微积分
极限、导数、最优化与函数性质。
-
7. solve $e^{3x}=48$options:1.6191.4521.3371.290clear all
1.290
-
question 5 1 pts the 14th amendment guarantees due process, which means…
someone's life, liberty, or property
-
find the slope of the line passing through the pairs of points and desc…
1. For points (-1, 2), (-1, -5): Undefined slope, vertical (undefined direction) For points (-1, 0), (3, -5): Slope = $\frac{-5}{4}$, falling 2. Pair 1: $y=\frac{5}{6}x - 6$ and $…
-
thinking back add. 1. $\\begin{aligned} 46\\\\ +\\ 89\\end{aligned}$ 2.…
1. 135 2. 560 3. 23.33 4. 2,482.783 5. 30 6. 43 7. 59 8. 318 9. 15 10. 124 11. 265 12. 7,896 13. 3.189 14. 13.41 15. 218.114 16. 25.6 17. 403,604 18. 7,343,490 19. 17,328,626 20. …
-
review: oregon dispute oregon country was jointly controlled by ______ …
### Oregon Dispute 1. Oregon Country was jointly controlled by **Britain** and the **United States (US)**. 2. Britain and the US disagreed on the **border of the territory**. 3. *…
-
13. given $f(x) = 3x^2 - 2x$ and $g(x) = 5x - 7$. complete the followin…
$f \circ g(x) = 75x^2 - 220x + 161$ Domain: All real numbers ($\mathbb{R}$) --- ### Part b: $\frac{g}{f}(x)$
-
divide the following by using short division. use multiplication to che…
B. The quotient is 7009 with no remainder.
-
use the graphs of f(x) and g(x) to determine $f(g(2)) =$ hint: first de…
$-4$
-
if $g(x) = 2x$, and $h(x) = x^2$ $(h \\circ g)(x) =$ $\\bigcirc 2x^2$ $…
○ $4x^2$
-
divide the following by using short division. u $\\overline{7)6936}$ se…
A. The quotient is 990 R 6.
-
if $f(x) = 4x + 3$ and $g(x) = 2x - 1$, to find $(g \\circ f)(6)$ quest…
$(g \circ f)(6) = 53$ $h(f(-5)) = 4$
-
2. the following function $f(x)=e^{x}$ was transformed to form $g(x)=2e…
The graph of $f(x)$ was **vertically stretched** by a factor of 2, shifted 3 units **to the right**, and shifted 7 units **down** to create the graph of $g(x)$.
-
compute: $-2 + 12 - 3 - 8$
$-1$
-
compute. $6+2-9-4+10$
5
-
compute. $1-4+9$
6
-
topic 4 review 1. write an example of an exponential function? answers …
1. $y = 3^x$ (any valid exponential function is acceptable) 2. Exponential Decay 3. Y-intercept: $(0,1)$; Horizontal Asymptote: $y=0$ 4. b. | x | -2 | -1 | 0 | 1 | 2 | |---|----|-…
-
which transformation(s) were applied to $f(x)$ to create each of the fu…
$g(x)=3(10)^x+\frac{1}{2}$: vertical stretch, translation up $h(x)=0.9(10)^x$: vertical compression $j(x)=10^x-8$: translation down $m(x)=1.7(10)^x$: vertical stretch
-
find $(f + g)(x)$, $(f - g)(x)$, $(f\\cdot g)(x)$ and $(f/g)(x)$ for $f…
$(f+g)(x) = x^2 + x + 3$ $(f-g)(x) = x^2 - x - 3$ $(f\bullet g)(x) = x^3 + 3x^2$ $(f/g)(x) = \frac{x^2}{x + 3}, \ x eq -3$
-
which graph shows a function whose inverse is also a function?
The top graph (with \(f(x)\) and \(f^{-1}(x)\) as the curved and straight increasing lines)
-
describing a combined function the functions $f(x)$ and $g(x)$ are comb…
- domain: $x > -2$ - The point $(8, 5)$ is on $h(x)$. - The point $(-1, 0)$ is on $h(x)$.
-
find the value of k or h in each of the graphs. 6. $g(x)=3^x + k$ $f(x)…
For problem 6: $k=2$ For problem 7: $h=1$
-
graph the system of equations.$y=\\frac{4}{5}x+1$$y=-\\frac{1}{5}x+6$
The correct graph is the lower one (the second grid with lines intersecting at (5, 3) is incorrect; the valid graph has $y=\frac{4}{5}x+1$ crossing the y-axis at (0,1) and $y=-\fr…
-
question 12 of 15 the functions s and t are defined as follows. $s(x)=-…
Question 12: $33$ Question 13: $f(x)=x^5$, $g(x)=7x-8$ (one valid pair) Question 14: $(q \circ r)(-5)=64$, $(r \circ q)(-5)=56$ Question 15: $(w \circ u)(4)=36$, $(u \circ w)(4)=-…
-
3 read the sentence. the recent excess of rain caused significant issue…
C. going beyond the normal limits
-
which graph represents the situation $h(x) = f(x) - g(x)$?
The third graph (with the downward-sloping $h(x)$ line passing through $(0,1)$ and $(1,0)$)
-
3 drag each tile to the correct box. match the treaty to its descriptio…
- agreement between Israel and Egypt to foster peace in the Middle East → Camp David Accords - brought the Iran Hostage Crisis to an end → Algiers Accords - groundbreaking treaty …
-
question 10 of 15 two functions g and f are defined in the figure below…
--- ## Question 10 (a) Domain of $f\circ g$: $\{2, 4, 6, 8\}$ (b) Range of $f\circ g$: $\{0, 6, 7, 8\}$ --- ## Question 11 $(g\circ h)(x) = \frac{4x-15}{4x-12}$ Domain of $g\circ …
-
compare the graph of each function to the graph of $f(x) = 2^x$.1. $g(x…
1. The graph of $g(x)=2^x + 1$ is the graph of $f(x)=2^x$ shifted **1 unit upward**. 2. The graph of $p(x)=2^{x-1}$ is the graph of $f(x)=2^x$ shifted **1 unit to the right**. 3. …
-
5/5 what is the inverse operation of addition? addition multiplication …
Subtraction
-
how does a command economic system impact personal financial choice?○ i…
1. It limits personal financial freedom. 2. Communism
-
question 3 of 15 for the real-valued functions $f(x)=x^{2}+2$ and $g(x)…
$(f \circ g)(x) = x^4 + 8x^2 + 18$ Domain of $f \circ g$: $(-\infty, \infty)$ --- ### Question 4
-
11. given the function: $f(x)=2x(x + 3)(x - 2).$ a. find its x-intercep…
a. x-intercepts: $x=-3$, $x=0$, $x=2$ b. As $x\to+\infty$, $f(x)\to+\infty$; As $x\to-\infty$, $f(x)\to-\infty$ c. y-intercept: $(0, 0)$ d. Completed table: | $x$ | $-4$ | $-3$ | …
-
5. if the maximum weight limit for an elevator is 2500 pounds, which in…
a. $W \leq 2500$
-
which statement correctly explains whether the equation $y = x^2 - 2$ r…
B. It is a function because there is only one y-value for each x-value.
-
select the correct answer. which statement describes a reason why some …
C. They wanted to take a more confrontational approach to opposing communism.
-
which statement correctly explains whether the equation $y = x^2 - 2$ r…
C. It is a function because there is only one y-value for each x-value.
-
what effect do these kinds of adaptive ski programs have on the people …
B. They feel encouraged to try other things.
-
suppose that the functions $s$ and $t$ are defined for all real numbers…
$(s-t)(x) = x^2 - 3x^3$ $(s \cdot t)(x) = 3x^5$ $(s+t)(-2) = -20$
-
question condense the logarithm: $8\\log c - x\\log a$
$\log\frac{c^8}{a^x}$
-
name date period 5) graph $f(x) = (x - 1)^3 + 3$ 6) the graph of $f(x)$…
5) The graph has a critical point at $(1,3)$, passes through $(0,2)$, $(2,4)$, $(-1,-5)$, matching the shape of $y=x^3$ shifted right 1 and up 3 (matches the provided graph). 6) $…
-
analyzing the slopes and intercepts, which condition below suggests a n…
a. Identical slopes and different y-intercepts
-
how are the religions of islam, christianity and judaism all connected …
Islam, Christianity, and Judaism are connected as Abrahamic monotheistic religions: they all worship a single all-powerful God, trace their spiritual roots to the patriarch Abraha…
-
8/10 how can you verify that two different-looking function definitions…
By algebraic manipulation By graphing the functions
-
in this section, youll solve word problems by applying regrouping to su…
To find the difference by regrouping, borrow 1 thousand, regrouping 10 hundreds; borrow 1 hundred, regrouping 10 tens; and borrow 1 ten, regrouping 10 ones.
-
in this section, youll solve word problems by applying regrouping to ad…
B. Mya regrouped 1 instead of 10 into the tens place and regrouped 10 instead of 100 into the hundreds place.
-
8. a polynomial function has single roots at $x=-4$ and $x=6$, and a tr…
$P(x) = \frac{2}{3}(x+4)(x-6)(x-1)^3$ (Expanded form optional: $P(x)=\frac{2}{3}x^5 - \frac{8}{3}x^4 - \frac{34}{3}x^3 + \frac{116}{3}x^2 - 20x - 48$)
-
which sentence contains a verb used in the imperative mood?○ linda aske…
D. Think about the consequences of choosing that research topic.
-
question 14 (3 points) what did the espionage and sedition acts limit d…
d. Freedom of Speech
-
graph the function $f(x) = -3\\log_{4}(-x + 2) + 7$ on the axes below. …
Asymptote: Vertical, $x=2$ Points to plot: $(1, 7)$ and $(-2, 4)$
-
graph the function $f(x) = -3\\log_{4}(-x + 2) + 7$ on the axes below. …
Asymptote: Vertical, $x=2$ Points to plot: $(1, 7)$ and $(-2, 4)$
-
question solve for the exact value of $x$. $4\\ln(4x - 3) + 8 = 16$ ans…
$x = \frac{e^2 + 3}{4}$
-
simplifying radicals review name: aliyah washington simplify each radic…
1. $7$ 2. $8\sqrt{3}$ 3. $72$ 4. $35\sqrt{7}$
-
to ensure that you and mya clearly understand your budget, you schedule…
The digit 2 in the ten thousands place keeps the purchase price of the car within the budget.
-
the function $f(x)$ is defined below. what is the end behavior of $f(x)…
as $x \to \infty, f(x) \to \infty$ and as $x \to -\infty, f(x) \to \infty$
-
question 4. determine the simplified expression equivalent to $5\\sqrt{…
The simplified expression is $60\sqrt{2}$, so the top box is filled with 60 and the bottom box under the radical is filled with 2.
-
the function $f(x)$ is defined below. what is the end behavior of $f(x)…
as $x \to \infty, f(x) \to \infty$ and as $x \to -\infty, f(x) \to \infty$
-
select the correct answer. what is the range of this function? a. $4 \\…
D. $-\infty < y \leq 4$
-
$\\ln(z) = 8.812$ $z = $
$z \approx 6703.93$ (or exactly $e^{8.812}$)
-
$7.1663 = 5\\ln(y)$ $1.4333 = \\ln(y)$ $y = \\square$
$y \approx 4.19$
-
name: _______________ properties of logarithms: matching directions: ma…
1. E. $4\log x - \log y$ 2. B. $\log5 + \log x + \log y$ 3. Q. $\log3 + 3\log2$ 4. O. $\log6 + \log11$ 5. F. $4\log2 - \log5$ 6. G. $\log x + \log y + 2\log z$ 7. A. $5(\log6 - \l…
-
$e^{w} = 960,464.9826$ $w = $
$13.775$ (rounded to three decimal places; exact calculated value is approximately $13.77500001$)
-
select the correct answers from each dropdown.consider this polynomial,…
Braulio $\boldsymbol{did\ not}$ found the value of $a$ because he $\boldsymbol{used\ the\ wrong\ root\ (1\ instead\ of\ -1)}$ Zahra $\boldsymbol{did}$ found the value of $a$ becau…
-
$\\ln(w)=8.2219$ $w=$
$3740.0$ (or approximately $3740$; more precisely, $e^{8.2219}\approx3740$)
-
question video examples the graph of $y = f(x)$ is shown below. accordi…
-7
-
values that make an inequality true (mquestionvideo exampleswhich inequ…
B. $-m + 3.5 \leq 8$
-
select the correct answer.this table represents values of a cubic polyn…
B. The function is increasing on the interval [-2, 1].
-
topic: graphing systems of linear equations progress match each system …
- $y=2x+3$ and $x+y=-3$ → consistent - $3y=9x-6$ and $3y-6x=4$ → consistent - $y=-\frac{1}{2}x+2$ and $x+2y=4$ → dependent (Note: The "inconsistent" and "independent" labels have …
-
select the correct answer. which equation could possibly represent the …
A. $f(x) = (x - 4)(x + 2)(x + 4)$
-
read the excerpt from obamas second inaugural address. this generation …
to inspire the American people to collectively work toward a better future
-
select the correct ordered pairs in the table consider the function bel…
$(-4, -12)$, $(1, -2)$, $(2, -18)$
-
evaluate $f(2)$ from the graph.
$\frac{12}{5}$ or $2.4$
-
consider function f:$f(x) = x^3 + 2x^2 - 5x - 6$select the locations of…
1. Zeros locations: $(-3, 0)$, $(-1, 0)$, $(2, 0)$ 2. End behavior: - As $x$ approaches positive infinity, $f(x)$ approaches positive infinity - As $x$ approaches negative infinit…
-
evaluate $f(2)$ from the graph.
$\frac{12}{5}$ or $2.4$
-
does the function $f(x)=0.7e^{0.64x}$ represent continuous growth, cont…
The function represents continuous growth because $r > 0$.
-
an oil tank is being drained for cleaning. after $t$ minutes there are …
a. $V(25)$ represents the volume of oil left in the tank after 25 minutes, which is 0 litres (the tank is fully drained). b. $\frac{3500-21875}{15}=-1225$ litres per minute c. $-7…
-
question 4 of 5 select all the correct locations on the graph. consider…
The common zeros are $x=-3$, $x=-1$, and $x=1$ (the points $(-3,0)$, $(-1,0)$, and $(1,0)$ on the graph of $g$)
-
select the correct answer. what is the set of x-intercepts of this grap…
(-3, 0), (-1, 0), (3, 0)
-
which statement is true about the point (2,0)○ it is a relative minimum…
It is a relative minimum and an x-intercept.
-
select the correct answer. what is the domain of the function shown on …
$(-\infty, \infty)$
-
which pair(s) of expressions are equal in value? check all that apply.$…
$\boldsymbol{\lfloor 4.9 floor \text{ and } \lceil 3.1 ceil}$ $\boldsymbol{\lfloor -6 floor \text{ and } \lceil -6 ceil}$
-
to ensure that you and mya clearly understand your budget, you schedule…
The digit 2 in the ten thousands place keeps the purchase price of the car within the budget.
-
add: -3 + -3 = submit
$-6$
-
add: 2 + -3 = □ submit
$-1$
-
7. ¿por qué es importante que un objetivo esté \limitado en el tiempo\?…
7. A) Proporciona motivación al establecer una fecha límite. 8. Ninguna de las opciones presentadas es un objetivo INTELIGENTE, ya que son vagas y no cumplen con los criterios de …
-
q3 - accelerated mathematics gr 8 | guided notes: identifying character…
1. degree 2. coefficients 3. roots (or zeros) 4. y-intercept 5. quadratic 6. leading coefficient 7. change 8. monomial
-
a. (1,1) b. (0,-2) c. (3,1) d. (2,2)
D. (2,2)
-
4. draw inferences in an upcoming campaign, two candidates want to run …
1. Question 4: Candidate A's candidacy might be questioned based on the U.S. Constitution's Article II, Section 1 requirement that a presidential candidate must have been a reside…
-
use the drawing tool(s) to form the correct answers on the provided gra…
- Vertex: $(-1, -4)$ - X-intercepts: $(1, 0)$ and $(-3, 0)$ - Y-intercept: $(0, -3)$ - Axis of symmetry: Vertical line $x=-1$
-
replace the values b, c, and d to write function $f$. $f(x)=(x-b)(x-c)^…
$f(x)=(x+1)(x-2)^2(x-4)^3$
-
nadia has 4-meter logs. help her cross each pool. last, nadia crosses a…
$3\frac{1}{4}$
-
select the correct answer:which equation could represent this graphed c…
C. $f(x)=(x+2)^2(x-1)$
-
the protesters staged a sit-in outside the mayors office, chanting that…
4. Passage 1 reports that a committee is looking into the insurance issue while Passage 2 states that the cost of insurance is a problem that cannot be solved.
-
name:38. what happens when an organism exceeds carrying capacity?a. mem…
38. c. negative checks like famine reduce population 39. c. education 40. a. climate refugees 41. a. Canada, d. United States 42. a. voluntary migration 43. c. Catholic nations 44…
-
govt describe the structure of the constitution. what is the purpose of…
1. The U.S. Constitution has three core parts: - Preamble: A concise statement of the document's foundational goals. - 7 Articles: Lay out the structure, powers, and limits of the…
-
the magna carta (1215) is important because it established the idea tha…
The law is above the king and guarantees rights
-
determine all intervals on which the graph of $f$ is increasing. graph …
$(-8, -4) \cup (-2, 1) \cup (3, 6)$
-
$\\log_{128} 32$
$\frac{5}{7}$
-
which statement describes the supreme courts decision in roe v. wade? i…
It ruled that women's right to abortion was rooted in the language of the Constitution and the Bill of Rights.
-
multiple choice listen which answer choices best characterize roosevelt…
A. Reduce U.S. interference in other territories B. Increase U.S. influence in the western hemisphere D. Promote diplomacy and trade with other nations
-
the city of mcallen, tx is seeking proposals to help develop the city s…
## Part I: Identified Issues - **Suburban Sprawl & Farmland Loss:** McAllen has lost 12% of its surrounding farmland to unplanned suburban development since 2018 (Rio Grande Guard…