微积分
极限、导数、最优化与函数性质。
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read this example: ... has led many to wonder if being a vegan is both …
D. The quote is not from reliable source material.
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given the function below, fill in the table of values, use the table of…
### Completed Table: | $x$ | $x+1$ | $\sqrt[3]{x+1}$ | $y=-\frac{1}{2}\sqrt[3]{x+1}$ | |-----|-------|------------------|--------------------------------| | $-9$ | $-8$ | $-2$ | $…
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graph the equation by plotting points. $y = -2x^2$ to graph the equatio…
Plot the following 5 points on the graph: $(-2, -8)$, $(-1, -2)$, $(0, 0)$, $(1, -2)$, $(2, -8)$ Then connect the points to form a downward-opening parabola.
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attempt 1: 10 attempts remaining. given the function $f(x) = 2 + 5x^2$,…
s: - \( f(a) = \boldsymbol{2 + 5a^2} \) - \( f(a + h) = \boldsymbol{2 + 5a^2 + 10ah + 5h^2} \) - \( \frac{f(a + h) - f(a)}{h} = \boldsymbol{10a + 5h} \) (for \( h eq0 \))
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write an equation for the function graphed below y = question help: sub…
$\boldsymbol{y=\frac{2(x-2)}{(x+1)(x-4)}}$ or $\boldsymbol{y=\frac{2x-4}{x^2-3x-4}}$
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find the graph of this system of linear inequalities. \\(\\begin{cases}…
The graph is the first (leftmost) one, showing the overlapping region of the area below the line $y=3x-4$ and above the line $y=-x+3$ (the purple region).
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use technology to find points and then graph the function $y = \\sqrt{x…
Four points to plot: $(-1, 0)$, $(0, 1)$, $(3, 2)$, $(8, 3)$ (The graph is a right-opening square root curve starting at $(-1, 0)$ and increasing slowly as $x$ increases.)
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suppose f(x) > 0 for all x and \\(\\int_{0}^{9} f(x) dx = 18\\). let r …
The correct integral setup (assuming a misprint and rotating around the \(x\) - axis) is \(\pi\int_{0}^{9}(f(x^{2}))^{2}dx\), so the answer is the option with \(\int_{0}^{9}(f(x^{…
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review the graph of ( f(x) = sqrt3{x} ) and the graph of the transforme…
-2f(x + 4)
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b) what is one - half of one - half? show your work
$\frac{1}{4}$
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9. prove each identity. a) \\(dfrac{cos^2 \theta - sin^2 \theta}{cos^2 …
$\frac{\cos^2\theta - \sin^2\theta}{\cos^2\theta + \sin\theta\cos\theta}=1 - \tan\theta$，等式得证。
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for which x - values is the graph below discontinuous? options: {…-3, -…
$\{\dots -3, -1, 1, 3, \dots\}$
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((10 - 6 + 5) ÷ 9) × 2
\(2\)
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graph $y = \\dfrac{4}{5}x - 7$.
To graph \( y=\frac{4}{5}x - 7 \): 1. Plot the y - intercept at \( (0,-7) \). 2. From \( (0,-7) \), use the slope \( \frac{4}{5} \) to find another point: move up 4 units and righ…
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graph $y = \\frac{4}{5}x - 7$.
The graph is a straight line passing through points $(0, -7)$ and $(5, -3)$, extending infinitely in both directions.
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26 graph the function $f(x) = x^2 + 4x + 3$. state the equation of the …
Equation of the axis of symmetry: $\boldsymbol{x=-2}$ *(To graph the function: plot the x-intercepts $(-3,0)$ and $(-1,0)$, vertex $(-2,-1)$, y-intercept $(0,3)$, then draw a upwa…
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26 graph the function $f(x) = x^2 + 4x + 3$. state the equation of the …
Axis of symmetry: $x = -2$ Key points for graph: $(-3,0), (-2,-1), (-1,0), (0,3), (-4,3)$
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graph $y = \\frac{4}{5}x - 7$.
To graph \( y=\frac{4}{5}x - 7 \): 1. Plot the y - intercept at \( (0,-7) \). 2. Use the slope \( \frac{4}{5} \) to find another point: from \( (0,-7) \), move up 4 and right 5 to…
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graph $y = \\frac{4}{5}x - 7$.
To graph \( y=\frac{4}{5}x - 7 \): 1. Plot the y - intercept \( (0,-7) \). 2. Use the slope \( \frac{4}{5} \) to find another point (e.g., from \( (0,-7) \), move 4 up and 5 right…
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graph $y = \\frac{4}{5}x - 7$.
To graph \( y=\frac{4}{5}x - 7 \): 1. Plot the y - intercept at \( (0,-7) \). 2. Use the slope \( \frac{4}{5} \) to find another point (e.g., from \( (0,-7) \), move up 4 and righ…
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graph $y = \\frac{4}{5}x - 7$.
要绘制\(y = \frac{4}{5}x - 7\)的图像： 1. 标记\(y\)轴截距点\((0, -7)\)（因为当\(x = 0\)时，\(y = -7\)）。 2. 利用斜率\(\frac{4}{5}\)（上升\(4\)，向右\(5\)），从\((0, -7)\)开始，向右移动\(5\)个单位，向上移动\(4\)个单位，得到点\((5, -3)\…
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what is \\(\\lim_{h \\to 0} \\frac{8\\left(\\frac{1}{2} + h\ ight)^8 - …
1
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1. what does absolute value mean? please make a function table and grap…
1. The absolute value of a number, denoted as $|x|$, is the non-negative value of $x$ without regard to its sign. Mathematically, $|x| = \begin{cases} x & \text{if } x \geq 0 \\ -…
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find the inverse function. f(x) = 3x - 1 f⁻¹(x) = (x + ?) / ?
The numerator's box should be 1 and the denominator's box should be 3. So \( f^{-1}(x)=\frac{x + \boldsymbol{1}}{\boldsymbol{3}} \)
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using the following equations, find g(f(x)): f(x) = -x² - 1 g(x) = x + …
The coefficient of \( x^2 \) is \(-1\) and the constant term is \(4\), so \( g(f(x)) = \boxed{-1}x^2 + \boxed{4} \)
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graph $y = \\frac{4}{5}x - 7$.
To graph \( y=\frac{4}{5}x - 7 \): 1. Plot the y - intercept \( (0,-7) \). 2. Use the slope \( \frac{4}{5} \) to find additional points (e.g., \( (5,-3) \) by moving 5 right and 4…
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identify the equation for the graph. $y = (x - 1)(x - 3)^2(x - 5)$ $y =…
\(y=(x - 1)(x - 3)^{2}(x - 5)\) (the first option)
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( x = -6 \), \( y = 1 \) (or the point \( (-6, 1) \)).
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solve the system of equations graphed on the coordinate axes below. y =…
The solution to the system of equations is \( x = 1 \), \( y = 3 \) or the ordered pair \( (1, 3) \)
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14. which of the following terms describe the graph shown? select all c…
A. linear D. decreasing E. function
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answer all questions in this part. each correct answer will receive 2 c…
4 ### Question 2
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attempt 1: 10 attempts remaining. let ( f(x) = 2x^2 - 2x - 7 ). (a) com…
(a): \( 4x + 2h - 2 \) ### Part (b)
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attempt 1: 10 attempts remaining. given ( f(x) = e^x - 3 ), use the dif…
\( 1.822 \)
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attempt 1: 10 attempts remaining. given ( f(x) = -6x^2 + 7x - 3 ), use …
\(-5\)
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attempt 1: 10 attempts remaining. let ( f(x) = x^2 ). compute the value…
\( 10.04 \)
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attempt 1: 10 attempts remaining. given ( f(x) = 5x - 7 ), use the diff…
5
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quiz yourself as you complete multiple - choice questions, theyll becom…
B. a way to quiz yourself
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attempt 1: 10 attempts remaining. find the difference quotient for the …
\( 1 \)
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attempt 1: 10 attempts remaining. the function $f(x) = \\frac{x^2 - 8}{…
\( 5 \)
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what value does $f(x) = \\frac{1}{(x - 7)^2}$ approach as $x \\to 7$? (…
\(\infty\)
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this is the graph of a linear inequality. write the inequality in slope…
\(y\geq-\frac{1}{2}x - 4\)
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-\frac{4.99^{2}}{4}+3(4.99)+7 =\\ -\frac{4.999^{2}}{4}+3(4.999)+7 =
s: First expression: $\boldsymbol{15.744975}$ Second expression: $\boldsymbol{15.74949975}$
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$-\frac{5.061^{2}}{4}+3(5.001)+7=$
\(15.59956975\)
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$-\frac{5.1^{2}}{4}+3(5.1)+7=$
15.7975
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- \\frac{5.01^{2}}{4} + 3(5.01) + 7 =
\(28.305025\)
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$-\frac{5^{2}}{4}+3(5)+7 =$
\(\frac{63}{4}\) (or \(15.75\))
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$-\frac{4.9^{2}}{4}+3(4.9)+7=$
\(15.6975\)
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-\frac{4.9^{2}}{4}+3(4.9)+7; -\frac{4.99^{2}}{4}+3(4.99)+7; -\frac{4.99…
For \(-\frac{5^2}{4}+3(5)+7\), the result is \(15.75\) (or \(\frac{63}{4}\)). For \(-\frac{4.9^2}{4}+3(4.9)+7\), the result is \(15.6975\). For \(-\frac{5.01^2}{4}+3(5.01)+7\), th…
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this is the graph of a linear inequality. write the inequality in slope…
\(y\geq - x\)
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this is the graph of a linear inequality. write the inequality in slope…
$y \geq -\frac{3}{2}x + 6$
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question 10 of 10 according to the tenth amendment, the powers of ____ …
D. the federal government
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complete the table of values for the functions $f(x) = -2x + 6$ and $g(…
s: #### Table Completion: - \( x=0 \): \( f(0)=6 \), \( g(0)=2 \) - \( x=1 \): \( f(1)=4 \), \( g(1)=0 \) - \( x=2 \): \( f(2)=2 \), \( g(2)=2 \) - \( x=3 \): \( f(3)=0 \), \( g(3…
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complete the table of values for the functions $f(x)=|x - 3|-4$ and $g(…
(Table): | \( x \) | \( f(x) \) | \( g(x) \) | |--------|------------|------------| | 0 | -1 | -4 | | 1 | -2 | -2 | | 2 | -3 | 4 | | 3 | -4 | 22 | | 4 | -3 | 76 |
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complete the table of values for the functions $f(x) = |x - 3| - 4$ and…
(for the solution part): A. \( x = 1 \) (assuming the options are labeled, but the problem's options are: "x = 1", "between x = 1 and x = 2", "x = 2", "between x = 2 and x = 3". S…
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complete the table of values for the functions $f(x) = |x - 7|$ and $g(…
for the solution of \( f(x) = g(x) \): The equation \( f(x) = g(x) \) has a solution between \( x = 4 \) and \( x = 5 \).
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complete the table of values for the functions $f(x) = (x + 2)^2 - 3$ a…
### Part 1: Completing the table for \( f(x) = (x + 2)^2 - 3 \) and \( g(x) = x + 1 \) #### For \( x = -2 \): - **Step 1: Calculate \( f(-2) \)** Substitute \( x = -2 \) into \( f…
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do these problems in your head. use paper only for the problems that yo…
1. $102$ 2. $460$ 3. $171$ 4. $35000$ 5. $144000$ 6. $6.1$ 7. $10.6$ 8. $0.98$ 9. $1.67$
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complete the table of values for the functions $f(x) = 2|x|$ and $g(x) …
### Part 1: Completing the table of values for \( f(x) = 2|x| \) and \( g(x) = x^2 - 1 \) #### For \( x = -3 \): - **Calculating \( f(-3) \):** The function is \( f(x) = 2|x| \). …
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f) range 11. a) sketch ( f(x) = sqrt3{x + 1} ) b) domain: range: c) alg…
a) (Sketch: Plot points $(-1,0)$, $(0,1)$, $(-9,-2)$, $(7,2)$ and draw a smooth cube root curve shifted left 1 unit; also draw $y=x$ as a dashed line for reference) b) Domain: $(-…
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complete the table of values for the functions $f(x) = x^2 - 2$ and $g(…
### Part 1: Complete the table for \( f(x) = x^2 - 2 \) and \( g(x) = |x - 2| \) #### For \( x = 0 \): - \( f(0) = 0^2 - 2 = -2 \) - \( g(0) = |0 - 2| = 2 \) #### For \( x = 1 \):…
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division introduction part 2 of 2 1 2 trying to earn do these problems …
$95.6 \div 10 = 9.56$ $5566.3 \div 10 = 556.63$ $7.8 \div 10 = 0.78$ $7.9 \div 10 = 0.79$ $98.9 \div 100 = 0.989$ $0.045 \div 10 = 0.0045$ $4 \div 100 = 0.04$ $662 \div 10 = 66.2$…
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complete the table of values for the functions $f(x) = |x - 10|$ and $g…
### Part 1: Completing the table for \( f(x) = |x - 10| \) and \( g(x) = \frac{1}{2}(x - 6)^2 \) #### For \( f(x) = |x - 10| \): - **Step 1: When \( x = 5 \)** Substitute \( x = 5…
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complete the table of values for the functions $f(x) = \\frac{5}{4}x$ a…
### Part 1: Completing the table for \( f(x) = \frac{5}{4}x \) and \( g(x) = \frac{1}{4}x^2 + 1 \) #### For \( f(x) = \frac{5}{4}x \): ## Step 1: When \( x = -2 \) Substitute \( x…
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complete the table of values for the functions $f(x)=|x + 4|$ and $g(x)…
to \( f(x) = g(x) \) solution: The equation \( f(x) = g(x) \) has a solution **between \( x = -2 \) and \( x = -1 \)**.
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complete the table of values for the functions $f(x) = 1.5x$ and $g(x) …
s: #### Table Completion: - \( x = -2 \): \( f(x) = \boldsymbol{-3} \), \( g(x) = \boldsymbol{-1} \) - \( x = -1 \): \( f(x) = \boldsymbol{-1.5} \) (or \( -\frac{3}{2} \)), \( g(x…
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complete the table of values for the functions $f(x) = -3x + 7$ and $g(…
for \( f(x) = g(x) \): between \( x = 1 \) and \( x = 2 \)
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complete the table of values for the functions $f(x) = 4|x|$ and $g(x) …
### Part 1: Completing the table for \( f(x) = 4|x| \) and \( g(x) = -2(x - 1)^2 + 12 \) #### For \( f(x) = 4|x| \): - **When \( x = -2 \):** \( f(-2) = 4|-2| = 4 \times 2 = 8 \) …
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complete the table of values for the functions $f(x) = 2x + 7$ and $g(x…
### Part 1: Completing the table for \( f(x) = 2x + 7 \) and \( g(x) = (x + 1)^2 - 3 \) #### For \( x = -3 \): - **Step 1: Calculate \( f(-3) \)** Substitute \( x = -3 \) into \( …
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complete the table of values for the functions $f(x) = \\frac{1}{4}|x|$…
### Part 1: Completing the table for \( f(x) = \frac{1}{4}|x| \) and \( g(x) = 2^{x - 1} \) #### For \( f(x) = \frac{1}{4}|x| \): - **When \( x = -3 \):** - Step 1: Calculate \( |…
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look at the table of values for the functions $f(x) = |x| + 1.5$ and $g…
\( x = 3 \)
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look at the table of values for the functions $f(x) = 3x - 2$ and $g(x)…
between \( x = 0 \) and \( x = 1 \)
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multiplication introduction part 1 of 2 do these problems in your head.…
$7 \times 10 = 70$ $59 \times 10 = 590$ $100 \times 82 = 8200$ $30 \times 3 = 90$ $90 \times 6 = 540$ $40 \times 5 = 200$ $4 \times 700 = 2800$ $70 \times 900 = 63000$ $50 \times …
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look at the table of values for the functions $f(x) = |x| - 2$ and $g(x…
between \( x = 1 \) and \( x = 2 \)
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multiplication introduction part 1 of 2 1 2 trying to earn: these probl…
10 10 820 30 60 50 7000 9000 2000 *Note: The first digit of the first six problems is cut off; this solution assumes the leading term for each incomplete problem is 10, consistent…
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use the calculator below to approximate \\(\\sqrt{134}\\) as a decimal …
11.6
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13. identify if each statement in the table below describes a debit, cr…
| STATEMENT | DEBIT | CREDIT | PREPAID DEBIT | |-----------|-------|--------|---------------| | a. May have overdraft fees | X | | | | b. Spending limit is how much is preloaded o…
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find the product of: 672 x 576= 10,966 -3,722 387,072 382,778 question …
For $672 \times 576$: C. 387,072 For $285 \div 5$: 57
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question 8 find the quotient: 285 ÷ 5 = ○ 75 ○ 57 ○ 1,425 ○ 280 questio…
B. 57 ---
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find the difference: 10,300 - 497 = 9,803 9,308 9,000 8,983 question 2 …
1. 9,803 2. 17
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9. the _________________ is the amount of money you borrow from a lende…
9. principal; interest; loan term 10. credit limit
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add/subtract medium difficulty part 1 of 2 1 2 trying to earn: do these…
79 640 35 46,000 7100 9.8 5.2 0.89 0.53
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a line passes through the points in this table. | x | y | | 2 | 5 | | 3…
\(-3\)
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a line passes through the points in this table. | x | y | | 4 | 1 | | 1…
\(\frac{3}{2}\)
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5. calculator allowed if \\( \\frac{dy}{dx} = \\sqrt{1 - y^2} \\), then…
\(-y\)
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problem 4. all ______ should be done second, starting from the left and…
C. multiplications and divisions
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what is the slope of this line? (graph with points (-4, 0) and (0, -3))
\(-\frac{3}{4}\)
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what is the slope of this line? (with a coordinate grid and a line grap…
\(-\frac{1}{2}\)
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what is the slope of this line? (with a coordinate grid and a line plot…
\(-\frac{1}{8}\)
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what is the slope of this line? (with a coordinate grid and a red line …
\(-\frac{1}{4}\)
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what is the slope of this line? (graph with points (0,1) and (4,2))
\(\frac{1}{4}\)
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what is the slope of this line? the coordinate plane with a line passin…
\(-5\)
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directions: read the following selections from the treaty of versailles…
The subfield is History (under Social Science).
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directions: read the following selections from the treaty of versailles…
The subfield is History (under Social Science).
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problem tell which of these numbers is greater. after you enter your an…
A. \(\sqrt{6}\)
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what is the slope of this line? (graph with points (-50, 10) and (0, -1…
\(-\frac{2}{5}\)
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what is the slope of this line? (with a coordinate grid and a line plot…
\(-2\)
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what is the slope of this line? (0, 6) (4, 3)
\(-\frac{3}{4}\)
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what is the slope of this line?\ (graph with points (-2, 2) and (3, -3)…
\(-1\)
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what is the slope of this line? (0, 20) (20, -30)
\(-\frac{5}{2}\) (or \(-2.5\))
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what is the slope of this line? (with a coordinate grid and a line plot…
\(-6\)