微积分
极限、导数、最优化与函数性质。
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if (f(x)=e^{x}sin x), then (f(x)=) a (e^{x}cos x) b (-e^{x}cos x) c (e^…
C. $e^{x}(\sin x+\cos x)$
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multiple choice question the term ______ refers to a form of government…
B. separation of powers
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read the excerpt from act 3 of a dolls - house. nora: in all these eigh…
The conflict between Nora and Helmer shows how gender roles were defined, as Helmer has complete control over everything, including what the couple discusses.
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read the excerpt from act 1 of a dolls house. mrs. linde: yes, but your…
B. As a woman, Nora cannot borrow money, but she does so behind her husband's back in order to save him.
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find the domain and range of the following function. (enter your answe …
domain: $[-\frac{7}{3},-\frac{5}{3}]$, range: $[-\frac{\pi}{2},\frac{\pi}{2}]$
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the accompanying figure shows the velocity v = ds/dt = f(t) (m/sec) of …
a. \(t = 2,4\) b. \(5\leq t\leq8\) c. Graph speed by plotting \(|v|\) values as described above for \(0\leq t\leq10\). d. Graph acceleration by plotting the values calculated abov…
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the accompanying figure shows the velocity v = $\frac{ds}{dt}$ = f(t) (…
a. \(t = 2,4\) b. \(t\in[0,1]\cup[4,6]\cup[6,8]\) c. Graph speed by taking absolute - value of \(v(t)\) values for each \(t\) in \([0,10]\). d. Graph acceleration by finding the s…
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grade 7 · unit 2 · selection test \dark they were, and golden - eyed\ b…
c. Though people often fear and resist it, change is unavoidable in the end.
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the graph of the following function has one relative maximum point and …
The relative maximum is $(-3,28)$ The relative minimum is $(1,-4)$
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the accompanying figure shows the velocity v = \\frac{ds}{dt}=f(t) (m/s…
a. \(t = 5\) b. \(1\leq t\leq4,7\leq t\leq10\) c. (Graphing requires a visual medium. Sketch a graph where speed is non - negative, increasing from \(0\) to a positive value on \(…
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if f(x)=x + sin x, then f(x) = a 1 + cos x b 1 - cos x c cos x d sin x …
A. $1+\cos x$
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the accompanying figure shows the velocity v = ds/dt = f(t) (m/sec) of …
a. The body reverses direction at \(t = 2\) s and \(t = 7\) s. b. It is moving at a constant speed on the intervals \([0,1]\), \([3,4]\), \([5,6]\), \([7,8]\) and \([9,10]\). c. (…
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find the average rate of change between the x = 0 and x = 7.
$-17$
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the accompanying figure shows the velocity v = \\frac{ds}{dt}=f(t) (m/s…
a. $t = 2,4$ b. $4\leq t\leq8$ c. Graph speed by taking the absolute - value of the velocity values at each $t$ in the interval $0\leq t\leq10$. d. Graph acceleration by finding t…
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the volume v = \\frac{4}{3}\\pi r^{3} of a spherical balloon changes wi…
56.55
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topic 4 lesson 3: practice level 2 1. what is a relative minimum? 2. wh…
1. A point where the function value is less than or equal to nearby points. 2. A point where the function value is greater than or equal to nearby points. 3. increasing 4. decreas…
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the volume v = \\frac{4}{3}\\pi r^{3} of a spherical balloon changes wi…
33.93
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the volume $v = \\frac{4}{3}\\pi r^{3}$ of a spherical balloon changes …
a. $36\pi$ b. $10.8\pi$
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the volume v = \\frac{4}{3}\\pi r^{3} of a spherical balloon changes wi…
a. $484\pi$ $\text{in}^3/\text{in}$ b. $151.97$ $\text{in}^3$
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describe the end - behavior of the polynomial function using $lim_{x ig…
D. $\lim_{x\to\infty}f(x)=\infty$ and $\lim_{x\to-\infty}f(x)=-\infty$ because the order of the polynomial, $n = 3$, is odd and the leading coefficient, $1$, is greater than $0$.
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the volume v = \\frac{4}{3}\\pi r^{3} of a spherical balloon changes wi…
a. $484\pi$ b. $48.4\pi$
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a body moves on a coordinate line such that it has a position s = f(t)=…
a. Displacement: 9 m; Average velocity: 1 m/s b. Speeds at endpoints: 8 m/s, 10 m/s; Accelerations at endpoints: 2 m/s², 2 m/s² c. A. The body changes direction at $t = 4$ s.
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describe the end - behavior of the polynomial function using $lim_{x ig…
B. \(\lim_{x ightarrow\infty}f(x)=\infty\) and \(\lim_{x ightarrow-\infty}f(x)=-\infty\) because the order of the polynomial, \(n = 3\), is odd and the leading coefficient, \(1\),…
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if $y = xsin x$, then $\frac{dy}{dx}=$ (a) $sin x+cos x$ (b) $sin x + x…
B. $\sin x + x\cos x$
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a body moves on a coordinate line such that it has a position s = f(t)=…
1
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a body moves on a coordinate line such that it has a position s = f(t)=…
$9$
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graph the function in a viewing window that shows all of its extrema an…
We need the actual graphs to choose from, but based on the end - behavior \(\lim_{x ightarrow\pm\infty}f(x)=+\infty\), we look for a graph that goes up on both the left - hand sid…
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graph the function in a viewing - window that shows all of its extrema …
A. $[-5,5]$ by $[-200,200]$, $\infty$
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for the function $f(x)=2x^{2}-5x - 8$, find the slope of the secant lin…
11
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graph the function in a viewing window that shows all of its extrema an…
A. \([-5,5]\) by \([-200,200]\) \(\lim_{x ightarrow\infty}f(x)=+\infty\)
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11. why is it important to know where a function increases or decreases…
It helps in prediction, optimization, and decision - making. For example, a candle - selling business's profit function behavior with respect to production quantity.
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use the intermediate value theorem to show that f has a zero between a …
\(f(a)=-3\), \(f(b)=3\), since \(f(a)<0\) and \(f(b)>0\)
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10. give an example of a function that is increasing on one interval an…
The function $y = x^{2}$ is decreasing on the interval $(-\infty,0)$ and increasing on the interval $(0,\infty)$.
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use the intermediate value theorem to show that f has a zero between a …
\(f(a)=-3\), \(f(b)=5\), since \(f(a)<0\) and \(f(b)>0\)
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question for the function $f(x)=x^{2}+2x + 4$, find the slope of the se…
$-1$
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question for the function f(x) = x^2 - 4, find the slope of the secant …
7
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which enlightenment philosophe was best known for his criticism of chri…
1. B. Voltaire 2. C. Adam Smith 3. A. should have a limited role in the economy
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calculate the limit in the following exercise, using a table. verify yo…
| x | f(x) | |----|----| | 2.9 | 1.678 | | 2.99 | 1.668 | | 2.999 | 1.666 | | 3.001 | 1.667 | | 3.01 | 1.666 | | 3.1 | 1.656 | The limit $\lim_{x ightarrow3}\frac{x^{2}+4x - 21}{x…
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find the maximum vertical distance d between the parabola, f(x)=4x^2 + …
$14.0625$
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based on a study of population projections for 2000 to 2050, the projec…
(a) The average rate of change is approximately \(1.098\) million per year. (b) The instantaneous rate of change in 2014 is approximately \(1.622\) million per year.
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passage 1 passage 2 how does the author of passage 2 use rhetorical dev…
There is not enough information in the provided passage 1 to determine how the author of passage 2 uses rhetorical devices.
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determine whether each limit exists. if a limit exists, estimate its va…
(a) $\lim_{x\to - 3^{-}}f(x)$: [Estimated value from the graph for left - hand approach to $x=-3$] $\lim_{x\to - 3^{+}}f(x)$: [Estimated value from the graph for right - hand appr…
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analyzing rhetorical devices passage 1 passage 2 how does the author of…
The writer uses a rhetorical question to introduce the positive effects of social media.
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which words does martin luther king, jr. include in his \i have a dream…
"crippled", "poverty", "racial injustice"
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use the graph of f(x) shown here to find each of the following limits. …
(The answer depends on the actual graph. If the function increases without bound as x approaches - 4 from the left, the answer is $\infty$. If it decreases without bound, the answ…
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lim f(x) = 9 and lim f(x) = 9, but f(3) does not exist. x→3⁻\tx→3⁺ what…
B. is 9
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choose the best answer for the limit. if $lim_{x ightarrow6^{-}}f(x)=li…
is $-4$.
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given the function $f(x)=x^{2}+3x - 2$, determine the average rate of c…
$3$
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watch the video and then solve the problem given below. click here to w…
400
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find the limits in a), b), and c) below for the function f(x) = \\frac{…
a) $-\infty$ b) $\infty$ c) B. The limit does not exist and is neither $-\infty$ nor $\infty$.
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refer to the graph of y = f(x) to the right to describe the behavior of…
A. $\lim_{x ightarrow1^{-}}f(x)=2$
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for the function shown below, find (if the quantity exists) (a) $lim_{x…
A. $\lim_{x ightarrow0^{+}}f(x)=15$ (B) $\lim_{x ightarrow0^{-}}f(x)=15$ (C) $\lim_{x ightarrow0}f(x)=15$ (D) $f(0)=15$
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t(d) is a function that relates the number of tickets sold for a movie …
The same number of tickets was sold on the fourth day and tenth day.
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use the graph of the function f shown to estimate the indicated quantit…
(Without the actual graph, we can't give a specific number. But if we assume we can read from the graph and the function approaches \(y = 2\) as \(x\to1^{-}\)) A. \(\lim_{x\to1^{-…
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use the graph of the function f shown to the right to estimate the indi…
(D) If there is a solid - dot at x=-2 on the graph, then A. f(-2)= [the y - value of the solid - dot]. If there is a hole or no defined value at x = - 2 on the graph, then B. The …
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find y if y = \\frac{2}{3x^{3}}. y = □
$-\frac{2}{x^{4}}$
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assignment submission for this assignment, you submit answers by questi…
$\ln\frac{5}{16}$
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given the function $y = \frac{1 - x}{2x^{3}-5}$, find $\frac{dy}{dx}$ i…
$\frac{4x^{3}-6x^{2}+5}{(2x^{3}-5)^{2}}$
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an object moves along the y - axis (marked in feet) so that its positio…
a. $v = 3x^{2}-24x + 36$ b. 15 feet per second c. $x = 2$ seconds and $x = 6$ seconds
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find the indicated derivative. $\frac{d}{du}(2u^{0.4}-6u^{2.6})$ $\frac…
$0.8u^{-0.6}-15.6u^{1.6}$
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the graph of the following function has one relative extreme - point. f…
\((-2,1)\) (a relative minimum since \(f^{\prime\prime}(x)>0\) at \(x=-2\))
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the graph of the function has one relative extreme - point. plot this p…
$-2$
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read the excerpt from the storyteller. \she did all that she was told, …
It indicates that the aunt's portrayal of right and wrong is inauthentic and unconvincing.
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find the indicated derivative. $\frac{dy}{dx}$ for $y = x^{3}$ $\frac{d…
$3x^{2}$
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choose the best answer for the limit. if $lim_{x ightarrow5^{-}}f(x)=2$…
does not exist.
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current learning objective: solving quadratic equations by factoring qu…
$x=-3,\frac{3}{5}$
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current learning objective: multiplying complex numbers question 8 scor…
$-39 + 39i$
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the magna carta 18. why was the magna carta created?
The Magna Carta was created to limit the power of the king and establish the principle that the king was subject to the law, as nobles were dissatisfied with the king's abuse of p…
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write your own moral dilemma directions: write your own moral dilemma s…
You are a doctor in a war - torn area with limited medical supplies. Two patients arrive at the same time. One is a young soldier who is severely injured but has a good chance of …
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solve the system using substitution. 3x + 6y = 27 -6x + y = -2 the solu…
$(1,4)$
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how do the federalist and anti - federalist views on federal taxation p…
B. Different views show deep disagreement about potential government overreach and individual liberty
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it is essential that we are never again in a ______ of having such limi…
D. position
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current learning objective: solving absolute value inequalities questio…
\(-1 < x<-\frac{1}{3}\)
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question 8 find lim_{x→ - 4} f(x) the limit does not exist - 3 0
-3
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question 7 find limₓ→ - 2 f(x) -8 limit does not exist -7
-7
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question 6 2 pts find all values of x where $\frac{x^{2}-9}{x - 3}$ is …
$x = 3$
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evaluate $lim_{x ightarrow3}\frac{x^{2}-9}{x - 3}$ if it exists (write …
$6$
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find $lim_{x ightarrowinfty}\frac{4x^{2}-5x^{3}+5}{6x^{3}+20}$ if it ex…
$-0.833$
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current learning objective: solving inequalities in one variable algebr…
$x<-\frac{2}{3}$
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consider the following values for x: x -0.1 -0.01 -0.001 0.001 0.01 0.1…
The limit does not exist
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question 2 for what value(s) of x does the limit of f(x) does not exist…
$-4,2,4$
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question 1 1 pts true or false: f(x) has multiple points between x = a,…
False
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if it takes such determination to promote the active voice, limit adver…
D. grammatical relation of the subject of a verb to the action
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current learning objective: using the quadratic formula question 6 scor…
$A=-2 - 3\sqrt{2}$ $B=-2 + 3\sqrt{2}$
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review the text. good study habits train your brain for success. applyi…
The author outlines a series of best practices to follow to improve study habits.
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which point of view uses a narrator who is a character in the narrative…
B. First person
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the pros and cons of recycling are heavily debated, but there’s never a…
D. argument
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which is a disadvantage of s corporations? they have high taxation rate…
There are very strict qualification requirements for becoming an S corporation
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the function y = f(x) is graphed below. plot a line segment connecting …
The average rate of change is $\frac{f(3)-f(0)}{3}$, where $f(0)$ and $f(3)$ are the $y$ - values of the function $y = f(x)$ at $x = 0$ and $x = 3$ respectively, read from the gra…
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current learning objective: multiplying complex numbers question 20 sco…
$-117$
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short answer questions question #1 what is the main advantage of a corp…
Question #1: Limited liability protects shareholders' personal assets. Question #2: Unlimited personal liability exposes owner's assets. Question #3: They have expertise to avoid …
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current learning objective: multiplying complex numbers question 19 sco…
A. \(-17 + 17i\)
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current learning objective: setting up a linear equation to solve a rea…
The number of blue marbles is: 12 The number of green marbles is: 41
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current learning objective: solving a rational equation question 13 sco…
B. $x = 48$
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2. using the axis to the right, draw an example of a polynomial functio…
Draw a smooth curve starting from the bottom - left quadrant, crossing the \(x\) - axis at some points (e.g., \(x=-1,0,1\) for \(y=x^3 - x\)) and going to the top - right quadrant.
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current learning objective: writing the equations of lines parallel or …
$-1$
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current learning objective: writing the equations of lines parallel or …
C. $y = 4x+6$
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4. what does the dance with harrison and the ballerina symbolize? a. fr…
A. freedom from limitations
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the function f(x) is given by $f(x)=2x^{6}+5x^{4}+6x + 1$. which of the…
$\lim_{x\to\infty}f(x)=\infty$, $\lim_{x\to-\infty}f(x)=\infty$
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while harrison and the ballerina dance, they... a become competitive. b…
C. appear to have no limitations.