微積分
極限、導數、最優化與函數性質。
-
33 - 36 express the integral $iiint_e f(x,y,z)dv$ as an iterated integr…
The six iterated integrals are: 1. \(\int_{-1}^{1}\int_{0}^{4 - 4z^{2}}\int_{-\sqrt{4 - 4z^{2}-y}}^{\sqrt{4 - 4z^{2}-y}}f(x,y,z)dxdydz\) 2. \(\int_{0}^{4}\int_{-\frac{1}{2}\sqrt{4…
-
3. how did cultural bias or prejudice impact immigration policies? a. i…
3. A. Immigration was restricted to those who were educated. 4. A. that immigrants were taking jobs away from native - born citizens.
-
multiple choice question societies that have a high uncertainty avoidan…
to have extensive rules
-
the cost of manufacturing $x$ toasters in one day is given by $c(x)=-0.…
(a) $x = 100$ (b) $(0,100)$ (c) $(100,400)$ (d) $x = 100$ (e) NONE
-
the necessary and proper, or elastic, clause of the constitution provid…
powers that are not listed in the Constitution but are needed to exercise the listed powers
-
the function (f(x)=-2x^{3}+15x^{2}+84x - 3) is increasing on the interv…
The function is increasing on the interval \((-2,7)\), decreasing on the intervals \((-\infty,-2)\) and \((7,\infty)\), and has a relative maximum at \(x = 7\).
-
question 29 identify the open intervals on which the graph below is inc…
Increasing: $(-4,-2),(3,5)$ Decreasing: $(-2,3)$
-
multiple choice question the necessary and proper, or elastic, clause o…
powers that are not listed in the Constitution but are needed to exercise the listed powers
-
multiple choice question in his criticism of the constitution, historia…
A. often discussed during the Philadelphia convention
-
select all that apply. which of the following statements describe the t…
The government of a republic responds to the needs of the majority while protecting the minority. In a democracy the power of the majority is unlimited.
-
what impact did the caliphs have on the spread of islam? the caliphs’ r…
D. Caliphs were able to spread Islam as far as Europe and India.
-
the u.s. constitution placed limitations on popular rule in which of th…
- having the president elected by the Electoral College - having U.S. senators elected by state legislatures
-
read the excerpt from chapter 10 of animal farm. the pigs appeared comp…
They prohibited alcohol when they took control of the farm.
-
35. $lim_{x ightarrow1^{+}}\frac{x^{2}-5x + 6}{x - 1}$
$+\infty$
-
political scientist richard neustadt described the system of checks and…
A. separated institutions sharing power
-
the function (f(x)=2x^{3}+12x^{2}-192x + 7) is decreasing on the interv…
The function is decreasing on the interval \((-8,4)\), increasing on the intervals \((-\infty,-8)\) and \((4,\infty)\), and has a local maximum at \(x=-8\).
-
as defined by the framers, who or what limits the majoritys power in a …
D. a system of checks and balances
-
33. $lim_{x \to 0} \frac{x^{3}-5x^{2}}{x^{2}}$
$-5$
-
multiple choice question the bill of rights limited the power of o the …
B. the national government
-
5. $int_{1}^{2}int_{0}^{2z}int_{0}^{ln x}xe^{-y}dydxdz$
$\frac{5}{3}$
-
the challenge facing the framers was how to reconcile _______. o repres…
representative government and limited government
-
multiple choice question a government that is subject to strict legal c…
limited government
-
question 2 find the average rate of change of the function $f(x)=x^{2}-…
$6$
-
numerical, graphical, and analytic analysis in exercises 47 - 50, use a…
The limit of $f(x)=x - \sqrt{x(x - 1)}$ as $x\to\infty$ is $\frac{1}{2}$. The values in the table for increasing - large values of $x$ approach $0.5$, which is consistent with the…
-
6. -/4 points prove the statement using the ε, δ definition of a limit.…
We have shown that for every $\epsilon>0$, choosing $\delta = \sqrt{\epsilon}$ satisfies the $\epsilon-\delta$ definition of the limit. So, $\lim_{x ightarrow0}x^{2}=0$.
-
31. a. $lim_{x ightarrow0}\frac{x - 3}{x^{4}-9x^{2}}$ b. $lim_{x ightar…
a. $\infty$ b. $\frac{1}{54}$ c. $\infty$
-
how do people make choices? why do people and societies have to make ch…
Economics is the study that helps explain how and why people and societies make choices. These choices are influenced by limited resources and the need to satisfy unlimited wants.
-
(a) what radius produces such a disk? (round your answer to four decima…
1. **(a) Solution**: - The area formula of a disk is \(A = \pi r^{2}\). Assume the area \(A = 600\ cm^{2}\). - # Explanation: - ## Step1: Rearrange the area - formula for radius -…
-
use the given graph of $f(x)=x^{2}$ to find a number $delta$ such that …
$0.225$
-
use the given graph of (f(x)=sqrt{x}) to find a number (delta) such tha…
$1.44$
-
use the given graph of f to find a number δ such that if |x - 1| < δ th…
\(0.1\)
-
since the left and right limits are select , the limit is as follows. (…
DNE
-
we now factor and cancel common factors. lim_{x ightarrow - 6^{+}}\frac…
5
-
next, we check the limit when approaching from the right. as x approach…
5
-
now, we factor and cancel common factors. \\(\\lim_{x\\to - 6^{-}}\\fra…
$-5$
-
recall that |x + 6|=\begin{cases}x + 6&xgeq - 6\\-(x + 6)&xlt - 6end{ca…
$-5$
-
let f(x)=\begin{cases}x^{2}+3&\text{if }x < 1\\(x - 2)^{2}&\text{if }xg…
(a) $\lim_{x ightarrow1^{-}}f(x)=4$ $\lim_{x ightarrow1^{+}}f(x)=1$ (b) No (c) For $y = x^{2}+3,x<1$, it is a part of a parabola opening upwards with vertex at $(0,3)$ and an open…
-
if 2x ≤ g(x) ≤ x^4 - x^2 + 2 for all x, evaluate lim(x→1) g(x). enter a…
$2$
-
evaluate the limit, if it exists. (if an answer does not exist, enter d…
\(-\frac{9}{2}\)
-
7. - / 1 points evaluate the limit, if it exists. (if an answer does no…
$-\frac{1}{16}$
-
evaluate the limit, if it exists. (if an answer does not exist, enter d…
$10$
-
practice exercises 21 - 44. determining limits analytically determine t…
\(+\infty\) #### b.
-
5. - / 1 points evaluate the limit, if it exists. (if an answer does no…
$\frac{1}{75}$
-
this limit can now be evaluated as follows. (if an answer does not exis…
$\frac{4}{5}$
-
next, cancel common factors. lim_{x \to 4} \frac{x(x - 4)}{(x - 4)(x + …
$\frac{4}{5}$
-
6. why weren’t the people on easter island able to grow their own food …
Over - deforestation causing soil erosion, limited arable land due to small island size, and isolation restricting new plant species and agricultural knowledge.
-
(a) what is wrong with the following equation? \\(\\frac{x^{2}+x - 20}{…
(a) The left - hand side is not defined for $x = 4$, but the right - hand side is. (b) Since the equation holds for all $x eq4$, it follows that both sides of the equation approa…
-
given that lim(x→3) f(x) = 9 lim(x→3) g(x) = -2 lim(x→3) h(x) = 0, find…
(a) 3 (b) -8 (c) 3 (d) -18 (e) DNE (f) 0
-
directions: brainstorm your answers to the following questions in the s…
1. King John likely did not treat his people fairly as his taxation was self - serving. He could have been more lenient to avoid the Magna Carta. 2. Yes, people should have the sa…
-
the mist when we were miles away. we drove through part of niagara fall…
The correct expression is "favorite" instead of "most favorite".
-
a. evaluate f(5) given that f(x) = (x^2+(16 - 5x))/(8x). f(5) = 0.4 pre…
$\frac{9x^{3}-2}{8x}$
-
assignment 2: problem 28 (1 point) let $f(x)=\begin{cases}-\frac{5}{x +…
$\lim_{x\to - 2^{-}}f(x)=\text{Infinity}$ $\lim_{x\to - 2^{+}}f(x)=1$ $\lim_{x\to - 2}f(x)=\text{DNE}$
-
assignment 2: problem 27 (1 point) evaluate the following limits: 1. $l…
1. $-\infty$ 2. $\infty$ 3. $-\infty$ 4. $\infty$
-
question 57 (1 point) listen in the context of aggregate planning optio…
Question 57: B. Lost sales and customer loyalty costs Question 58: A. The objective is usually to minimize cost, and typical constraints are meeting demand requirements and resour…
-
cg.1.8 securing liberty by constitution \...and secure the blessings of…
A. It protects freedom for future Americans.
-
argued over the basic principles and limits in the role of the governme…
Federalist. This quote reflects the Federalist view of a well - structured division of power in the new republic, which was a key tenet of Federalist ideology to ensure stability …
-
excerpt from the u.s. constitution - article i section 8 the congress s…
C. It grants the national government the authority to raise revenue directly.
-
(1 point) evaluate \\(\\lim_{x\\to - 2}(x - 2)^{6}(-5x^{2})\\) answer: …
-81920 E, D, G
-
excerpt from the articles of confederation: each state retains its sove…
C. it emphasized state-centered power with limited national control.
-
the graphs of the linear function f and the linear function g are shown…
$8$
-
suppose \\(\\lim_{x\\to a}h(x)=1, \\lim_{x\\to a}f(x)=1, \\lim_{x\\to a…
1. 2 2. 0 3. 0 4. 1 5. DNE 6. 0 7. 1 8. 1 9. 1
-
if (f(x)=ln xcos x), then (f(x)=) (a) (-\frac{sin x}{x}) (b) (\frac{sin…
C. $\frac{\cos x}{x}-\ln x\sin x$
-
use the precise definition of a limit to prove lim(x→ - 5)(x + 5)^4=0. …
The relationship between $\epsilon$ and $\delta$ is $\delta=\sqrt[4]{\epsilon}$
-
let f(x)=\begin{cases}18&\text{if }x < - 7\\-x + 11&\text{if }-7leq x <…
1. $18$ 2. $18$ 3. $18$ 4. $3$ 5. $11$ 6. DNE
-
the graphs of the linear function $f$ and the piece - wise linear funct…
$5$
-
let the function $f$ be defined by: f(x)=\begin{cases}x + 2&\text{if }x…
1. $0$ 2. $2$ 3. Does not exist
-
(int\frac{ln^{2}3x}{x}dx) (int\frac{\tan(ln x)}{x}dx)
$\int\frac{\ln^{2}3x}{x}dx=\ln x\ln^{2}3+\ln 3\ln^{2}x+\frac{\ln^{3}x}{3}+C_1$, $\int\frac{\tan(\ln x)}{x}dx=-\ln|\cos(\ln x)|+C_2$
-
if (f(x)=e^{x}sin x), then (f(x)=) (a) (e^{x}cos x) (b) (-e^{x}cos x) (…
C. $e^{x}(\sin x+\cos x)$
-
10. the graph of p in the figure has vertical asymptotes at x = -2 and …
a. $\lim_{x\to - 2^{-}}p(x)=-\infty$ b. $\lim_{x\to - 2^{+}}p(x)=\infty$ c. $\lim_{x\to - 2}p(x)$ does not exist d. $\lim_{x\to 3^{-}}p(x)=-\infty$ e. $\lim_{x\to 3^{+}}p(x)=\inft…
-
let f be a differentiable function such that f(2)=2 and f(2)=5. if g(x)…
D. 64
-
let (f) be a differentiable function such that (f(3)=4) and (f(3)=5). i…
D. 69
-
assignment 2: problem 7 (1 point) let f be the function whose graph is …
1. $3$ 2. $-3$ 3. DNE 4. $3$ 5. $1$ 6. $1$ 7. $1$ 8. $-1$ 9. DNE
-
which two statements accurately describe problems faced by native ameri…
A. Native Americans' hunting opportunities in the region were severely limited by the presence of American society B. Railroads brought an increase in population, leading to contr…
-
suppose the position of a particle, s(t) is given by s(t)=t^{2}-5t + 22…
(a) \(2t - 5\) (b) \(1\) feet per second (c) \(\frac{5}{2}\text{ seconds}\)
-
unit 2 day 9 and 10 exit ticket: jefferson and slavery 1. which of the …
1. a. They believed slavery was a cost - effective system of labor for the agriculture industry. 2. b. Violated fundamental human rights and dignity. 3. a. Ignored the fact that t…
-
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…
-
if (f(x)=sin x), then (lim_{x ightarrow2pi}\frac{f(2pi)-f(x)}{x - 2pi}=…
B. -1
-
if (f(x)=ln x), then (lim_{x ightarrow2}\frac{f(2)-f(x)}{x - 2}) a (ln …
B. $-\frac{1}{2}$
-
6 mark for review $lim_{x ightarrow0}\frac{5^{x}-1}{x}$ a 0 b $ln 5$ c …
B. $\ln 5$
-
let f be the function given by f(x)=3 sin x + 8e^x. what is the value o…
D. 11
-
if (f(x)=sin x), then (lim_{x ightarrow2pi}\frac{f(2pi)-f(x)}{x - 2pi}=…
B. -1
-
3 mark for review $lim_{x ightarrow0}\frac{2^{x}-1}{x}=$ a 0 b $ln 2$ c…
B. $\ln 2$
-
if (f(x)=ln x), then (lim_{x ightarrow2}\frac{f(2)-f(x)}{x - 2}=) a (-l…
B. \(-\frac{1}{2}\)
-
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 $\epsilon>0$.
-
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) $\delta=\frac{\epsilon}{2}$
-
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}…
-
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…
-
assignment 2: problem 1 (1 point) rewrite the following expressions usi…
For first: $a = 2$, $b = 1$; For second: $a = 2$, $b = 1$
-
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…
-
on the second day, there are a few negative comments on your post and i…
Create time limits for online activities.
-
some people you know have shared their stories, but you need more varie…
Encouraging diverse points of view to better understand and solve real - world problems.
-
the function y = f(x) is graphed below. what is the average rate of cha…
$-8$
-
the function y = f(x) is graphed below. what is the average rate of cha…
6
-
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.…
-
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.
-
due wednesday by 11:59pm points 100 submitting an external tool select …
As $x ightarrow3^{+},f(x) ightarrow\infty$
-
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…
-
use a change of variables or the table to evaluate the following defini…
$\frac{e - 1}{3}$
-
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.
-
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.