微積分
極限、導數、最優化與函數性質。
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question 7 of 16, step 1 of 1 indicate which of the following four grap…
The bottom - right graph (the fourth graph)
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reflection questions your friend just opened their first credit card. w…
Key advice includes: 1) Pay the full balance monthly to avoid interest. 2) Stay below 30% of the credit limit to build good credit. 3) Track spending to avoid overspending. 4) Und…
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a type of jurisdiction that state and local trial courts have is civil …
original jurisdiction.
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question find the minimum value of the function $f(x) = 1.4x^2 + 13x + …
\( -6.18 \)
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question find the maximum value of the function $f(x) = -1.8x^2 + 14.7x…
\( 3.01 \)
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follow the seven step strategy to graph the following rational function…
For \( x = -8 \): \(-\frac{2}{55}\) For \( x = -4 \): \(-\frac{2}{7}\) For \( x = 0 \): \(\frac{2}{9}\) For \( x = 4 \): \(-\frac{2}{7}\) For \( x = 8 \): \(-\frac{2}{55}\)
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follow the seven step strategy to graph the following rational function…
A. The equation(s) of the horizontal asymptote(s) is/are \( y = 0 \)
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find the maximum value of the function $f(x) = -0.6x^2 - 3.7x + 1$ to t…
\( 6.70 \)
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follow the seven step strategy to graph the following rational function…
B. There is no x - intercept. ### For vertical asymptote:
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follow the seven step strategy to graph the following rational function…
B. There is no x - intercept.
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follow the seven step strategy to graph the following rational function…
A. The y-intercept is \(\frac{2}{9}\)
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follow the seven step strategy to graph the following rational function…
B. y - axis symmetry
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follow the seven step strategy to graph the following rational function…
D. The graph of \( f(x)=\frac{3x}{x^2 - 4} \) (the fourth graph)
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follow the seven step strategy to graph the following rational function…
For \( x = -7 \): \( -\frac{7}{15} \) For \( x = -6 \): \( -\frac{9}{16} \) For \( x = -1 \): \( 1 \) For \( x = 1 \): \( -1 \) For \( x = 5 \): \( \frac{5}{7} \) For \( x = 6 \):…
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given \\( \\sec \\theta = \\frac{\\sqrt{37}}{6} \\) and \\( \\theta \\)…
\(\sin = -\frac{\sqrt{37}}{37}\) \(\cos = \frac{6\sqrt{37}}{37}\) \(\tan = -\frac{1}{6}\) \(\csc = -\sqrt{37}\) \(\cot = -6\)
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follow the seven step strategy to graph the following rational function…
A. The equation(s) of the horizontal asymptote(s) is/are \( y = 0 \)
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follow the seven step strategy to graph the following rational function…
The equation(s) of the vertical asymptote(s) is/are \( x = - 2,x = 2 \)
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kenton is a busy insurance salesperson, yet twice a month he writes a c…
attract prospects without having to go out and prospect.
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11. $k(x)=\\begin{cases}x + 4&\\text{if }x < -1\\\\5&\\text{if }-1 < x …
\(D = (-\infty,-1)\cup(-1,\infty)\) \(R=(-\infty,3)\cup\{5\}\)
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follow the seven step strategy to graph the following rational function…
- x - intercept: \( 0 \) - Vertical asymptotes: \( x = 2,x=-2 \)
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follow the seven step strategy to graph the following rational function…
A. The x - intercept(s) is \(0\)
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follow the seven step strategy to graph the following rational function…
A. The y - intercept is \(0\)
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follow the seven step strategy to graph the following rational function…
origin symmetry
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physical features include: andres moutains, amazon rainforest, pampas t…
1. The Andes Mountains is the longest mountain range in the world. 2. The Amazon River is the longest river in South America and the second longest river in the world. 3. Most peo…
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ed got a new scented candle for his room. the height of the candle chan…
The height of the candle decreases by 1 inch per hour.
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fill in the blank so that the resulting statement is true. based on the…
\( y = 5x + 13 \)
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select the correct choices that completes the sentence below. if the gr…
First blank: a horizontal asymptote; Second blank: \( y = 0 \); Third blank: \( y=\frac{1}{3} \)
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select the correct choices that completes the sentence below. if the gr…
First blank: a vertical asymptote; Second blank: \( x = -2 \)
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# 3 region r is bounded by the lines y = 4, x = 1, x = 6 and the x-axis…
The volume of the solid formed by rotating Region R about the \( x \)-axis is \( \boldsymbol{80\pi} \) (or approximately \( 251.33 \) if a decimal approximation is needed).
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choose the function represented by this graph: select one: a. $f(x) = \…
b. $f(x) = \frac{x^2 -10x +1}{x+2}$
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use the graph of f and g to evaluate the functions a. $(f + g)(7)$ b. $…
0 -3 -1 4
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graph the following rational function. $f(x) = \\frac{-x - 4}{x^2 - 36}…
To sketch the graph of \( f(x)=\frac{-x - 4}{x^{2}-36} \): - In the interval \( (-\infty,-6) \), use the second shape in the first row (the curve that approaches \( 0^{+} \) as \(…
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function a and function b are linear functions. function a $y = 4x - 2$…
The y-value of Function A when x = 1 is greater than the y-value of Function B when x = 1.
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question 5 of 10, step 2 of 3 graph the following rational function. $f…
One (and the horizontal asymptote is \( y = 0 \), which is the x - axis, so we would plot the x - axis as the horizontal asymptote)
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question 5 of 10, step 1 of 3 graph the following rational function. $f…
Two (and then plot the lines \(x = 6\) and \(x=-6\) on the graph)
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find equations for the vertical asymptotes, if any, for the following r…
\( x = -7 \)
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question 14. (5 marks) find all the solutions of the followi 2\\cos(x)\…
The solutions of the equation \(2\cos(x)\sin(x)-\sin(x) = 0\) are \(x=n\pi\) or \(x = 2n\pi\pm\frac{\pi}{3}\), where \(n\in\mathbb{Z}\)
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find equations for the vertical asymptotes, if any, for the following r…
none
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the annual total revenue for a product is given by $r(x) = 72,000x - 9x…
4000 144000000
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find equations for the vertical asymptotes, if any, for the following r…
\( x = 7 \)
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question 10. (5 marks) verify the identity: (2sinx - 2cosx)^2 + 4sin2x …
The identity \((2\sin x - 2\cos x)^2 + 4\sin2x=4\) is verified.
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read this excerpt from a passage. \ill never forget that saturday as lo…
D. first person
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which of the following best matches how each side of the american civil…
The Union fought for Positive Liberty; The Confederacy fought for Negative Liberty (assuming this is one of the options, likely the first option in the list) ### Question 17
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what is the value of \\(\\log_{0.5} 16\\)? \\(\\circ\\) \\(-4.00\\) \\(…
-4.00
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use the graph of the rational function to complete the following statem…
\( 0 \)
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what is the solution to $4 + 5e^{x + 2} = 11$? $\\bigcirc\\ x = \\ln\\f…
\(x = \ln 35 - 2\) (the third option, e.g., C. \(x = \ln 35 - 2\))
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graph the function $h(x)=-dfrac{1}{2}x + 2$.
Plot the points \((0,2)\) and \((2,1)\) and draw a straight line through them to graph \(h(x)=-\frac{1}{2}x + 2\)
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use the graph of the rational function to complete the following statem…
\( -\infty \)
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question the function $f(x)$ is graphed below. what is true about the g…
It is positive and increasing
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question the given function f(x) is defined on the interval (-9, 9) and…
\(-2\)
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solve the initial value problem. $y + 16y + 64y = 0$, $y(0) = 3$, $y(0)…
\(y(x)=(3 - x)e^{-8x}\)
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give approximate answer to two decimal places. evaluate \\(\\dfrac{79.5…
71.91
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for the function $f(x) = \\sqrt{x^2 + 100}$, find $f(x)$. then find $f(…
First derivative \( f'(x) = \frac{x}{\sqrt{x^2 + 100}} \); Second derivative \( f''(x) = \frac{100}{(x^2 + 100)^{3/2}} \); \( f''(0) = 0.1 \); \( f''(9) = \frac{100}{181\sqrt{181}…
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for the function $f(x) = 6x^5 - 5x^4 + 4x^3 + 8x^2 + 1$, find $f(x)$, t…
$f'''(x) = 360x^2 -120x +24$ $f^{(4)}(x) = 720x -120$
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8. evaluate $0.01^{\\log_{10}(2)}$ 9. expand as sums and differences $\…
\( x = 5 \)
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when you calculate \\( \\ln(10) \\), you would be finding the value of …
\(\log_{e}(10)\)
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exponential and logarithmic functions progress the progress of the prob…
\(512\)
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which function is represented by the graph below? $f(x) = \\log_{0.5}x$…
\(f(x)=\log_{0.5}x\)
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identify the point with the given polar coordinates. \\(\\left(-2,\\fra…
C
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14. which of the following terms best describes a scenario where citize…
14. initiatives 15. Power is not completely separated, allowing each branch to limit the other branches’ exercise of power
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derivatives of transcendentals 4 sinusoidals, exponentials, logs 1, 1, …
For \( \boldsymbol{e^x} \): First derivative \( \boldsymbol{e^x} \), Second derivative \( \boldsymbol{e^x} \) For \( \boldsymbol{e^{2x}} \): First derivative \( \boldsymbol{2e^{2x…
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7.(7 pts.) the equation of the tangent line to $y = \\sin(x^2) + 1$ at …
(c) \(y = 2\)
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6.(7 pts.) if the cost function for producing ( x ) items is given by (…
(e) 12 dollars per item.
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5.(7 pts.) compute \\( \\lim_{x \\to 0} \\frac{\\sin(7x)}{\\sin(5x)} \\…
(a) \(\boldsymbol{\frac{7}{5}}\)
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what is the grace period on a credit card? the time to report a lost or…
The time to pay off your credit card balance without incurring interest charges
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what happens if you dont pay at least the minimum payment on your credi…
You are charged a late payment fee
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2.(7 pts.) for what value a is the function f given by $f(t) = \\begin{…
(b) \(a = \frac{1}{4}\)
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81) use the given graphs of f and g to evaluate each expression, or exp…
\(\ln8\)（或\(3\ln2\)）
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how do checking and savings accounts differ? checking accounts earn hig…
Savings accounts focus on long-term savings goals.
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v. functions and models 70) the graphs of f and g are given. a) state t…
f(-4) = 2，g(3) = 2。 （注：以上是针对70题a小问的解答，若需要解答其他小问或其他题目，请提供具体问题。）
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ii. graphing and functions a. linear graphs: 20) passes through the poi…
直线方程为\(y = -\frac{1}{3}x-\frac{1}{3}\)（或\(x + 3y + 1 = 0\)）
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which college student is most likely to experience shifts in moral reas…
Garvan, who is taking a philosophy course
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find the vertical asymptotes, if any, and the values of x corresponding…
B. The vertical asymptote(s) is(are) \( x = 0, x=-1 \). There are no holes.
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use the graph of the rational function to complete the following statem…
\(0\)
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use the graph of the rational function to complete the following statem…
\(0\)
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use the graph of the rational function to complete the following statem…
\(-\infty\)
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how are direct subsidized and direct unsubsidized loans different? ○ su…
Subsidized loans are based on financial need, and unsubsidized loans are not.
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use the graph of the rational function to complete the following statem…
\( -\infty \)
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use the graph of the rational function to complete the following statem…
\(+\infty\) (or "positive infinity")
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consider the functions f and g in the tables below. \\( f(x) = 90x^2 + …
C. As \( x \) increases, the rate of change of \( g \) exceeds the rate of change of \( f \).
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select the correct answer. consider the functions f and g in the tables…
C. As x increases, the rate of change of g exceeds the rate of change of f.
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question 2 the minimum point on the graph of the equation ( y = f(x) ) …
1. \((-1,2)\)
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question 5 the scenic designer works closely with the technical directo…
D. all of the above
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type the correct answer in each box. use numerals instead of words. if …
For \(-3\leq x<-1\): \(x + 3\) For \(-1\leq x\leq1\): \(5\)
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consider the following equation. $5^{(-x)} + 7 = 2x + 4$ approximate th…
D. \(x=\frac{25}{16}\)
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f(x) = -x³ - 21x² - 145x - 335; g(x) = -3x⁴ - 15x³ - 18x²; k(x) = 2x⁴ +…
The graph corresponding to \( h(x)=x^{3}+21x^{2}+147x + 343 \) is the bottom - left graph (the graph below the \( h(x) \) equation box).
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for each problem, find the: x and y intercepts, x-coordinates of the cr…
Intercepts: $(0,0)$, $(3,0)$ Critical points: $x=0,2$ Increasing: $(0,2)$; Decreasing: $(-\infty,0)\cup(2,\infty)$ Relative min at $x=0$, relative max at $x=2$ Inflection point: $…
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find the divergence of each of the following vector fields at all point…
(a) $0$ (b) $5y e^{xy} - 4x\sin(xy)$ (c) $8x - \cos(xz)(x + z)$
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graph the exponential function y = -3^x identify the graph of the funct…
C. The graph with y-intercept near 1, decaying for positive x, rising for negative x.
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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.
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what characterized u.s. immigration policies prior to the 1965 immigrat…
B. They favored European immigrants, discriminating against everyone else.
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ongoing challenges: while the constitution laid the groundwork for equa…
A. to protect individual freedoms and prevent government overreach
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what was the main reason that most people in ancient times had limited …
A. They lived in small, isolated communities and did not travel far from home.
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5. $f(x)=\\begin{cases}x + 1 & \\text{if} & x < 0 \\\\ -x + 1 & \\text{…
a. x = -1, 1 b. -3
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a composite function can be written as $w(u(x))$, where $u$ and $w$ are…
B. \( g \) is composite. The "inner" function is \( 2x + 1 \) and the "outer" function is \( x^4 \).
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geogebra.org/lti/launch move the two points to define an exponential fu…
\( 2^{(x+3)/4} \) (or equivalent form like \( \sqrt[4]{8} \cdot \sqrt[4]{2}^x \))
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choose the best transition. the governor asked the people of her state …
As a result
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a composite function can be written as $w(u(x))$, where $u$ and $w$ are…
A. \( f \) is composite. \( u(x) = \tan(x) \) and \( w(x) = x^4 \).
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a composite function can be written as w(u(x)), where u and w are basic…
B. \( f \) is composite. The "inner" function is \( x - 7 \) and the "outer" function is \( e^{x} \).
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4. in your opinion, what was the biggest disadvantage or limitation of …
Many reforms did not fully address racial discrimination and segregation.