Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
-
use the root test to determine if the following series converges absolu…
Since the limit resulting from the Root Test is \(0\), which is less than \(1\), the series \(\sum_{n = 1}^{\infty}\frac{7}{(4n + 5)^{n}}\) converges absolutely.
-
find the limit. use lhospitals rule where appropriate. if there is a mo…
\(\frac{1}{\ln2}\)
-
find the limit. use ihospitals rule where appropriate. if there is a mo…
\(0\)
-
find the limit. use lhospitals rule if appropriate. if there is a more …
\(\frac{49}{2}\)
-
select the correct choice below and, if necessary, fill in the answer b…
A. The function has an inflection point at \((5,-2)\)
-
find the limit. use lhospitals rule where appropriate. if there is a mo…
$\frac{1}{4}$
-
find the absolute extrema if they exist, as well as all values of x whe…
A. The absolute maximum is \(74.83\), which occurs at \(x=-5\). B. The absolute minimum is \(-46.67\), which occurs at \(x = 4\).
-
find the limit. use lhospitals rule where appropriate. if there is a mo…
\(\lim_{x ightarrow(\frac{\pi}{2})^+}\frac{\cos(x)}{1 - \sin(x)}=-\infty\) \(\lim_{t ightarrow0}\frac{e^{7t}-1}{\sin(t)}=7\)
-
find the limit. use lhospitals rule where appropriate. if there is a mo…
\(11\)
-
$$\\lim_{x \\to a} f(x)=0$$ $$\\lim_{x \\to a} g(x)=0$$ $$\\lim_{x \\to…
(a) INDETERMINATE (b) \(0\) (c) INDETERMINATE (d) INDETERMINATE (e) \(\infty\) (f) INDETERMINATE
-
given that \\( \\lim _{x \ ightarrow a} f(x)=0 \\) \\( \\lim _{x \ ight…
(a) \(-\infty\) (b) INDETERMINATE (c) \(\infty\)
-
find the partial derivative. f(x,y)=8x + 4x^{2}y^{2}-3y^{2}. find f_{x}…
B. \(8 + 8xy^{2}\)
-
given that \\( \\lim _{x \ ightarrow a} f(x)=0 \\) \\( \\lim _{x \ ight…
(a) INDETERMINATE (b) \(\infty\) (c) \(\infty\)
-
determine if the series converges or diverges. give a reason for your a…
A. The limit comparison test with \(\sum_{n = 1}^{\infty}\frac{1}{\sqrt{n}}\) shows that the series diverges
-
determine if the series converges or diverges. use any method, and give…
D. Because \(\frac{\sqrt{n}}{n^{2}+5}\leq\frac{1}{n^{1.5}}\) and \(\sum_{n = 1}^{\infty}\frac{1}{n^{1.5}}\) converges, the series converges by the Direct Comparison Test.
-
given that \\( \\lim _{x \ ightarrow a} f(x)=0 \\) \\( \\lim _{x \ ight…
(a) INDETERMINATE (b) \(0\) (c) \(0\) (d) INDETERMINATE
-
determine if the series converges or diverges. use any method, and give…
A. The series diverges because the limit found in the nth - Term Test is \(\frac{2}{9}\)
-
question 14 of 25 a single - unit investment comprising various stocks,…
B. mutual fund
-
edpuzzle: credit card debt explained as youve seen, college students us…
1. d. The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month. 2. d. You avo…
-
suppose that the graph below is the graph of f(x), the derivative of a …
a) The function \( f(x) \) is increasing on the interval \( (-1,6) \). b) The function \( f(x) \) is decreasing on the intervals \( (-\infty,-1)\) and \( (6,\infty) \).
-
suppose that the graph below is the graph of ( f(x) ), the derivative o…
a) The function \(f(x)\) is increasing on the intervals \((-\infty,-8)\cup(8,\infty)\) b) The function \(f(x)\) is decreasing on the interval \((-8,8)\)
-
a rectangular tank with a square base, an open top, and a volume of 32 …
\(4,2\)
-
a fence must be built to enclose a rectangular area of 5000 ft². fencin…
\(400\)
-
find the x - values of all points where the function has any relative e…
B. There are no relative minima. The function has a relative maximum of \( 256 \) at \( x = 0 \)
-
for the function ( f(x)=3x^{3}-2x^{2}+13x + 8 ), find ( f^{primeprime}(…
\(f^{\prime\prime}(x)=18x - 4\); \(A. f^{\prime\prime}(0)=-4\); \(A. f^{\prime\prime}(9)=158\)
-
let ( f(x,y) ) be a function that has ( (-3,-7) ) as a critical point. …
B. f has a relative minimum at \((-3,-7)\)
-
question 6 of 10 a single unit investment comprising various stocks, bo…
D. mutual fund
-
target i identify all intervals of increase and decrease in interval or…
Intervals of increase: \((-2,-1.5)\) and \((1,2)\) Intervals of decrease: \((-1.5,0)\) and \((0,1)\)
-
a2.2.1.1.4 target h identify the relative maximum and minimum values of…
Relative maximum: \((0,0)\) Relative minima: \((-1.5,-1.5)\) and \((1.5,-1.5)\)
-
match each logical fallacy with the correct definition. match term defi…
A. Ad hominem, E. Bandwagon, D. False analogy, F. Hasty generalization, C. Red herring, B. Slippery slope
-
all of the following should be considered before enrolling in a 529 pla…
B. There is a limit on how many colleges you can apply to.
-
warm up current and recent college students typical credit card usage 1…
1. \(4\%\) 2. For online purchases 3. On a regular basis for everyday purchases, \(20\%\) 4. Students may have less income, lower credit limits, and more parental support for big …
-
question 3 of 10 which of the following is a characteristic of the coll…
A. There is an age limit. (Incorrect, no age limit) B. It is administered only by states. (Incorrect, some educational institutions also offer) C. It is not available in every sta…
-
lhopital: problem 3 (1 point) evaluate the limit lim _ { x ightarrow in…
\(\frac{7}{2}\)
-
which of the following is a good way to save money if you attend colleg…
D. Check Web sites for student discounts
-
lhopital: problem 1 (1 point) results for this submission the answer is…
\(e^{10}\)
-
evaluate the limit using lhospitals rule if necessary lim _{x ightarrow…
\(e^{10}\)
-
second derivative test: problem 3 (1 point) consider the function ( f(x…
\(A=\frac{\pi}{4}\) \(B=\frac{3\pi}{4}\) \(f^{\prime\prime}(A)=-\frac{\sqrt{2}}{2}\) \(f^{\prime\prime}(B)=\frac{\sqrt{2}}{2}\) Thus \(f(x)\) has a local maximum at \(A\) and a lo…
-
second derivative test: problem 2 (1 point) the function f has a contin…
C. \(f\) has neither a local maximum nor a local minimum at \(-6\)
-
question 2 of 10 when taking into consideration a colleges tuition cost…
D. be open to lesser - known, cheaper colleges.
-
second derivative test: problem 1 (1 point) consider the function ( f(x…
\(B = 0\); \((-\infty,B)\): CD; \((B,\infty)\): CU
-
question 9 of 14, step 1 of 1 a passenger airplane, flying at an altitu…
\(549.63\)
-
question 6 (3 points) the listing associate, betty principi, gives the …
A. Although Betty may explain each section of the form, she should neither mark the boxes nor sign on the seller’s behalf.
-
the seller has never lived in the residential property she is selling a…
No, the notice should be filled out by the seller because the listing agent likely does not know the specifics about the property.
-
most resources are nonrenewable, and wants and needs are unlimited. thi…
B. scarcity
-
how does scarcity determine the economic value of an item? by the amoun…
C. by the unlimited wants of the consumers
-
president roosevelt served four terms, in response, congress passed an …
Limit the President to two terms
-
understanding scarcity which of these statements demonstrate the econom…
All useful resources are limited in their supply, The wants and needs of people are unlimited, Resources are scarce, which explains why we are willing to pay for them, Because of …
-
signs of having a phobia include, but are not limited to: a irritabilit…
B. a persistent fear of nonthreatening situations interrupting daily life
-
20. rené descartes is best known for linking which two mathematical fie…
C. Algebra and geometry
-
q5 sketch a graph of a function with the following features: 1) the y -…
Sketch a parabola opening upwards with vertex at \((2,-2)\), passing through \((0,-1)\) and \((4,-1)\), and negative (below the \(x\) - axis) for \(x\in(-1,3)\) (approximate value…
-
sketch the graph of ( g(x) ) with the following features: 1) the functi…
Sketch a curve with maximum at \((2,0)\), increasing for \(x\lt2\), decreasing for \(x\gt2\) and non - positive for all \(x\)
-
sketch the graph of a function with the following features: 1) the y - …
A possible graph is of the function \(y=(x - 1)^2+1\). Plot the point \((0,1)\). The parabola opens upwards (since the leading coefficient of \(x^{2}-2x + 2\) is positive). For \(…
-
use the information below to answer the question that follows. to promo…
granting copyrights and patents
-
q2 sketch the graph of a function with the following features: 1) the y…
Sketch the line \(y=\frac{7}{3}x + 7\) with \(y\) - intercept \((0,7)\), passing through \((-3,0)\) and having a positive slope.
-
anita was given some key features of a graph. then she drew the graph b…
# Explanation: ## Step1: Analyze the function's sign The graph is above the \(x -\)axis (function is positive) when \(-2 < x<2\). So this key - feature is correct. ## Step2: Analy…
-
for the function ( f(x) = 5x^{3}-7x^{2}+7x + 7 ), find ( f(x) ). ( f(x)…
\(f'(x)=15x^{2}-14x + 7\)
-
use the graph to determine a. open intervals on which the function is i…
A. The function is increasing on the interval(s) \((-2,5)\)
-
fill in the blanks. the expression \\( \\frac { f ( x + h ) - f ( x ) }…
The expression \(\frac{f(x + h)-f(x)}{h},h eq0\) is called the **difference quotient** of the function \(f\). We find this expression by replacing \(x\) with \(x + h\) each time …
-
find the locations and values of all relative extrema for the function …
The function has a relative minimum at \(x = 1\).
-
3. use the x - y table to graph the function. then find the characteris…
- growth or decay? Decay - transformations? Reflection over the \(x\) - axis and vertical shift up \(5\) units - asymptote at \(y = 5\) - domain: \((-\infty,\infty)\) - range: \((…
-
a record provided by a credit agency which documents a persons credit h…
Credit report
-
question 1 2 pts (02.07 lc) a universal theme can best be defined as a …
an idea that applies to anyone, anywhere, regardless of cultural differences
-
weeklyquiz - 9 5.1 - 5.3: problem 7 (1 point) use the letter x to denot…
1. \(2.136\times10^{-24}\) 2. \(2\times10^{13}\) 3. \(350000000000000000000\)
-
weeklyquiz - 9 5.1 - 5.3: proble (1 point) simplify the expression: \\(…
\(\frac{a^{10}}{4b^{11}c^{2}}\)
-
which classification of agency applies to the agency relationship betwe…
B. General agency
-
immigrant festivals and celebrations, like st. patricks day, became par…
fostered community pride and national cultural integration
-
congress in a flash a. who does what? read each statement and decide if…
1. A. Require training for providers registered to prescribe opioids. B. Limit prescriptions with no refills. 2. Both the House and Senate have elements of training and prescripti…
-
nancys mother is moving into assisted living, and she has asked nancy t…
B. General agency
-
which point is the best approximation of the relative maximum of the po…
A. \((-2.7,16)\)
-
what is the maximum number of possible extreme values for the function …
D. 2
-
complete the following statement using the vocabulary. write your answe…
7. Composite function 8. Asymptote
-
a student who has trouble hearing and must have a written copy of class…
C. participation restriction
-
the \if\ statement for each function rule sets limits on which variable…
The independent variable
-
6. what is the significance of the supreme court case mcculloch v. mary…
6. B. It affirmed the federal government’s supremacy over state governments in matters of constitutional authority. 7. A. The President appoints Supreme Court justices, but the Se…
-
question 15 2 pts the magna carta, signed by king john of england, was …
legal document defining particular rights of nobles and freemen and limiting royal power.
-
f(x)=x^{2}+10 what is the average rate of change of f over the interval…
\(-3\)
-
two friends experience conflict over getting to the beach. one friend w…
C. cognitive
-
5 what is one unique way in which the medium of radio can affect a mess…
A. By setting a scene using music and background noise
-
8. $y=-3cos x$, $-2pileq xleq2pi$
The graph of \(y=-3\cos(x)\) for \(-2\pi\leq x\leq2\pi\) is a cosine - like curve with amplitude \(3\), passing through the points \((-2\pi,-3),(-\pi,3),(-\frac{\pi}{2},0),(0, - 3…
-
question 22 (4 points) listen the supreme court has interpreted the fou…
2) strike down racial segregation in the states.
-
4. $y = 3cos x - 1$, $0leq xleq 2pi$
The graph of \(y = 3\cos x-1\) for \(0\leq x\leq2\pi\) is a cosine - type curve passing through the points \((0,2)\), \((\frac{\pi}{2},-1)\), \((\pi,-4)\), \((\frac{3\pi}{2},-1)\)…
-
use the graph of the rational function shown to complete the statement.…
\(-\infty\)
-
3. $y = 3sin x + 1, 0leq xleq 2pi$
Plot the points \((0,1)\), \((\frac{\pi}{2},4)\), \((\pi,1)\), \((\frac{3\pi}{2},-2)\), \((2\pi,1)\) and connect them with a smooth sine - curve - like graph.
-
q: choose the word that fits best intrinsic a. emphatic b. inconceivabl…
d. integral
-
question 14 (4 points) listen policies that seek to limit or control th…
3) Regulatory
-
2. $y = 3cos x, 0leq xleq 2pi$
The graph of \(y = 3\cos x\) for \(0\leq x\leq2\pi\) has amplitude \(3\), passes through the points \((0,3),(\frac{\pi}{2},0),(\pi,-3),(\frac{3\pi}{2},0),(2\pi,3)\) and is a cosin…
-
the graph represents a cubic function. what does the graph indicate abo…
The values decrease at a constant rate from \(x = 0\) to \(x\approx1\), then increase at a constant rate for values of \(x\) such that \(1 < x<3\).
-
unit 2 summative: a new nation what was one major impact of the magna c…
It limited the king's power and protected certain rights.
-
unit 2 summative: a new nation according to the social contract theory,…
Protection of their natural rights and security
-
unit 2 summative: a new nation what was the significance of the english…
It limited the power of the monarchy and protected citizens' rights.
-
ancient greece introduced the idea of __________. citizens participatin…
citizens participating directly in government
-
what did the colonists come to believe about government due to enlighte…
Government should be based on the will (wishes) of the people.
-
trig/pre-calc amplitude graph each function on the given interval. 1. (…
Graph the function \(y = 3\sin(x)\) in the interval \([0,2\pi]\) by plotting the key points \((0,0)\), \((\frac{\pi}{2},3)\), \((\pi,0)\), \((\frac{3\pi}{2},-3)\), \((2\pi,0)\) an…
-
7. what is the purpose of the debt ceiling mentioned in the video? a. t…
7. B. To limit how much debt the US Treasury can issue. 8. B. To oversee commercial banks and conduct monetary policy. 9. B. Borrowers find it easier to pay back loans and borrow …
-
evaluate \\( \\lim _ { x \ ightarrow 0 } \\frac { 1 - e ^ { x } } { 3 x…
1. c. \(-\frac{1}{3}\) 2. a. \(0\)
-
text-dependent questions directions: for the following questions, choos…
1. B. Forcing uniformity on people doesn't result in equality, but rather causes conflict and unhappiness. 2. B. Harrison briefly shows people what is possible without handicaps. …
-
the term \lame duck\ is often used to describe a politician who is in t…
be able to influence other lawmakers
-
which of the following is most likely to be a relative minimum for this…
A. \((3,-4)\)
-
f. $$ \\lim _ { x \ ightarrow 0 } \\frac { x - \\sin x } { x ^ { 3 } + …
F. $0$ G. $e^{2}$ H. $0$ I. $e^{2}$ J. $1$