x$|$f(x)$|$x$|$f(x)$| |----|----|----|----| |$-0.01$|$0.13406$|$0.01$|$0.13262$| |$-0.001$|$0.13520$|$0.001$|$0.13440$| |$-0.0001$|$0.13534$|$0.0001$|$0.13454$| $\lim_{x ightarr…
-
as your responsibilities increase, balancing your online coursework and…
D. A tool that effectively helps in managing tasks and notifications together
-
question 18 which of the following best describes the basic aim of the …
Question 18: to impose limits on the reach of federal power Question 19: Americans of all political stripes widely believe in both of them.
-
question find the equation of the line tangent to the graph of $f(x)=-3…
$y=-2x-\frac{2\pi}{3}-3 + 2\sqrt{3}$
-
fill in the boxes below for the new england colonies
Political: Town - meeting self - government, Puritan influence. Economic: Fishing, shipbuilding, trade; limited agriculture. Geographic: Rocky soil, cold climate, long coastlines,…
-
question find the equation of the line tangent to the graph of $f(x)=3\…
$y=-3x-3\pi + 2$
-
question find the equation of the line tangent to the graph of f(x)=3si…
# Explanation: ## Step1: Find the derivative of[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On …
-
question find the derivative of (f(x)= - 6\tan(x)+x^{2}). provide your …
$-6\sec^{2}(x)+2x$
-
question find the derivative of $f(x)=7csc(x)+\frac{1}{x}$. provide you…
$-7\csc(x)\cot(x)-\frac{1}{x^{2}}$
-
question find $\frac{d^{74}}{dx^{74}}(-15cos(x))$. provide your answer …
$15\cos(x)$
-
question find the 82nd derivative of f(x) = sin(x). select the correct …
$-\sin(x)$
-
suppose that $r = 2$, $t=-3$, $u = 0$, and $w=-6$. evaluate each of the…
b. 12 c. 7.75
-
find the average rate of change of k(x) = 2x^5 over the interval -2, -1…
62
-
the use of ballot initiatives most empowers which group of people to af…
- Question 1: the people - Question 2: contact their constituents using various forms of media
-
question find $f(x)$ where $f(x)=-\frac{1}{2}x^{3}cos(x)$. provide your…
$-\frac{3}{2}x^{2}\cos(x)+\frac{1}{2}x^{3}\sin(x)$
-
calculate the derivative of $h(x)=2sin x + 3cos x$. select the correct …
$2\cos x - 3\sin x$ (corresponding to the last option)
-
find the average rate of change of k(x) = -19\\sqrt{x}+19 over the inte…
$-3.4$
-
question: a particle travels along a horizontal line according to the f…
$12$ feet per second squared
-
question a particle travels along a horizontal line according to the fu…
$a(t)=12t^{2}-48t - 18$
-
question find $\frac{d}{dx}(-4x^{4/3}-2x^{-3/4}+3)$. provide your answe…
$-\frac{16}{3}x^{\frac{1}{3}}+\frac{3}{2}x^{-\frac{7}{4}}$
-
question find $\frac{d}{dx}(sqrt{49x^{-9}})$. provide your answer below…
$-\frac{63}{2}x^{-\frac{11}{2}}$
-
question find $\frac{d}{dx}(-x^{3}-5x^{-1}+3)$. provide your answer bel…
$-3x^{2}+\frac{5}{x^{2}}$
-
question find $\frac{d}{dx}(-4x^{4}-x^{-2}-5)$. provide your answer bel…
$-16x^{3}+\frac{2}{x^{3}}$
-
question find $\frac{d}{dx}(-5x^{4/3}-2x^{-5/4}-4)$ provide your answer…
$-\frac{20}{3}x^{\frac{1}{3}}+\frac{5}{2}x^{-\frac{9}{4}}$
-
question find $\frac{d}{dx}(-3x - 3x^{1/6}+1)$. provide your answer bel…
$-3-\frac{1}{2}x^{-\frac{5}{6}}$
-
question find $\frac{d}{dx}(4x - 2x^{-3}+1)$. provide your answer below…
$4 + 6x^{-4}$
-
question find $\frac{d}{dx}(-2x^{3}-x^{-1}-1)$. provide your answer bel…
$-6x^{2}+\frac{1}{x^{2}}$
-
in early october of 1871, wildfires raged for three days across the upp…
To limit future fire damage, the city ordered the use of more fireproof building materials after the Great Chicago Fire.
-
1. given (f(x)=\begin{cases}-x^{2}+1, & \text{if }x < 2\\1 - 2x, & \tex…
Yes, because $\lim_{x ightarrow2^{-}}f(x)=\lim_{x ightarrow2^{+}}f(x)=f(2)=-3$
-
2. find the limit, if it exists. $lim_{x ightarrow4}\frac{x - 4}{x^{2}-…
$\frac{1}{6}$
-
which word best completes the sentence? some scholars suggest that, whi…
omniscient
-
use part i of the fundamental theorem of calculus to find the derivativ…
$4((4x)^{2}+4)e^{4x - 2}$
-
if $sqrt{7 - 6x^{2}}leq f(x)leqsqrt{7 - x^{2}}$ for $- 1leq xleq1$, fin…
$\sqrt{7}$
-
think about what you know about competitions, monopolies, and trusts. w…
The statements about competition being good for the economy and the government having the right to regulate business to prevent monopolistic behavior are valid. Business reform ma…
-
find the limit. lim_{x ightarrow0}\frac{\frac{1}{x - 1}+\frac{1}{x + 1}…
$-\frac{1}{2}$
-
find the limit. lim(f→4) (1/f - 1/4)/(f - 4)
$-\frac{1}{16}$
-
math 151 calculus i quiz 1 name: key note: show all your work to earn f…
(a) - 13 (b) 9 (c) - 3
-
evaluate the definite integral below. int_{8}^{11} \frac{6}{x} dx enter…
$6\ln\frac{11}{8}\approx1.97$