微積分
極限、導関数、最適化、関数挙動。
-
compute the derivative of the given function in two different ways. h(x…
a) $h'(x)=\frac{(3x^{2})\cdot(3x^{2}-16x)-(x^{3}-8x^{2})\cdot(6x)}{(3x^{2})^{2}}=\frac{1}{3}$ b) $h'(x)=\frac{1}{3}$
-
⑤ use properties of limits to evaluate the following limits if they exi…
$1$
-
a. never do bad things b. always do bad things c. do good when possible…
9. c. How to get and keep political power 10. a. Their own interests 11. b. They shouldn't be limited by moral rules 12. c. The result is more important than how you achieve it
-
hw 10 - product and quotient rules section 2.5: problem 6 (1 point) let…
$y = 1350x-3234$
-
hw 10 - product and quotient rules section 2.5: problem 5 (1 point) if …
$-11t^{-2}-58t^{-3}-105t^{-4}$
-
hw 10 - product and quotient rules section 2.5: problem 4 (1 point) let…
$35+\frac{21}{2}\sqrt{x}-105x^{2}-\frac{49}{2}x^{\frac{5}{2}}$
-
compute the derivative of the given function in two different ways. g(x…
a) $g'(x)=(-2x^{3})\cdot(35x^{4})+(-6x^{2})\cdot(7x^{5})=-112x^{7}$ b) $g'(x)=-112x^{7}$
-
kahlo was injured in an accident that broke her spine in several places…
It provides a hopeful image that suggests that Kahlo was not restrained by her condition.
-
hw 10 - product and quotient rules section 2.5: problem 2 (1 point) com…
a) $h'(s)=(-7s + 7)\cdot8+(-7)\cdot(8s + 6)=-112s + 14$ b) $h'(s)=-112s + 14$
-
you put a yam in the oven. after 45 minutes, you take it out. let f(t) …
a. The temperature of the yam when first put in the oven is 65 degrees. b. The yam is hotter 10 minutes after being put in the oven than 5 minutes after being put in the oven. c. …
-
what is a drawback to digital sales channels? inability to interact wit…
Inability to interact with employees
-
the magna carta established the principle of ___, which means a governm…
B. limited government
-
san antonio demographics & urban division handout research activity: ex…
1. Historical discrimination, job availability, and cultural preferences can cause racial group concentration. 2. Higher - income areas may have limited access for some racial gro…
-
a limited government is a government that a shares limited power with t…
D. places restraints on governmental power
-
discontinuities in the graph of a rational function that occur when fac…
holes
-
a farmer estimates that he has 9,000 bees producing honey on his farm. …
The function $f(x)=9000(0.95)^x$ represents the situation; After 2 years, the farmer can estimate that there will be about 8,120 bees remaining; The domain values, in the context …
-
2. a student bought a smartwatch that tracks the number of steps she wa…
a. i. The slope for $[0,40]$ is 99. ii. The slope for $[10,20]$ is 106.3. iii. The slope for $[20,30]$ is 91.4. b. The estimated walking pace at 3:20 p.m. is 98.85 steps per minut…
-
bc unit 6 (all topics) quiz 2025 (a) ⅓(b³ - a³) (b) b³ - a³ (c) ¼(b⁴ - …
4. E. \(\int_{0}^{x}\sqrt{1 + t^{3}}dt\) 5. A. \(f\) is decreasing, and the graph of \(f\) is concave up. 6. 6
-
limited funding is a challenge faced by migration ngos. o true o false
A. True
-
one important benefit of competition is a boost to innovation. competit…
b. It encourages producers to improve their products to increase their profits
-
read the excerpt from \harrison bergeron\. he tried to think a little a…
D. absolute equality prevents personal freedoms of expression
-
setting limits before a date can help ensure a safe and positive experi…
True
-
zach has a credit card with a $500 limit. he has used the card to pay $…
$179.66$
-
seventeenth - century africans introduced colonial americans to the ban…
By tracing the origins of specific instruments, the author begins to show the impact of African musical elements on American music.
-
in 1947, president harry s. truman spoke to the national association fo…
"restrictions upon the individual which depend upon irrelevant factors" (page 5)
-
read the paragraph, then choose the word that best completes the senten…
D. relentless
-
select the correct answer. read the excerpt: i long to hear that you ha…
A. consider how the laws of the new government would affect women like her
-
question what two characteristics of the articles of confederation made…
There were no mechanisms for enforcing the articles. The powers of the federal government were limited.
-
10 numeric 10 points calculate the average rate of change for the funct…
$1$
-
a corporation is least likely to have which advantage? a ability to sel…
C. establishment of price ceilings
-
calculate the average rate of change for the function, f(x)=4\\sqrt{x}-…
$\frac{4}{5}$
-
geraldine is asked to explain the limits on the range of an exponential…
The conclusion is incorrect because the range is limited to the set of positive real numbers.
-
a limited - edition poster increases in value each year with an initial…
A. $y = 18(1.15)^x$
-
read the excerpt from an informative essay about globalization in china…
B. While manufacturing has led to
-
which economic term describes the extra satisfaction gained from using …
- First question: C. Marginal utility - Second question: B. Unlimited wants with limited resources
-
4.4.6 check your understanding there are eleven members of a schools cl…
Part A: \(b + g = 11\) Part B: a limited number of solutions; the number of boys or girls must be a whole number
-
4.4.6 check your understanding there are twelve members of a schools cl…
Part A: $12 = b + g$ Part B: infinitely many solutions because there are an unlimited number of combinations of real numbers whose sum is twelve.
-
the radical republicans drafted the reconstruction amendments to grant …
The 15th Amendment was intended to guarantee African - American men the right to vote for political equality. But southern states used poll taxes, literacy tests, and grandfather …
-
nicole is going to rent a truck for one day. there are two companies sh…
$m>45$
-
read the sentences below, filling in the blanks with items from this li…
1. Intolerable 2. town 3. Britain 4. British 5. boycott 6. George 7. trade 8. Peyton 9. colonial
-
which of the following is a characteristic of a venture capitalist? it …
It refers to an individual who expects a share of ownership for investing funds into a company.
-
document 2: excerpts from the u.s. constitution (1787) preamble we, the…
1. The preamble outlines the reasons for creating the US Constitution such as making the country stronger, keeping peace, protecting people and ensuring freedom. 2. The First Amen…
-
assignment submission for this assignment, you submit answers by questi…
$\frac{1}{4}\ln(\frac{14}{3})$
-
suppose that the function f is defined, for all real numbers, as follow…
Yes
-
assignment submission for this assignment, you submit answers by questi…
$3\ln\frac{8}{3}$
-
find the period of the sine function that has a maximum at $\\left(\\fr…
$\frac{2\pi}{7}$
-
3 - debt financing learning objective: recognize options for long - ter…
B. It has repayment terms that range from 10 to 30 years.
-
use the chart to find $h(3)$ in simplest form. |$x$|$f(x)$|$f(x)$|$g(x)…
$\frac{38}{25}$
-
use the chart to find h(2) in simplest form. |x|f(x)|f(x)|g(x)|g(x)| |2…
$11$
-
higher mean a bank has to pay a higher rate on the money it borrows fro…
c. discount rate controls
-
use the chart to find h(1) in simplest form. | x | f(x) | f(x) | g(x) |…
$15$
-
question given the function y = (3 + x^2)/(x + 6), find dy/dx in simpli…
$\frac{x^{2}+12x - 3}{(x + 6)^{2}}$
-
question given the function $y = \\frac{4x^{2}-1}{2x^{2}-1}$, find $\\f…
$\frac{-4x}{(2x^{2}-1)^{2}}$
-
question given the function y = (5 - x^2)/(6 - 5x), find dy/dx in simpl…
$\frac{5x^{2}-12x + 25}{(6 - 5x)^{2}}$
-
given the function $f(x)=\frac{1 + 3x^{2}}{5x^{2}+3}$, find $f(x)$ in s…
$\frac{8x}{(5x^{2}+3)^{2}}$
-
for what purposes do politicians generally use the internet? select thr…
- To generate donations - To organize supporters - To solicit support
-
adam smith believed that fair prices for goods are determined in a capi…
A. through competition between businesses
-
28. $iint_{r} sin(9x^{2}+4y^{2})da$, where $r$ is the region in the fir…
For 28: $\frac{\pi}{24}(1 - \cos(1))$; for 29: $1$
-
a student is researching the chinese governments 1992 shift to a market…
A. Processing imports with inputs were greater than both ordinary imports and processing imports with assembly in 2006.
-
question 1 find (f^(-1))(-2) for f(x)=5x + 3. round your answer to two …
$0.20$
-
4.multiple - choice(5 points) medium what geometric shape approximates …
C. A circular sector (wedge) with radius \(r\) and angle \(d\theta\)
-
3.multiple - choice(5 points) medium when computing the area inside the…
B. Because the cardioid is symmetric about the x - axis, and integrating from 0 to \(\pi\) captures half the region
-
given the function $y = 3x^{-3}cos x$, find $\frac{dy}{dx}$ in any form.
$-\frac{3\sin x}{x^{3}}-\frac{9\cos x}{x^{4}}$
-
1.multiple - choice(5 points) medium what is the formula for the area a…
B. $A=\frac{1}{2}\int_{\alpha}^{\beta}[\varphi(\theta)]^{2}d\theta$
-
given the function $f(x)=x^{-1}cos x$, find $f(x)$ in any form. answer …
$-\frac{\cos x}{x^{2}}-\frac{\sin x}{x}$
-
given the function $f(x)=(x^{3}-3x + 5)cos x$, find $f(x)$ in any form.
$(3x^{2}-3)\cos x-(x^{3}-3x + 5)\sin x$
-
un efecto importante de la carta magna en el gobierno inglés fue que es…
# Breve Explicación: La Carta Magna (Magna Carta) en Inglaterra limitó el poder real y dio más derechos y protección a los nobles y ciertos derechos a los ciudadanos en general, d…
-
given the function f(x) = 3x^2 sin x, find f(x) in any form.
$6x\sin x + 3x^{2}\cos x$
-
given the function $y = sqrt4{16x}cos x$, find $\frac{dy}{dx}$ in any f…
$\frac{\cos x}{2x^{\frac{3}{4}}}-2x^{\frac{1}{4}}\sin x$
-
given the function f(x)=5x^3 cos x, find f(x) in any form.
$f'(x)=15x^{2}\cos x - 5x^{3}\sin x$
-
identify and estimate the x - and y - values of the extrema. round to t…
# Explicación: ## Paso 1: Identificar el máximo relativo Observamos la gráfica. El máximo relativo es el punto donde la curva cambia de creciente a decreciente. Mirando la gráfica…
-
the graph of the function f is shown below. if m is the slope of the li…
$m>0$
-
function logarithmic function: $f(x)=log x$ left end behavior (use limi…
- Intervals of increasing: $(0,\infty)$ - Intervals of decreasing: None - Left End Behavior: $\lim_{x\to0^{+}}\log x=-\infty$ - Right End Behavior: $\lim_{x\to\infty}\log x=\infty…
-
function exponential function: f(x)=a·b^x (use a = 1 and b = 2 to fill …
| Property | Value | |--|--| | Left End Behavior | \(\lim_{x\to-\infty}2^{x}=0\) | | Right End Behavior | \(\lim_{x\to+\infty}2^{x}=+\infty\) | | Horizontal Asymptote | \(y = 0\) …
-
select all that apply what are some of the basic principles of united s…
A. limited government and the rule of law B. separation of powers C. popular sovereignty E. republicanism
-
to earn all the points for this group project, the following needs to b…
There is no specific question asked in the provided text. It is mainly instructions for a group - project related task. So, no answer can be provided based on the current content.
-
this weeks group project is only partially with the group. the followin…
The derivative function is $f^\prime(x)=6x - 2$, and the equation of the tangent line to the graph of $f$ at $x = 1$ is $y=4x-13$.
-
let $y = \\frac{14cdot x + 10}{12cdot x^{2}+9cdot x + 7}$. find $\\frac…
$\frac{14(12x^{2}+9x + 7)-(14x + 10)(24x + 9)}{(12x^{2}+9x + 7)^{2}}$
-
let $y = \\frac{\\sin(x)}{(8 \\cdot x + 2)}$. find $\\frac{dy}{dx}$. $\…
$\frac{\cos(x)(8x + 2)-8\sin(x)}{(8x + 2)^{2}}$
-
if $y=(t^{2}+3t + 2)(3t^{2}+2)$, find $\frac{dy}{dt}$. $\frac{dy}{dt}=s…
$12t^{3}+27t^{2}+16t + 6$
-
given that $f(x)=x^{8}h(x)$ $h(-1)=3$ $h(-1)=6$ calculate $f(-1)$. hint…
$-18$
-
the graph of $f$, the derivative of a function $f$, is shown above. the…
B. $y = 4x - 1$
-
the graph of $f$, the derivative of a function $f$, is shown above. the…
$y-7=f^{\prime}(2)(x - 2)$
-
find the limits in a), b), and c) below for the function f(x) = \\frac{…
a) A. \(\lim_{x\to3^{-}}f(x)=-\infty\) b) A. \(\lim_{x\to3^{+}}f(x)=\infty\)
-
if f(x)=(-2x^2 + 2x + 7)cos(x), find f(x)=
$(-4x + 2)\cos(x)+(2x^{2}-2x - 7)\sin(x)$
-
find the limits in a) through c) below for the function f(x) = \\frac{x…
a) A. $\lim_{x ightarrow9^{-}}f(x)=13$ b) A. $\lim_{x ightarrow9^{+}}f(x)=13$
-
find the limits in a) through c) below for the function f(x) = \\frac{x…
A. $\lim_{x ightarrow9^{-}}f(x)=13$
-
find (a) the leading term of the polynomial, (b) the limit as x approac…
(A) \(-8x^{3}\) (B) \(-\infty\) (C) \(\infty\)
-
find each function value and limit. use - ∞ or ∞ where appropriate. f(x…
(A) $f(10)\approx1.362$ (B) $f(100)\approx1.215$ (C) $\lim_{x ightarrow\infty}f(x)=1.2$
-
question given the function $y = (-5 - 6x^{-1})(-1 + 10x^{-1}+9x^{2})$,…
$44x^{-2}-90x + 120x^{-3}-54$
-
the derivative of the function f is given by f(x)=-2x + 4 for all x, an…
D. $y = 6x+11$
-
4. during the first 6 months of your gdl, you are required to (a) drive…
4. A. Drive with a licensed driver over the age of 25. 5. Temporary permit 6. 16; 18 (or other appropriate age limits depending on jurisdiction) 7. D 8. Vision test 9. Law 10. Org…
-
find the horizontal and vertical asymptotes. f(x)=\\frac{9x^{2}+16}{x^{…
Horizontal asymptote: A. $y = 9$ Vertical asymptotes: $x=-4,x = 4$
-
find the horizontal and vertical asymptotes of f(x). f(x)=\frac{x^{6}}{…
B. There are no horizontal asymptotes.
-
describe the right end behavior of the function f(x) = (40x^7 + 3x^2)/(…
$\infty$
-
give a limit expression that describes the left end behavior of the fun…
A. $\lim_{x\to-\infty}\frac{9 + 5x+5x^{3}}{x^{3}}=5$
-
the system of the population of a culture of tumor cells is given by p(…
A. $\lim_{t ightarrow\infty}p(t)=3200$ A. A steady state for the given system is the value of $\lim_{t ightarrow\infty}p(t)$
-
the system of the population of a culture of tumor cells is given by p(…
A. $\lim_{t ightarrow\infty}p(t)=3200$
-
find each limit. use -∞ or ∞ when appropriate. f(x)=\\frac{7x - 7}{(x -…
(A) A. \(\lim_{x\to7^{-}}f(x)=\infty\) (B) \(\lim_{x\to7^{+}}f(x)=\infty\) (C) \(\lim_{x\to7}f(x)=\infty\)
-
find the limits in a) through c) below for the function (f(x)=\frac{x^{…
a) The question seems incomplete as the limit value for part a) is not clearly stated. b) A. $\lim_{x\to - 10^{+}}f(x)=\infty$ c) The limit does not exist and is neither $-\infty$…