微積分
極限、導數、最優化與函數性質。
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question 1 of 15, step 1 of 1 write the following equation in logarithm…
\(\log_{17}(G)=5\)
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9. (5 points) if $g(x) = \\sin(x)$, find $g^{(33)}(x)$.
\( \cos(x) \)
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39. modeling real life the estimated population of sumatran tigers can …
Your friend is not correct. The function \( f(x)=(x - 1)(x - 2)(x + 12) \) is a cubic function (degree 3) when expanded, while a parabola is a quadratic function (degree 2). So th…
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y.3 use dictionary entries to determine correct usage bgx look at this …
Monica was sanguine about her chances in the mayoral race since her competitors had limited political experience.
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is the function n(x) = 2x⁵ + x³ even, odd, or neither? even odd neither
odd
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2. write the equation and draw the graph of the function if the parent …
\( f(x) = -3(x + 4)^3 + 1 \)
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is the function r(x) = 2x⁴ - 16x² + 8x even, odd, or neither? even odd …
neither
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question 9 - 1 point what is the equation of the linear function whose …
\( f(x) = \frac{2}{5}x - 3 \)
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s = 67 (round to four decimal places as needed.) sin s = (round to four…
$ \sin s \approx -0.8555 $, $ \cos s \approx -0.5173 $, and the angle is in Quadrant III (Option D).
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write the equation of this line in slope-intercept form. write your ans…
\(y =-\frac{3}{4}x - 7\)
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9. (5 points) if $g(x) = \\sin(x)$, find $g^{(33)}(x)$.
$\cos(x)$
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question 4 - 1 point which of the following graphs shows a function? se…
The bottom graph (the parabola - shaped one)
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which state level trial court is less formal and does not keep written …
A. Courts of limited jurisdiction
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(see example 4.) 27. $f(x) = 4x - 9 - x^3$ 28.
The graph of \( f(x)=4x - 9 - x^{3}=-x^{3}+4x - 9 \) is a cubic curve with the properties and key points as analyzed above, and can be sketched on the given grid using the steps o…
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exit slip defend or critique the supreme courts limitation of free spee…
(Example of a defend - oriented answer) The Supreme Court's limitation of free speech in wartime in *Schenck v. United States* can be defended. During wartime, the nation's securi…
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multiply. 123 × 3 = □
369
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davids family is taking a road trip to niagara falls. his mom drove the…
The equation is \( D=\boxed{50}t+\boxed{300} \). David's dad is driving 50 miles per hour. This speed is represented by the slope. The distance David's mom drove is represented by…
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multiply. 175 × 8 = □
1400
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13. sketch a parabola with an axis of symmetry x = -1, y-intercept 1, a…
The vertex form of the equation \( y = 2x^2 + 32x - 2 \) is \( y = 2(x + 8)^2 - 130 \).
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multiply. 150 × 2 = □
300
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end of packet 3-2-1 three things learned about systems of exponential e…
### Three things learned about systems of exponential equations/functions: 1. Exponential systems can model real - world growth/decay scenarios (such as population growth or finan…
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use polynomial long division to rewrite the following fraction in the f…
\(x^2 - 3x + 7+\frac{0}{2x + 2}\)
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a line intersects the points (8, -10) and (9, 4). what is the slope of …
14
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a hot air balloon rose at a constant rate. after 3 minutes, the balloon…
13 5 13, 5 (for the equation \( A = 13t + 5 \))
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a line intersects the points (8, 2) and (12, -10). what is the slope of…
\( -3 \)
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question 5 of 15, step 1 of 1 construct a polynomial function with the …
\( p(x)=-\frac{3}{4}x^3 - \frac{3}{2}x^2 + \frac{15}{4}x + \frac{9}{2} \) (or in factored form \( p(x)=-\frac{3}{4}(x + 3)(x + 1)(x - 2) \))
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question 39 why did government regulate early radio broadcasting? ○ bro…
the airwaves became crowded
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sketch the graph of the quadratic function and the axis of symmetry. st…
The vertex is \((3, 0)\). The equation of the axis of symmetry is \( x = 3 \).
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mr richardson, math 2 (1111 b), convert factored form to standard form,…
a) $f(x) = -2x^2 + 10x - 8$ b) $(0, -8)$ c) $(1, 0), (4, 0)$ d) $2.5$ e) $4.5$
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compute. -5.39 - 13.4 = 32.7 + (-51.82) =
\(-5.39 - 13.4=\boxed{-18.79}\) \(32.7+(-51.82)=\boxed{-19.12}\)
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compute. -5.26 + 28.89 = -63.8 + (-74.5) =
First result: \(23.63\) Second result: \(-138.3\)
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evaluate the following. 3×9+5−24÷4
26
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compute. 18.8 + (-7.5) = 7.9 - 49.35 =
\( 18.8 + (-7.5) = \boldsymbol{11.3} \) \( 7.9 - 49.35 = \boldsymbol{-41.45} \)
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compute. -4.368 - 3.86 = 14.25 + (-27.381) =
\(-4.368 - 3.86 = \boldsymbol{-8.228}\) \(14.25 + (-27.381) = \boldsymbol{-13.131}\)
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find the value of the logarithmic expression. \\log_{27} 3 \\log_{27} 3…
\(\frac{1}{3}\)
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find (f ∘ g)(x) and (g ∘ f)(x). f(x) = |x|, g(x) = 15x - 2 (f ∘ g)(x) =…
\((f \circ g)(x)=\vert 15x - 2\vert\) \((g \circ f)(x)=15\vert x\vert - 2\)
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simplify. $4^2 \\times (-16 \\div 8)$ order of operations ( ) $x^2$ $\\…
\(-32\)
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solve for x in the equation shown below.\\(\\frac{1}{4}\\ln(5x) + 3 = 1…
$x = \frac{1}{5e^{8}}$ (or $x = \frac{e^{-8}}{5}$)
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simplify. 2(-6 + 24) ÷ 3 order of operations
12
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graph the exponential function ( y = -3^x ) identify the graph of the f…
B
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simplify. $6^2 \\div 4 \\times (-3)$ order of operations ( ) $x^2$ $\\t…
\(-27\)
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for f(x) and g(x): the y-intercept b is... initial cost is $... use (0,…
For \( f(x) \): - The y - intercept \( b \) is \( \boldsymbol{8} \) - Initial cost is \( \boldsymbol{\$8} \) - Use \( (0, \boldsymbol{8}) \) and \( (7,15) \) - \( m=\frac{15 - \bo…
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which system of inequalities does the graph represent? which test point…
The system of inequalities is: 2x + 3y is less than or equal to 4 and x + 2y is greater than or equal to 3 (the fourth option in the list). A test point that satisfies both is (-1…
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7. (5 points) differentiate ( h(x) = sqrt{x}(x - 2) ).
$\frac{3\sqrt{x}}{2} - \frac{1}{\sqrt{x}}$ (or equivalent form $\frac{3x - 2}{2\sqrt{x}}$)
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17 use the graph to evaluate the function below for specific inputs and…
For \( g(x)=6 \), \( x = - 3 \); for \( g(x)=-2 \), \( x = 3 \)
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16 given ( h(x) = -2x + 10 ) graph the point (ordered pair) that repres…
The ordered pair representing \( h(6) \) is \( (6, -2) \), which should be graphed at the point where \( x = 6 \) and \( y = -2 \) on the coordinate plane.
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14 given f(x) = -x + 6 and g(x) = x - 2x find the following f(-5) = g(4…
\( f(-5) = 11 \) \( g(4) = -4 \)
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evaluate the function: $f(x) = 6x - 3$; $f(2)$
9
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exponential equations what is an exponential equation? exponential equa…
- **Principal**: The initial amount or starting value in an exponential (or financial/growth) model; in \( y = ab^x \), it is the value of \( y \) when \( x = 0 \) (i.e., \( a \))…
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situation dapplication : le point v considérons les fonctions polynomia…
Les coordonnées du point V sont \( \boldsymbol{(90, 15)} \).
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in the function rule, y = 2x - 8, what is y when x = 10? y = ?
12
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9 ryan works for a delivery service. the function $f(n)$ is used to cal…
For \( n = 0 \): 90 For \( n = 5 \): 125 For \( f(n) = 145 \): \( \frac{55}{7} \approx 7.86 \) (but since deliveries are likely integer, maybe a typo, but mathematically, \( n = \…
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in the function rule, y = 5x - 1, what is y when x = 0? y = ?
\( -1 \)
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in the function rule, y = 4x, what is y when x = 6? y = ?
\( 24 \)
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divide and express the result in standard form. \\(37)\\dfrac{8}{6 + i}…
\(\frac{48}{37}-\frac{8}{37}i\)
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evaluate. 0.6² = \\boxed{}
0.36
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7 use the graph to evaluate the function below for specific inputs and …
\( g(7) = \boxed{4} \) \( g(0) = \boxed{7} \) \( g(-5) = \boxed{5} \) \( g(x) = 3 \) when \( x = \boxed{8} \) (Note: Depending on the graph's exact details, there might be other s…
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6 given f(x) = -3x + 10 and g(x) = x² - 7x find the following f(-5) = g…
\( f(-5) = 25 \) \( g(2) = -10 \)
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6. (10 points) if $g(x) = \\sqrt{x}$, find $g(x)$ (using the limit defi…
$\frac{1}{2\sqrt{x}}$
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solve for t. \\(\\log_{7}(7t + 12) - \\log_{7}t = \\log_{7}8\\) \\(t = …
\(12\)
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solve the exponential equation. approximate your answer to the nearest …
\( x \approx 0.667 \)
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a line passes through the point (-4, 4) and has a slope of \\(\\frac{5}…
$y=\frac{5}{2}x + 14$
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removes the president from office for misconduct judicial legislative d…
- removing a federal judge for bad behavior - overriding a presidential veto - voting not to approve a president’s nominee for a federal office
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use technology to find points and then graph the function $y = 2^{x+2} …
The four points with integer coordinates are \((-2, 0)\), \((-1, 1)\), \((0, 3)\), \((1, 7)\) (you can plot these points on the given graph).
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5 consider this function $f(x) = x(12 - x)$ what are the values of $f(0…
\( f(0)=\boldsymbol{0} \), \( f(5)=\boldsymbol{35} \), \( f(12)=\boldsymbol{0} \)
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classify this function. the chart has a coordinate grid with a blue gra…
non - linear
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classify this function. options: non - linear, linear
non - linear
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situation dapplication : le point v considérons les fonctions polynomia…
\( (90, 15) \)
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is this a function? graph of a curve yes no
No
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consider the function, $f(x) = 2x - 1$. use the above function to compl…
When \( x=-1 \), \( f(x)=-3 \); when \( x = 0 \), \( f(x)=-1 \); when \( x = 1 \), \( f(x)=1 \); when \( x = 2 \), \( f(x)=3 \) The completed table is: | \( x \) | \( f(x) \) | | …
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d. $4 \\times \\frac{1}{3}$ juice. each member of her family drinks $\\…
\( \frac{4}{3} \) (o \( 1\frac{1}{3} \))
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obtain an approximate value for the logarithm using natural logarithms.…
1.420
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a blue jay swoops down from the top of a 10m tree to chase away some ho…
The blue jay reaches a height of 4m at \( t = 1 \) second and \( t = 3 \) seconds.
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add \\(\\begin{array}{r}\\ 191\\\\ +\\ \\ \\ 17\\\\ \\hline\\ \\ \\ \\ …
\(208\)
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find the inverse of the one - to - one function ( f(x)=\frac{5}{6}x + 2…
\( f^{-1}(x)=\frac{6}{5}x - 30 \)
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bluebonnet learning k-5 math c. $2 \\times \\frac{2}{3}$
$\frac{4}{3}$ (o $1\frac{1}{3}$ como número mixto)
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add. 79 + 99 □
\(178\)
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1 use the following function rule to find f(4). f(x) = -5x + 7 f(4) =
\( -13 \)
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evaluate $-3 \\times (-4) - (-9)$.
21
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add. 44 + 76
\(120\)
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add, 69 + 76
\(145\)
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agent bourne transferred classified files from the cia mainframe into h…
Speed: 4.1 megabytes per second. Time to fill: 235 seconds.
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36 + 48 _____
\(84\)
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51. if f is a real - valued function, which of the following values are…
A. - 3, B. - 1, C. $-\frac{1}{2}$, D. 1
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amount vs time what is the slope of the line shown? point 1 (0, 1) poin…
slope = 3/5
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graphing inequalities in two variables determine which ordered pairs ar…
The ordered pairs \((4,3)\) and \((3,-3)\) are part of the solution set.
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add. 29 + 48 _____ blank box
\(77\)
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3. $6\\frac{1}{4} \\div \\frac{1}{8} = 50$ 5. $6\\frac{8}{9} \\div 1\\f…
\(5\frac{1}{6}\)
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5. $6\\frac{8}{9} \\div 1\\frac{1}{3} =$ 7. $3\\frac{3}{4} \\div 2\\fra…
\(5\frac{1}{6}\) (or \(\frac{31}{6}\))
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what is the slope of the line shown? point 1: (4, 5) point 2: (8, 3) sl…
slope = -1/2
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1. how many supreme court justices did fdr propose adding to the suprem…
s: 1. 6 2. ~13 million (peak) 3. Viewed as exceeding federal power/unconstitutional 4. Overstepped federal authority/violated constitutional limits 5. 4 - 5 (conservative bloc) 6.…
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dividing with mixed numbers #2 divide. 1. \\(\\frac{1}{8} \\div 2\\frac…
1. \(\frac{1}{20}\) (or \(\frac{2}{40}\) if not simplified) 2. \(13\) 3. \(50\) 4. \(\frac{9}{52}\) 5. \(5\frac{1}{6}\) (or \(\frac{31}{6}\)) 6. \(12\) 7. \(1\frac{13}{32}\) (or \…
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use technology to find points and then graph the function $y = 2^x - 4$…
Four points with integer coordinates: (0, -3), (1, -2), (2, 0), (3, 4) (plot these on the graph). The asymptote is \( y = -4 \).
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amount vs time what is the slope of the line shown? point 1 (2, 4) poin…
slope = 3/2
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colin and daniel each dropped a football from different heights. the he…
Colin
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select the best evidence to support the statement \mrs. kearney was an …
- "She had been educated in a high - class convent, where she had learned French and music." - "She sat amid the chilly circle after playing, waiting for some suitor to brave it a…
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use a graph or a table to find the following limit. \\(\\lim\\limits_{x…
\(\infty\)
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use a graph to find the following limit. \\(\\lim_{x \\to \\infty} e^x\…
\(\infty\)
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in 1-12, use fraction strips to find each sum. 1. $3\\frac{1}{2} + 1\\f…
1. \( 3 \) 2. \( 6\frac{2}{3} \)
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function 1 is defined by the equation $p = r + 7$. function 2 is define…
B. Function 2