微積分
極限、導関数、最適化、関数挙動。
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write the expression to complete the equation for the function represen…
\(y=-|x - 3|-3\)
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current skill $ write the expression that completes the equation to rep…
\( y=-|x - 1| \)
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-40÷(11-9)²
-10
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evaluate the expression. 4!·3! ○ 12 ○ 30 ○ 144 ○ 5,040
144
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29 - (2² + 35)
\(-10\)
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8. \\(\\dfrac{\\sec x \\csc x - \\tan x}{\\sec x \\csc x}\\)
\(\cos^{2}x\)
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2. \\csc x - \\cos x \\cot x
\(\sin x\)
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solve the equation by the method of undetermined coefficients. $y - 2y …
The general solution of the differential equation \( y'' - 2y'=\sin x \) is \( y = C_1 + C_2 e^{2x}+\frac{2}{5}\cos x-\frac{1}{5}\sin x \), where \( C_1 \) and \( C_2 \) are arbit…
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find each quotient. you 6) -19.8 + -2.2
\(-22\)
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6.1 × -17.3
\( -105.53 \)
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-11.751 × -17.2
\(202.1172\)
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how did the distribution of power in medieval england differ from that …
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…
a limited the power of the English king
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10 9.28 ÷ -3.2
\(-2.9\)
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vid0029 morgan trevathan open-ended question what did you get when you …
5
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enter the correct answer. find the quotient using the standard algorith…
The quotient is 17 with a remainder of 20, so the answer for the quotient (the "?") is 17.
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find the quotient using the standard algorithm. \\(\\begin{array}{r}\\ …
The quotient is 12 and the remainder is 1, so the answer is \(12\) R \(1\) (or in the box for the quotient: \(12\), remainder box: \(1\)).
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find the period of this function. ?π
# Explanation: ## Step1: Recall Period Definition The period of a periodic function is the horizontal distance between two consecutive identical points (e.g., peaks, troughs, or i…
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use transformations of the graph of f(x)= log x to graph the given func…
A. The graph of \( f(x)=\log x \) should be reflected about the x - axis and vertically shifted 1 unit upward.
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find the domain of the logarithmic function. f(x) = log (6 − x) the dom…
\((-\infty, 6)\)
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evaluate the expression without using a calculator. log 1000 log 1000 =…
\(3\)
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evaluate the expression without using a calculator. 10^log 21 10^log 21…
21
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evaluate the expression without using a calculator. \\ln e^{5} \\ln e^{…
\(5\)
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evaluate or simplify the expression without using a calculator. $e^{ln …
\(119\)
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evaluate or simplify the expression without using a calculator.\\( e^{l…
\( 2x^{4} \)
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find f(-x) - f(x) for the following function. f(x) = x³ + x + 2 f(-x) -…
\( -2x^3 - 2x \)
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given the function f(x)=x² - 19, x ≥ 0, complete parts a through c. (a)…
\(\sqrt{x + 19}\)
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find the period of this function. y = 2 sin 4θ ?/?π
The period of the function \( y = 2\sin(4\theta) \) is \( \frac{1}{2}\pi \), so the numerator is \( 1 \) and the denominator is \( 2 \).
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begin by graphing f(x) = \\log_2 x. then use transformations of this gr…
\((-5, \infty)\)
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what is the amplitude of the following function? y = \\frac{3}{2} \\sin…
\(\frac{3}{2}\)
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question 17, 4.2.53 - setup & solve part 3 of 5 points: 0 of 1 begin by…
The vertical asymptote of \( g(x)=\log_2(x + 5) \) is \( \boldsymbol{x = -5} \).
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“everyone deserves the chance to have a healthy life. riley, an expert …
For the first part (why build stores): People living in food deserts hope grocery stores will be built in their neighborhoods to have better choices (since they have limited acces…
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why do people living in food deserts hope grocery stores will be built …
First blank: available Second blank: preferable
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how does the author develop the idea that some neighborhoods have limit…
convenient
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how does the author develop the idea that some neighborhoods have limit…
nearby
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what is processed food? learn more. how does the author develop the ide…
First blank: obtain; Second blank: supermarkets (assuming the options for the second blank include supermarkets based on food desert context)
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determine the effects on the graph of the parent function f(x)=x for th…
B. The graph becomes steeper.
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quiz 24 google classroom microsoft teams complete the equations with po…
The first blank is \(10^{3}\) (or 1000), the second blank is \(10^{2}\) (or 100), the third blank is \(10^{1}\) (or 10). So filling in the blanks: 1. \(411.92\times\boldsymbol{10^…
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a companys profit g (in thousands of dollars) after a hours of operatio…
The time when the profit reaches 2 thousand dollars is 10 hours.
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which graph shown the solution to this system of inequalities? y < \\(\…
A
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question 11 of 25 how many solutions does the nonlinear system of equat…
B. Zero
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question 9 of 25 on a piece of paper, graph this system of equations. y…
D. Solutions: (2, 0) and (5, 3)
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Question was provided via image upload.
C (the option with the description "infinite number of solutions" and the corresponding graph)
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identify the graph and describe the solution set of the system of inequ…
A. There is no solution.
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question 4 of 10 on a piece of paper, graph this system of inequalities…
A. Region C
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38. ★ multiple choice what is g(f(x)) if f(x) = 7x² and g(x) = 3x⁻²? a …
A. \(\frac{3}{49x^4}\)
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2. ★ writing tell whether the sum of two power functions is sometimes, …
sometimes
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11. ★ multiple choice what is $f(x) + g(x)$ if $f(x) = -7x^{2/3} - 1$ a…
B. \( -5x^{2/3} + 5 \)
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for the function f(x) = ln(1 + 8x), find the taylor polynomials of orde…
\( P_0(x)=\boxed{0} \)
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question 10 of 25 when the function below is graphed, how many x-interc…
A. 0
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line f has an equation of $y - 1 = \\frac{1}{3}(x + 3)$. line g is perp…
\( y=-3x - 9 \)
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solve the following exponential equation by expressing each side as a p…
$\{-8\}$
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question 5 of 10 add the following complex numbers: (6 - 2i) + (11 + 6i…
C. \(17 + 4i\)
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question 1 of 10 subtract the following complex numbers: (2 + 2i) - (14…
A. -12 - 14i
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3.8.3 quiz: imaginary numbers question 10 of 10 what is ( i^{27} )? a. …
D. \(-i\)
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question 9 of 10 which of the following is not a real number? a. \\(\\s…
A. \(\boldsymbol{\sqrt{-4}}\)
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3.8.3 quiz: imaginary numbers question 8 of 10 what is (-i)^6? a. 1 b. …
D. -1
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line v has an equation of $y = -\frac{1}{5}x + 9$. line w includes the …
\( y = -\frac{1}{5}x - 1 \)
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question 6 of 10 which choice is equivalent to the expression below? \\…
C. \( 2i\sqrt{5} \)
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use the root test to determine if the following series converges absolu…
The limit resulting from the Root Test is \(0\), which is less than \(1\), so the series converges absolutely. The first box is \(0\), the first dropdown (comparison) is "less tha…
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question 9 of 10 find the vertex of the function given below. y = x² - …
A. (3, -8)
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question 6 of 10 using the graph as your guide, complete the following …
C. zero
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question 4 of 10 at how many points does the graph of the function belo…
A. 0
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question 1 of 10 which of the following graphs is described by the func…
B. Graph B
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question 6 of 10 which graph is defined by the function given below? y …
A. Graph A
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question 5 of 10 which of the following functions best describes this g…
B. \(y = x^{2}+8x + 12\)
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question 5 of 10 which of the following functions best describes this g…
B. \(y = x^2 + 8x + 12\)
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given the function $f(x) = x^2 + 7$, find the indicated values. \ta) $f…
\( a^{2} + 7 \)
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given the function $f(x) = x^2 + 7$, find the indicated values. a) $f(7…
56
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given the function $f(x) = 5x + 2$, find the indicated values. (a) $f(1…
\( 5r + 2 \)
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given the function f(x) = 5x + 2, find the indicated values. (a) f(1) (…
\( 7 \)
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for the function defined as follows, find a. f(x + h), b. f(x + h) - f(…
\( \frac{-2h}{x(x + h)} \)
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given the function $f(x) = x^2 + 11$, find the indicated values. a) $f(…
\( a^{2} + 11 \)
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given the following function, find f( - 1), f(0), and f(4). f(x) = - 3x…
\( f(4)=-10 \)
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use the graphs of f and g to find (f + g)(2). (f + g)(2) = \\square
\(0\)
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graphing absolute value functions (tables) name date: graph the absolut…
For \( f(x)=|x - 4| \): - Vertex: \((4,0)\) - Table: | \( x \) | \( f(x) \) | | ---- | ---- | | 2 | 2 | | 3 | 1 | | 4 | 0 | | 5 | 1 | | 6 | 2 | - Graph: V - shaped graph with vert…
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find f(-4), f(0) and f(1) for the following function. f(x) = 2x f(-4) =…
\( f(0)=\boldsymbol{0} \) \( f(1)=\boldsymbol{2} \)
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find f( - 4), f(0) and f(1) for the following function. f(x) = 2x f( - …
\( f(-4)= -8 \)
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given the following function, find f(-1), f(0), and f(3). f(x) = x² - 1…
\( f(0) = -1 \) For completeness, let's also find \( f(3) \):
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use substitution to evaluate the indefinite integral.\\(\\int e^{(-\\co…
\( e^{-\cos x} + C \)
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given the following function, find f(-1), f(0), and f(3). f(x) = x² - 1…
\( 0 \)
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Question was provided via image upload.
The equation of the line is \(y = -\frac{2}{3}x-4\)
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11) graph of a line on a coordinate grid with x-axis from -8 to 8 and y…
If the question is to find the equation of the line, the answer is \(y=-3x - 4\). If the question is to find the slope, the answer is \(-3\). If the question is to find the y - in…
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why do supporters argue that judicial activism is sometimes necessary i…
C. It allows judges to protect individual rights when other branches fail to act
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the servicemens readjustment act of 1944, known informally as the g.i. …
B. enacting laws to provide for the common good (assuming the options are labeled with letters as is common; adjust the identifier if the original options have different labels, b…
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graph the line. $y=\\frac{1}{5}x - 4$
To graph \(y = \frac{1}{5}x-4\), plot the y - intercept \((0, - 4)\), then use the slope \(\frac{1}{5}\) to find additional points (e.g., \((5,-3)\) or \((-5,-5)\)) and draw a str…
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repeated challenges there are many challenge problems on this screen! d…
To graph \( f(x)=|x - 5|+3 \), move the vertex (the purple point) from \((0, 0)\) to \((5, 3)\). The left part of the V (for \( x<5 \)) will have a slope of - 1 and the right part…
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9. $f(x) = \\frac{x}{4} \\sin^{-1}(x)$ 10. $x^2 y = (y + 2) + xy \\sin(…
For \( f(x)=\frac{x}{4}\sin^{-1}(x) \), derivative is \( \boldsymbol{\frac{\sin^{-1}(x)}{4}+\frac{x}{4\sqrt{1 - x^2}}} \). For \( x^2y=(y + 2)+xy\sin(x) \), derivative \( y' \) is…
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2b. what is the end behavior, and the axis of symmetry, of the absolute…
As \(x ightarrow-\infty\), \(f(x) ightarrow+\infty\) and As \(x ightarrow+\infty\), \(f(x) ightarrow+\infty\) And \(x = 2\)
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1. $y = 4 + 2^x$ | x | y | | --- | --- | | 1 | | | 2 | | | 3 | | 2. $y …
# Explanation: ## Step1: Solve for \( y = 4 + 2^x \) ### Substep 1.1: When \( x = 1 \) Substitute \( x = 1 \) into \( y = 4 + 2^x \). We know that \( 2^1 = 2 \), so \( y = 4 + 2 =…
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write the improper fraction below as a mixed number. please enter the w…
Whole Number: 5 Fraction: \(\frac{3}{5}\)
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identifying key characteristics of polynomial functions select the numb…
The number of x - intercepts is 3 with coordinates (0, 0), (8, 0), (18, 0). The function has a relative maximum (the peak) and a relative minimum (the valley). (If we have to choo…
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write the improper fraction below as a mixed number. please enter the w…
Whole Number: 6 Fraction: \(\frac{2}{3}\)
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drag and drop the answers into the boxes to correctly complete the stat…
The rate of change of the function is \(\boldsymbol{5}\). This represents the \(\boldsymbol{\text{cost per gigabyte of data}}\) and is measured in \(\boldsymbol{\text{dollars per …
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playlist 1 of 3 beta identifying key characteristics of polynomial func…
The coordinates of the \(y\) - intercept: \((0,0)\) For the \(x\) - intercepts, assuming the three points are \((0,0)\), \((x_1,0)\) and \((x_2,0)\) (from the graph, we can identi…
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21. find the area of the triangle abc if a = 12 m, b = 14 m, and c = 8.…
The area of triangle \(ABC\) is approximately \(48\space m^{2}\) (or more precisely \(\approx47.9\space m^{2}\))
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graph the line. y=2x
The line \( y = 2x \) is graphed by plotting the points \((0,0)\), \((1,2)\), \((2,4)\) etc. and drawing a straight line through them. The line has a slope of 2 and passes through…
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use transformations of $f(x)=x^2$ to graph the following function. $g(x…
To graph \( g(x)=-3(x - 1)^2 - 3 \) from \( f(x)=x^2 \): 1. Vertically stretch \( f(x) \) by factor \( 3 \), reflect over \( x \)-axis (opens downward, narrower). 2. Shift the res…
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13. f(x) = \\frac{8}{x - 3} 14. f(x) = \\frac{12}{x} + 9
For \(f(x)=\frac{8}{x - 3}\), domain is \((-\infty,3)\cup(3,\infty)\); for \(f(x)=\frac{12}{x}+9\), domain is \((-\infty,0)\cup(0,\infty)\)
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how many periods of the function y = tan x are there between -4 π and π?
\( 5 \)