微积分
极限、导数、最优化与函数性质。
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use lhospital to determine the following limit. use exact values. \\(\\…
\(\frac{1}{\ln5 - 1}\)
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solve the following exponential equation. express the solution set in t…
\(\{3.23\}\)
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use lhospital to determine the following limit. use exact values. \\(\\…
\(\frac{1}{\ln g - 1}\)
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exercises 4.8 lhôpitals rule score: 16/20 answered: 8/10 question 9 tex…
\(\frac{2}{3}\)
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evaluate the limit using lhospitals rule \\(\\lim_{x\\to 0} \\frac{10^x…
\(\ln(\frac{10}{13})\)
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evaluate the limit using lhopitals rule \\(\\lim_{x\\to\\infty} \\frac{…
\(0\)
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evaluate the limit using lhospitals rule \\(\\lim_{x\\to 0} \\frac{\\si…
\(\frac{7}{2}\)
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evaluate the limit using lhospitals rule if necessary \\(\\lim_{x\\to 0…
\(\frac{7}{2}\)
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which functions represent exponential growth? $y = f(x)$ $y = g(x)$ $y …
For "Which functions represent exponential growth?": \( y = f(x) \), \( y = g(x) \), \( y = k(x) \) For "Which functions have a horizontal asymptote?": \( y = f(x) \), \( y = g(x)…
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function y = b^x (0 < b < 1) the range of an exponential function is al…
First blank: decreasing; Second blank: no x - intercept
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begin by graphing f(x)= ln x. use transformations of this graph to grap…
s: Vertical Asymptote: \( \boldsymbol{x = -1} \) Domain: \( \boldsymbol{(-1, \infty)} \) Range: \( \boldsymbol{(-\infty, \infty)} \)
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what is sin(0)? answer: check
\( 0 \)
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the domain of an exponential function is all real numbers. the range of…
a horizontal asymptote (or "an increasing curve", or more precisely, for \( y = b^x(b>1) \), the graph has a horizontal asymptote (y = 0), is increasing, and has a y - intercept. …
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fill in the blank. the graph of ( g(x) = -log_{4} x ) is the graph of (…
x - axis.
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graphing exponential functions instruction active identifying character…
all positive real numbers (or \( y > 0 \) or \( (0, \infty) \))
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ln 7x = ln (21x + 14)
No solution
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evaluate the integral \\(\\int x \\sqrt3{36 + x^2} \\, dx\\). \\(\\int …
\(\frac{3}{8}(36 + x^{2})^{\frac{4}{3}}+C\)
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ln(x² - 1) + 2ln2 = ln(4x - 1)
$\frac{3}{2}$
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evaluate or simplify the expression without using a calculator. $e^{\\l…
\( 114 \)
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evaluate the expression without using a calculator. ln e^7 ln e^7 = \\s…
7
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fill in the blanks so that the resulting statement is true. using inter…
The domain is \((0, \infty)\) and the range is \((-\infty, \infty)\).
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evaluate the function graphically. find $f(4)$ answer attempt 1 out of 2
\(1\)
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find f(6) answer attempt 2 out of 2
\(0\)
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evaluate the function graphically. find ( f(-3) ) answer attempt 1 out …
\( f(-3)=-4 \)
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evaluate the function graphically. find ( f(0) )
\(-6\)
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evaluate the limit using lhospitals rule \\(\\lim\\limits_{x\\to 0} \\f…
\(\frac{1}{12}\)
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evaluate the function graphically. find ( f(1) )
\(5\)
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in which limits below can we use lhospitals rule? \\(\\square \\lim\\li…
All of the given limits \(\lim_{x ightarrow\pi/4}\frac{\sin(4x)}{4x - \pi}\), \(\lim_{x ightarrow0}\frac{1 - e^{x}}{\sin(3x)}\), \(\lim_{x ightarrow0}\frac{3x}{\cot x}\), \(\lim_{…
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evaluate the function graphically. find ( f(1) )
\( 5 \)
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evaluate the function graphically. find ( f(1) )
\(1\)
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evaluate the function graphically. find $f(-2)$
\( f(-2)=-1 \)
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answer attempt 2 out of 2 the function is decreasing on the interval -8…
The function is decreasing on the interval \(-8 < x < -2\), decreasing on the interval \(-2 < x < 1\), and increasing on the interval \(1 < x < 7\).
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the function f is graphed below. determine the intervals on which f is …
The function is decreasing on the interval \(- 8<x<-2\) (segment 1) and increasing on the interval \(-2 <x<1\) (segment 2).
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section 1 diagnostic write a response to the following question using t…
This is an academic writing task focused on literary analysis. To complete it: 1. Analyze setting, plot, and conflict in *The Book of Unknown Americans* (Chapters 1-3) and *The Wa…
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use the aleks calculator to evaluate each expre round your answers to t…
$\tan51^{\circ}=1.23$, $\cos22^{\circ}=0.93$, $\sin78^{\circ}=0.98$
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use a calculator with a \\( y^x \\) key or a \\( \\wedge \\) key to sol…
574
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how did the distribution of power in medieval england differ from that …
B. France did not develop an institution that could limit the power of the king.
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magna carta set england on a different path from france and other europ…
B. it limited the power of the English king (assuming the second option is labeled B; adjust identifier if needed, but the content is "it limited the power of the English king")
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approximate the number using a calculator. $6^{1.4}$ $6^{1.4} \\approx …
\(12.120\)
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find $f_{xy}(x,y)$ if $f(x,y)=e^{8xy^2}$. $f_{xy}(x,y)=\\square$
\( 16y e^{8xy^2}(1 + 8xy^2) \) (or expanded as \( 16y e^{8xy^2} + 128xy^3 e^{8xy^2} \))
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let $f(x,y)=3x^{2}+y^{2}-2x-6y + 4$. (a) find the minimum value of $f(x…
\(-\frac{13}{3}\)
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find all values of x and y such that $p_x(x,y) = 0$ and $p_y(x,y) = 0$ …
\( x = \boxed{8} \) and \( y=\boxed{4} \)
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find $f_{xx}(x,y)$, $f_{xy}(x,y)$, $f_{yx}(x,y)$, and $f_{yy}(x,y)$ for…
\( 2y e^{xy} + 2xy^2 e^{xy} \) (or \( 2y e^{xy}(2 + xy) \))
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find $f_{xx}(x,y)$, $f_{xy}(x,y)$, $f_{yx}(x,y)$, and $f_{yy}(x,y)$ for…
\( f_{yy}(x,y)=6x^{2} \)
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find $f_{xx}(x,y)$, $f_{xy}(x,y)$, $f_{yx}(x,y)$, and $f_{yy}(x,y)$ for…
\( f_{yx}(x,y)=12xy \)
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6.4 trinomials where a do (1 point) factor: $10x^4 + 3x^2 - 1 = \\squar…
\( (5x^2 - 1)(2x^2 + 1) \)
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the function $s(t,r) = 40(t - 50)(6 - r)$ gives an ice cream shops dail…
For \( S_{Tr}(90,5) \), the value is \(-40\) dollars per \( ^\circ\text{F} \) per inch. For the multiple - choice question, the correct option is C. Daily sales decrease at a rate…
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6.4 trinomials where a does n(1 point)results for this submissionthe an…
$(6x + 5)(x - 5)$
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6.4 trinomials where a doe (1 point) factor: $6x^2 - 25x - 25 = \\squar…
$(6z + 5)(z - 5)$
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6.4 trinomials where a does n (1 point) factor: $8x^2 + 14x + 5 = \\squ…
$(4x + 5)(2x + 1)$
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6.4 trinomials where a a (1 point) factor: 3x² - 7x - 6 = preview my an…
$(3x + 2)(x - 3)$
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6.4 trinomials where a does not ec (1 point) factor: $20x^2 + x - 1 = \…
$(5x - 1)(4x + 1)$
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6.4 trinomials where a do (1 point) factor: $4x^3 - 4x^2 - 24x =$ previ…
$4x(x - 3)(x + 2)$
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6.4 trinomials where a does n (1 point) factor: $3x^2 - 3x - 18 = \\squ…
$3(x - 3)(x + 2)$
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6.4 trinomials where a does (1 point) factor: $3x^2 + 12x + 9 = \\squar…
$3(x + 1)(x + 3)$
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the function $y = f(x)$ is graphed below. what is the average rate of c…
# Explanation: ## Step1: Recall the formula for average rate of change The average rate of change of a function \( f(x) \) on the interval \([a, b]\) is given by \(\frac{f(b) - f(…
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find the horizontal asymptote, if any, of the graph of the rational fun…
A. The horizontal asymptote is \( y = -\frac{2}{7} \)
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for the function below, find (a) the critical numbers; (b) the open int…
(a) B. There are no critical numbers. (b) B. The function is never increasing. (c) A. The function is decreasing on the interval(s) $(-\infty,-2)\cup(-2,\infty)$
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identify the graph of this rational function. y = 5/(x - 1)
The graph with a vertical asymptote at \(x = 1\) (the third graph in the given options) is the graph of the function \(y=\frac{5}{x - 1}\).
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for each problem, find the: x and y intercepts, x - coordinates of the …
- **\(x\) - intercepts**: \(x = 0\) and \(x = 3\) - **\(y\) - intercept**: \(y = 0\) - **Critical points**: \(x = 0\) and \(x = 2\) - **Intervals of increase**: \((0,2)\) - **Inte…
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factor: $4x^2 + 7x - 2 = \\square$ preview my answers submit answers yo…
$(4x - 1)(x + 2)$
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factor: $2x^2 + 5x + 2 = \\square$ preview my answers submit answers yo…
$(2x + 1)(x + 2)$
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factor the trinomial $7c^2 - 56c + 84 = (\\square) \\cdot (\\square)$ (…
$7(c - 2) \cdot (c - 6)$
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6.4 trinomials where a does not e (1 point) factor the trinomial $6x^2 …
$6(x+6)$, $(x+6)$
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question a researcher tracks a bacterial population in thousands of bac…
\(t\approx6.000\)
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the 3 points plotted below are on the graph of $y = \\log_{b} x$. based…
Los puntos \((0,1)\), \((1,4)\) y \((2,16)\) deben estar en la gráfica de \(y = b^{x}\).
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drag each tile to the correct location. match each description to the a…
| Theocracy | Democracy | |-----------|-----------| | an unlimited government that is based on religious laws | a limited government that is ruled by the will of the people | | ex…
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select the correct answer from each drop-down menu. the freedom of spee…
Britain
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select the correct answer from each drop - down menu. the freedom of □ …
freedom of speech; the United States; Germany
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select the correct answer from each drop-down menu. limited governments…
unlimited governments
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select the correct answer from each drop-down menu. limited governments…
basic
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select the correct answer from each drop - down menu. limited governmen…
Germany
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select the correct answer from each drop-down menu. drop - down 1 have …
1. limited governments 2. unlimited governments 3. protected (implied by context of rights like freedom of speech)
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the function $y = f(x)$ is graphed below. what is the average rate of c…
\(0\)
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the function $y = f(x)$ is graphed below. what is the average rate of c…
\( 0 \)
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you might need: calculator f(t) = \\begin{cases} t^2 - 5t , & t \\leq -…
\( 150 \)
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the graph of $f(x) = 3^x$ is reflected across the $x$-axis, shifted dow…
\(g(x)=-3^{x + 2}-7\); \(y -\)intercept: \((0,-16)\); Domain: \((-\infty,\infty)\); Range: \((-\infty,-7)\)
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the fox population in a certain region has a continuous growth rate of …
The function is \( f(t)=21100e^{0.09t} \) and the fox population in 2020 is approximately \( 43349 \).
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webwork / mt1303abd fa25 / hw 15 exponential functions 6.1 / 10 previou…
\(2.7667\)
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hw 15 exponential functions 6.1: prob (1 point) for the function $f(x) …
\(\frac{1}{64}\)
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(3 points) consider the equation $y = 4.81(e)^{-0.0745t}$, which is of …
The \(r\) value is \(-0.0745\). The type of change represented is exponential decay because \(r=-0.0745 < 0\).
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consider the equation $y = 4206(e)^{-0.23t}$, which is of the form $y =…
The \(r\) value is \(-0.23\). The type of change represented is exponential decay because \(r=-0.23 < 0\).
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(1 point) determine whether the following equation represents exponenti…
Neither
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if a person has a right that is stated in the constitution, that person…
B. other rights that are not mentioned.
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which best states the principle of limited government established by th…
Government can do only what the people give it authority to do.
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what is the purpose of quotas? ○ to ban all imports from a country ○ to…
to limit how much of a good can be imported
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what is the government’s aim in setting quotas? ○ to create more compet…
to increase sales of domestic goods
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determine whether the following statement is true or false. if the stat…
B. The statement is false. The correct statement is if \(\log(x + 3)=6\), then \(10^{6}=x + 3\).
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use common logarithms or natural logarithms and a calculator to evaluat…
-4.6671
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use common logarithms or natural logarithms and a calculator to evaluat…
# Explanation: ## Step1: Apply Change of Base Formula The change of base formula for logarithms is \(\log_{b}a=\frac{\log a}{\log b}\) (or \(\frac{\ln a}{\ln b}\)). For \(\log_{0.…
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use common logarithms or natural logarithms and a calculator to evaluat…
\(1.0557\)
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assignment #0.2 score: 1/7 1/7 answered question 7 find the domain, x -…
$(7, \infty)$
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use common logarithms or natural logarithms and a calculator to evaluat…
\(\frac{\ln 15}{\ln 13}\) (or \(\frac{\log 15}{\log 13}\))
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match the five definitions to their correct terms man of many accomplis…
1. Man of many accomplishments...: Leonardo Da Vinci 2. One of the greatest artists...: Michelangelo Simoni 3. Known as "the Bard"...: William Shakespeare 4. The "Prince of Painte…
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find an equation for the graph sketched below
$f(x)=\frac{1}{x}-1$
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given that \\(\\cos \\alpha = \\frac{1}{5}\\) and \\(0 < \\alpha < \\fr…
\(\frac{\sqrt{15}}{5}\)
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use a half-angle identity to find the exact value. cos 195° cos 195° = …
\(-\frac{\sqrt{6}+\sqrt{2}}{4}\)
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use a half-angle identity to find the exact value. cos 157.5° cos 157.5…
\(-\frac{\sqrt{2 + \sqrt{2}}}{2}\)
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write the expression as a sum or difference of trigonometric functions.…
\(3\cos x - 3\cos(5x)\)
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write the expression as a sum or difference of trigonometric functions.…
\(\sin156-\sin54\)