Calculus
Limits, derivatives, optimization, and behavior of functions.
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principles of the constitution now that you have watched a video explai…
1. Checks and Balances 2. Federalism 3. Federalism 4. Judicial Rule
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exam number: 700110rr exam guidelines exam instructions question 20 of …
C. run for a third term.
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consider the function (f(x)=\frac{x^{2}}{5x^{2}+3}). list the (x) value…
$x = 1,x=-1$
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which principle, found in americas founding documents, ensures that all…
B. Due process of law
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match the surfaces $z = f(x,y)$ with the verbal description of the leve…
1. C 2. B 3. A 4. D 5. F 6. E
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question 1-3 how does the naturalization process impact the political p…
B. It increases the diversity of perspectives and participation in elections.
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match each function with its contour plot. click on a graph to make it …
1. B 2. A 3. C 4. D
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match the functions with the graphs of their domains. 1. $f(x,y)=sqrt{x…
1. B 2. A 3. C
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3. find the linear approximation for $y = sqrt3{x}$ for $a = 125$. then…
For $\sqrt[3]{126}\approx5.013$, for $\sqrt[3]{125.50}\approx5.007$
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2. a man walks along a straight path at a speed of 5 $\frac{ft}{s}$. a …
$\frac{4}{25}$ rad/s
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1. water is being drained from a container which has the shape of an in…
$-\frac{21952}{405}\pi$ in³/s
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here is a graph of the function f. use the graph to find the following.…
All local maximum values of \(f\): \(3,1\) All values at which \(f\) has a local maximum: \(-2,3\)
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the function $f(x)=\frac{3x}{8 - \tan(x)}$ is a quotient, so well need …
$\sec^{2}(x)$
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10. - / 1 points find the limit. $lim_{x ightarrow1}\frac{sin(x - 1)}{x…
$\frac{1}{3}$
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find the limit. lim_{x ightarrow0}\frac{sin(8x)}{9x^{3}-5x}
$-\frac{8}{5}$
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find the values of x on the curve y = \\frac{\\cos(x)}{2 + \\sin(x)} at…
$x=\frac{7\pi}{6}+2n\pi,\frac{11\pi}{6}+2n\pi$
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find an equation of the tangent line to the curve at the given point. y…
$y=x-\pi - 1$
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a graphing calculator is recommended. let y = 12x sin(x). (a) find y(x)…
$y'(x)=12\sin(x)+12x\cos(x)$ $y = 12x$
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describe the relationship between the two graphs. note that f = 0 where…
Note that $f' = 0$ where $f$ has a maximum. Also note that $f'$ is negative when $f$ is decreasing and $f'$ is positive when $f$ is increasing.
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a graphing calculator is recommended. let f(x) = sec(x) - x. (a) find f…
$\sec(x)\tan(x)-1$
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differentiate. h(\\theta)=\\theta^{2}\\sin(\\theta) h(\\theta)=
$2\theta\sin(\theta)+\theta^{2}\cos(\theta)$
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at 2:00 p.m. a cars speedometer reads 30 mi/h. at 2:30 p.m. it reads 50…
First blank: $40$; Second blank: $\frac{1}{2}$; Third blank: $40$
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suppose that 3 ≤ f(x) ≤ 4 for all values of x. what are the minimum and…
$15\leq f(8)-f(3)\leq20$
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5. - / 1 points if f(4) = 9 and f(x) ≥ 3 for 4 ≤ x ≤ 9, how small can f…
\(f(9)\geq24\)
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let (f(x)=(x - 3)^{-2}). find all values of (c) in ((2,5)) such that (f…
DNE This does not contradict the Mean Value Theorem since \(f\) is not continuous at \(x = 3\).
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consider the following function. f(x)=1 - x^{2/3} find f(-1) and f(1). …
\(f(-1)=0\) \(f(1)=0\) \(c=\text{DNE}\) This does not contradict Rolle's Theorem, since \(f^\prime(0)\) does not exist, and so \(f\) is not differentiable on \((-1,1)\)
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verify that the function satisfies the three hypotheses of rolles theor…
$1$
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consider the following. f(x) = x sin(x) find the first derivative of th…
$f'(x)=\sin(x)+x\cos(x)$ $f''(x)=2\cos(x)-x\sin(x)$
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quiz 6 - requires respondus lockdown browser + webcam started: sep 27 a…
$\frac{\sqrt{3}x}{2}-\frac{\pi}{4\sqrt{3}}+\frac{1}{2}$
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consider the following. $f(x)=\frac{x}{x - 3}$ find the first derivativ…
$f'(x)=-\frac{3}{(x - 3)^{2}}$ $f''(x)=\frac{6}{(x - 3)^{3}}$
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quiz 6 - requires respondus lockdown browser + webcam started: sep 27 a…
A. $\frac{x}{6}+\frac{3}{2}$
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question 3 4 pts each side of a square is increasing at a rate of 3 cm/…
E. $18\frac{cm^{2}}{s}$
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use the quotient rule to find the derivative of the function. $g(x)=\fr…
$g^\prime(x)=\frac{x\cos(x)-7\sin(x)}{x^{8}}$
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30. le graphique suivant représente le quartier dune ville. déterminer …
9 maisons
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30. le graphique suivant représente le quartier dune ville. déterminer …
21
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gravel is being dumped from a conveyor belt at a rate of 35 ft³/min and…
$0.20$ ft/min
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use the product rule to differentiate the function. f(x) = x^5 cos(x)
$f^\prime(x)=5x^{4}\cos(x)-x^{5}\sin(x)$
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use the product rule to find the derivative of the function. h(t) = √t(…
$h'(t)=3t^{-\frac{1}{2}}-\frac{5}{2}t^{\frac{3}{2}}$
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section c : inéquations à deux variables 29. le graphique suivant repré…
7
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from beowulf translated by burton raffel anchor text | epic poetry 5. h…
The poem Beowulf, by maintaining the memory of its hero Beowulf, preserves cultural values like heroism, loyalty, and the dichotomy of good and evil which were integral to the Ang…
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given the function f(x)=4ln(x + 3), write an expression that represents…
\(\lim_{h ightarrow0}\frac{4\ln(x + h+3)-4\ln(x + 3)}{h}\)
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given the function $f(x)=e^{2x}$, determine the derivative of $f$ at $x…
$\lim_{x ightarrow5}\frac{e^{2x}-e^{10}}{x - 5}$
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given the function f(x)=x^2 + 2x, determine the slope of the tangent li…
$\lim_{h ightarrow0}\frac{(8 + h)^{2}+2(8 + h)-(8^{2}+2\times8)}{h}=\lim_{h ightarrow0}\frac{h^{2}+18h}{h}$
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given the function $f(x)=e^{x - 5}$, determine the derivative of $f$ at…
$\lim_{x ightarrow - 1}\frac{e^{x - 5}-e^{-6}}{x + 1}$
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given the function $f(x)=\frac{1}{3x}$, determine the instantaneous rat…
$-\frac{1}{75}$
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given the function $f(x)=\frac{1}{3x}$, determine the instantaneous rat…
$\lim_{h ightarrow0}\frac{\frac{1}{3(5 + h)}-\frac{1}{15}}{h}$ or $\lim_{h ightarrow0}\frac{10 - h}{45h(5 + h)}$
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given the function $f(x)=x^{5}$, write an expression that represents th…
$\lim_{h ightarrow0}\frac{(x + h)^{5}-x^{5}}{h}$
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given the function $f(x)=3ln(x + 2)$, determine the instantaneous rate …
$\lim_{h ightarrow0}\frac{3\ln(h + 7)-3\ln(7)}{h}$
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given the function $f(x)=3ln(x + 2)$, determine the instantaneous rate …
$\frac{3}{7}$
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given the function $f(x)=3ln(x - 2)$, determine the instantaneous rate …
$3\lim_{h ightarrow0}\frac{\ln(1+\frac{h}{5})}{h}$
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given the function $f(x)=2x^{5}-3x^{3}$, determine the derivative of $f…
$\lim_{h ightarrow0}\frac{2(-7 + h)^{5}-3(-7 + h)^{3}-(2(-7)^{5}-3(-7)^{3})}{h}$
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given the function $f(x)=2cos x$, determine the derivative of $f$ at $x…
$\lim_{h ightarrow0}\frac{2\cos(\frac{\pi}{3}+h)-2\cos\frac{\pi}{3}}{h}$
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given the function $f(x)=e^{x + 1}$, write an expression that represent…
$\lim_{h ightarrow0}\frac{e^{x+h + 1}-e^{x + 1}}{h}$
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question for the function $f(x)=x^{2}+11$, find the equation of the tan…
$y = 10x-14$
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for the function $f(x)=2x^{2}-11x - 2$, find the equation of the tangen…
$y=-15x - 4$
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question 2 the term adverse condition refers to any weather event that …
D. Limited visibility and/or poor traction
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question 19 of 25 what is the maximum number of relative extrema contai…
4
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let (h(x)=f(x)g(x)). if (f(x)=4x^{2}-3x) and (g(x)=ln(3x - 1)), what is…
$h^{\prime}(x)=(8x - 3)\ln(3x - 1)+\frac{12x^{2}-9x}{3x - 1}$ (corresponding to the fourth option in the multiple - choice list)
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question let h(x)=f(x)g(x). if f(x)=-2x^2 + 2x + 3 and g(x)=-x^2 - 3x -…
$-11$
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question let h(x)=f(x)g(x). if f(x)=3x^2 - x - 4 and g(x)=-x^2 + 2, wha…
-7
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the given function f(x) is defined on the interval -9, 9 and represente…
The point is a global minimum
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question suppose h(x)=f(g(x)). given the table of values below, determi…
-20
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question suppose $h(x)=f(g(x))$. given the table of values below, deter…
-40
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question let $h(x)=f(g(x))$. if $g(3)= - 4,g(3)=5,f(-4)= - 6,$ and $f(-…
20
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the given function f(x) is defined on the interval −9, 9 and represente…
\(-9\)
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question suppose $h(x)=f(g(x))$. given the table of values below, deter…
25
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question if $q(x)=ln(6x^{2}+2x + 2)$, find $q(x)$. select the correct a…
The correct answer is $\frac{12x + 2}{6x^{2}+2x + 2}$ (none of the given options are correct based on the above - derived result). If we simplify $\frac{12x + 2}{6x^{2}+2x + 2}=\f…
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question 2 of 10 what is the maximum number of possible extreme values …
B. 2
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question to the nearest tenth, what is $f(k)$ if $f(x)=0.09e^{x}ln(x)$ …
$591.5$
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inspections and certifications. after spending time working for a large…
C. exist in a wide range of sizes, earnings and regulatory obligations
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21. if a crash is unavoidable, what is a better option than colliding w…
21. C. Swerving off the road 22. B. Count backwards from 80 to 60 23. B. Low beam headlights 24. A. Maintain your speed and position 25. B. To watch for and protect pedestrians
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refer to the graph of f shown below. the xy - coordinate plane is given…
$(2,4)\cup(5,7)$
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a function is given. f(t) = 6t^2 + t; t = 3, t = 5 (a) determine the ne…
(a) 98 (b) 49
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(a) a function value f(a) is a local maximum value of f if f(a) is the …
(a) largest; \(5\); \(2\); \(4\); \(5\) (b) smallest; \(2\); \(3\)
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refer to the graph of f shown below. (a) a function value f(a) is a loc…
(a) Local maximum value: 3, \(x = 2\) (b) Local minimum value: 1, \(x = 4\)
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set up the integral to find the area of the shaded region in terms of (…
(a) $\int_{0}^{1}(e^{x}-x^{5})dx$ (b) $\int_{0}^{1}y^{\frac{1}{5}}dy+\int_{1}^{e}\ln ydy$
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evelyn was given a box of assorted chocolates for her birthday. each ni…
Equation: $C=-2t + 30$ $y$-intercept: 30 Interpretation: The initial number of chocolates in the box on Evelyn's birthday is 30.
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consider the definite integral $int\frac{f(x)}{sqrt{g(x)}}dx$ where $f(…
(a) $\sqrt{g(x)}=\sqrt{16-(x + 1)^{2}}$ (b) $-\sqrt{16-(x + 1)^{2}}-\arcsin(\frac{x + 1}{4})+C$
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question 7 evaluate ∫a²b³dx where a = sin(f(x)), b = cos(g(x)), and f(x…
$\frac{\sin^{3}(6x)}{18}-\frac{\sin^{5}(6x)}{30}+C$
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between 1900 and 1915, more than 15 million immigrants entered the us, …
**What are immigration quotas?** Immigration quotas are numerical limits set by a country on the number of immigrants who can enter from a particular region or country within a sp…
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fill in the blanks in the following sentence with the words derivative …
f is the derivative of F and F is an antiderivative of f.
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determine the following indefinite integral. int \frac{40t^{8}-7}{t}dt …
$5t^{8}-7\ln|t|+C$
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determine the following indefinite integral. check your work by differe…
$\frac{8}{9}\arctan(z)+C$
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determine the following indefinite integral. \\(\\int(-7\\sec x\\tan x …
$-7\sec x-9\tan x + C$
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determine the following indefinite integral. check your work by differe…
$\tan x + 2x+C$
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determine the following indefinite integral. int\frac{4x^{7}+6x^{5}}{x^…
$x^{4}+3x^{2}+C$
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determine the following indefinite integral int\frac{4x^{7}+6x^{5}}{x^{…
$x^{4}+3x^{2}+C$
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determine the following indefinite integral. check your work by differe…
$\frac{5}{8}r^{\frac{8}{5}}+C$
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determine the following indefinite integral. check your work by differe…
$\frac{11}{3}x^{\frac{12}{11}}+C$
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what did indias approach to limiting population growth focus on in the …
Permanent birth control through sterilization
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determine the following indefinite integral. int 5m(12m^{3}-5m)dm int 5…
$12m^{5}-\frac{25}{3}m^{3}+C$
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the government of japan has responded to its aging population by encour…
encouraging women to both work and raise children
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determine the following indefinite integral. int(7s + 4)^{2}ds int(7s +…
$\frac{49s^{3}}{3}+28s^{2}+16s + C$
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evelyn was given a box of assorted chocolates for her birthday. each ni…
Equation: $C = 30 - 2t$; $y$-intercept: $(0,30)$; Interpretation: The number of chocolates in the box at the start (on Evelyn's birthday, when $t = 0$) is 30.
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determine the following indefinite integral. check your work by differe…
$\frac{1}{3}x^{6}-\frac{1}{3}x^{15}+C$
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find all the antiderivatives for the following function f(y)=-\\frac{12…
$\frac{1}{y^{12}}+C$
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find all antiderivatives for the following function. f(x)=7 sec²x the a…
$7\tan x + C$
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find the absolute maximum and absolute minimum values of the function f…
Absolute maximum = $72$ Absolute minimum = $-\frac{139}{256}$ ### (B) Interval $[1,8]$ - $f(1)=72$. - $f(2.75)=-\frac{139}{256}$. - $f(5)=(5 - 2)(5 - 5)^3+8 = 8$. - $f(8)=(8 - 2)(…
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find all the antiderivatives of the following function. f(x)=2 sin x - …
$-2\cos x-4x + C$
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give the antiderivatives of $\frac{1}{x}$, for $x > 0$. choose the corr…
B. $\ln x + C$, where $C$ is an arbitrary constant