微积分
极限、导数、最优化与函数性质。
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evaluate as requested. find f(3) for f(x) = x² - 4x - 7 select one: a. …
B. \( f(3)=-10 \)
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a graph of a function f is shown below. find f(-0.9). select one: a. -1…
B. 2.641
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ted to reproduce for classroom use. complete the function table. then g…
The completed function table (correcting the errors in the original table) is: | \( x \) | \( -2 \) | \( 0 \) | \( 1 \) | \( 2 \) | | --- | --- | --- | --- | --- | | \( x + 3 \) |…
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plotting the difference of two complex numbers the complex numbers ( z_…
A
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which of the following graphs represent functions? select all that appl…
Figure A, Figure B, Figure D
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problem 8: $f(x) = sqrt3{x}$ explanation: step 1: find $f(-x)$ substitu…
Odd
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olving equations containing natural logarithms solve: $2\\ln 3 = \\ln(x…
\( x = 13 \) (i.e., the option with \( x = 13 \))
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before applying for a credit card, jacob examines his credit report. wh…
to determine if he has a history of good credit
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1\\frac{5}{8} \\times 2\\frac{6}{8} = \\underline{\\quad}
$\frac{55}{32}$ (or $1\frac{23}{32}$)
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use the graph of the function ( w(x) ) shown below to complete each tas…
(a) $-1$ (b) dne (c) $> W'(2)$ (d) $x=0$, $x=2$
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1. graph the linear function: $y = 2x - 4$ instructions - click the gra…
Graph the line passing through the points $(0, -4)$ and $(2, 0)$.
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use the graph to answer the question. find the interval(s) over which t…
# Explanation: ## Step1: Define decreasing function A function is decreasing on an interval if as $x$ increases, $y$ decreases (the graph moves downward from left to right). ## St…
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4. enter an equation in the form y=mx+b that represents the function.
$y=4x-3$
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evaluate the limit: \\(\\lim\\limits_{x\\to 0} \\frac{-6\\sin(x)}{5x}\\)
$-\frac{6}{5}$
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evaluate the limit: \\(\\lim_{x \\to 0} \\frac{1 - \\cos^2(x)}{2x}\\)
\(0\)
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what is the total cost of 3 pounds of grapes and 4 pounds of strawberri…
The missing value for strawberries is 12, and the total cost is $\$18$. Filled expression: $\boldsymbol{6 + 12 = 18}$
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question evaluate the limit: \\(\\lim\\limits_{x\\to 0} \\dfrac{5x - 5x…
\(0\)
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water is entering a pond from the north inlet. water is exiting from th…
$\boldsymbol{-11200}$ liters (the negative value indicates a decrease in the pond's water volume by 11200 liters over the 20 minutes)
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question evaluate the limit: \\(\\lim\\limits_{x\\to 0} \\frac{-3\\sin(…
-6
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find the real - number root using a calculator. round your answer to th…
4.082
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find the real - number root using a calculator. round your answer to th…
22.226
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find the real - number root using a calculator. round your answer to th…
$-5.698$
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find the real-number root using a calculator. round your answer to the …
19.672
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find the real - number root using a calculator. round your answer to th…
9.747
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graph the equation $y = -x^2 + 2x + 3$ on the accompanying set of axes.…
The vertex of the parabola is \((1, 4)\)
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4) $f(x) = -(x - 4)(x - 2)$
To graph $f(x)=-(x-4)(x-2)$: 1. Plot x-intercepts at $(2, 0)$ and $(4, 0)$ 2. Plot vertex at $(3, 1)$ 3. Plot y-intercept at $(0, -8)$ 4. Draw a downward-opening parabola passing …
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3) $f(x)=(x + 5)(x + 1)$
The graph is an upward-opening parabola with x-intercepts at $(-5, 0)$ and $(-1, 0)$, vertex at $(-3, -4)$, and y-intercept at $(0, 5)$, passing smoothly through all plotted point…
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Question was provided via image upload.
\( (f \circ g)(x) = 3x - 4 \) ### Question 13: Find \( g \circ f \)
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what is the graph of $f(x) = x^2$ for $x \\geq 0$? what is the graph of…
s: - The graph of \( f(x)=x^2 \) for \( x\geq0 \) is the right - hand half of the parabola \( y = x^2 \) with vertex at \((0,0)\) and increasing for \( x\geq0 \). - The inverse fu…
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select the correct answer. how does the author justify her claim that m…
D. by explaining how an English-only requirement would be less efficient and would limit cultural expression
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select the correct detail in the passage. which detail from paragraph 2…
According to the U.S. Census Bureau, 97 percent of Americans currently speak English "well" or "very well."
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8. consider the two functions below. circle the function below that is …
The linear function is Function A. The equation of the linear function is \( y = x+1 \) (Wait, no, wait I think I made a mistake. Wait, looking at the graph again: when \( x = 0 \…
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what is the value of the expression below? 16 \\( 3 \\times 26 + 5(3 \\…
\(138\)
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graph the equation $y = x^2 - 6x + 5$ on the accompanying set of axes. …
The roots of the equation \(x^{2}-6x + 5=0\) are \(x = 1\) and \(x = 5\).
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2. according to the relationship between central and local governments …
c) Confederal ### Question 2
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4. in an autocracy, the leader’s power is usually: a) shared with a par…
b) Unlimited or held by one person ### Question 5
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19. $f(x) = -x^2 - 2x + 3$ 20. $f(x) = -0.5x^2 + x + 3$ find the $y$-in…
19. Y-intercept: $3$, Axis of symmetry: $x=-1$, Vertex: $(-1, 4)$ 21. Y-intercept: $2$, Axis of symmetry: $x=-2$, Vertex: $(-2, -6)$ 23. Y-intercept: $0$, Axis of symmetry: $x=-2$…
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grade 5 fractions find the product. 1. $1 \\frac{2}{4} \\times 3 \\frac…
1. $5\frac{3}{4}$ 3. $9\frac{1}{2}$ 5. $12\frac{1}{12}$ 7. $5\frac{1}{4}$ 9. $12\frac{2}{9}$ 11. $2\frac{5}{8}$ 13. $4\frac{15}{32}$
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solve $( 26 - 15 )^2 - (15 - 7 - 5)^3$
\(94\)
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divide. use long division 19) ((x^3 - 10x^2 + 7x) div (x - 1)) use synt…
$x^2 -9x -2 - \frac{2}{x-1}$ --- ### Problem 20: $(n^3 - 4n^2 + 9) \div (n - 4)$ (Synthetic Division)
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grade 5 fractie find the product. 1. $1\\frac{2}{4} \\times 3\\frac{5}{…
1. $5\frac{3}{4}$ 3. $9\frac{1}{2}$ 5. $12\frac{1}{12}$ 7. $5\frac{1}{4}$ 9. $12\frac{2}{9}$ 11. $2\frac{5}{8}$ 13. $4\frac{15}{32}$
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subtract. 7.19 - 3.25
\(3.94\)
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subtract. 46.92 - 4.37
\(42.55\)
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subtract. 79.42 - 7.8
\(71.62\)
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divide. 216 ÷ 24
\(9\)
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divide. 156÷39
4
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divide. 177 ÷ 59
3
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select all descriptions that accurately define the meaning of a functio…
- Orange: Every x-coordinate has one unique y-coordinate. - Blue: Every independent variable has one unique dependent variable.
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which of the following correctly explains why sellers in a perfectly co…
c. There are many sellers, and so the market process generates an equilibrium price that cannot be influenced by any one seller. Thus, they have no choice but to take the price ge…
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use transformations of ( f(x) = sqrt{x} ) to graph the following functi…
A. The graph of $f(x)=\sqrt{x}$ should be shifted 2 units down.
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the graph of the function g(x) and its base exponential function f(x) =…
The transformation needed is a reflection over the x-axis, so the function is $g(x) = -2^x$.
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divide: -21 ÷ -3 = submit
7
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use transformations of the graph of $f(x)=x^{2}$ to determine the graph…
B. The graph of $f(x)=x^2$ should be horizontally shifted to the right by 3 units and shrunk vertically by a factor of $\frac{1}{5}$.
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use the graph of the function f(x) to answer the question.question: wha…
$\lim_{x \to -3} f(x) = 1$
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using the graph below, determine the limit as x approaches -1, also fin…
$\lim_{x \to -1^-} f(x) = -5$
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find the value of $f(7)$. $y = f(x)$ answer attempt 1 out of 2
\(4\)
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21) determine the vertex of each quadratic function in vertex form, the…
(a): Vertex is \((5, 4)\), it is a maximum. ### Part b: \( b(x) = 2(x + 4)^2 \)
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graph the equation shown below by transforming the given graph of the p…
The graph of $y=|2x|$ is a horizontal compression of the parent absolute value function $y=|x|$ by a factor of $\frac{1}{2}$, forming a V-shape with vertex at $(0,0)$, passing thr…
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b. cot x (sec x + tan x) = csc x + 1
The identity $\cot x (\sec x + \tan x) = \csc x + 1$ is verified.
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g) \\(\\frac{10}{5} \\cdot -1 - (3^2 + 9 \\cdot 2^0) \\div 2\\)
$-11$
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homework helper stephen’s father gave him $10 to buy lunch at the conce…
\( 4.94 \) ### Problem 2: \( 71.65 - 55.12 \)
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which system of equations best represents the system shown on the graph…
\( \begin{cases}y = x+2\\y=-4x + 17\end{cases} \) (the system with equations \( y = x + 2 \) and \( y=-4x + 17 \))
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polynomial operations maze directions: start in the box labeled \start …
The path goes through the following problem - solution steps: 1. \((3x^{4}-8x)+(2x - 4x^{4})=-x^{4}-6x\) 2. \((2x - 1)(7x - 2)=14x^{2}-11x + 2\) 3. \(x^{2}-(x^{2}+9x - 3)=-9x + 3\…
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cp pre - calculus 4.3 (right triangle trig) quiz review name #1 - 6 sta…
### For #1 - 6 (Right Triangle with Opposite = 5, Hypotenuse = 7, Adjacent = $\sqrt{24}$) #### Step 1: Recall Trigonometric Ratios For an acute angle $\theta$ in a right triangle:…
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pair compare! 1; 9 ÷ 3; 3; with comparison symbols <, =, >
$\boldsymbol{=}$
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the us government gave land to the railroads to help them expand. what …
The grants allowed industries in the West to grow because they encouraged settlement and new industrial opportunities.
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evaluate.\\frac{7(12 - 9)+3}{4^{2}-4}
2
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(04.02 mc) the equation of line wx is 2x + y = -5. what is the equation…
The equation of the perpendicular line is \( y=\frac{1}{2}x-\frac{3}{2} \) (the option corresponding to \( y=\frac{1}{2}x-\frac{3}{2} \), which is the third option in the given ch…
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15. pedro kicks a soccer ball from the top of a hill 48 ft. above the g…
3 seconds
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9) if a population started with 20,000 members and grew continuously at…
Approximately \( \boldsymbol{6.9} \) years (or using more precise calculation, \( t = \frac{\ln 2}{0.1} \approx 6.93 \) years)
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create your own paragraph with the following prompt: 1. identify a hero…
### Rough Draft #### Topic Sentence: Harriet Tubman is a hero who has inspired me through her courage, compassion, and determination. #### Supporting Idea Sentence 1: Her courage …
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point (0,5). 30. what is the equation of a line that is perpendicular t…
$y = \frac{4}{3}x + 5$
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slope = \\frac{\\text{vertical distance}}{\\text{horizontal distance}} …
$\frac{-6}{2}$ (simplified to $-3$)
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6. $3x^{2}+10x + 8 = 0$
\(x = - 2\) or \(x=-\frac{4}{3}\)
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find the slope of the line that passes through: (10, 1) and (5, 2)
$-\frac{1}{5}$
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solution 6 ode shows his work to answer a subtraction problem. tell how…
The original subtraction problem Ode started with is $\boldsymbol{955 - 92 = 863}$, and its answer is 863. Alternatively, the equation representing the problem can be written as $…
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the graph shows g(x), which is a translation of $f(x)=x^2$. write the f…
$g(x)=x^2 - 1$
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the graph shows g(x), which is a translation of f(x) = |x|. write the f…
$g(x) = |x + 6|$
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function a and function b are linear functions. function a \\begin{tabu…
The slope of Function A is greater than the slope of Function B.
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subtract. write your answer as a fraction in simplest form.\\(\frac{9}{…
$\frac{3}{5}$
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evaluate the following expression. \\((10 - 1)\\times 5 - 21\\div 3\\)
8
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evaluate. 68 - 13(7 - 5)^2 + 2^3
24
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3. solve 667 + 295 using two different strategies. a. b. c. explain whi…
a. Using standard addition, \(667 + 295 = 962\) b. Using compensation, \(667 + 295 = 962\) c. Preference: Compensation strategy (e.g., for simplicity in mental calculation).
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3. solve 667 + 295 using two different strategies. a. b. c. explain whi…
a. Using direct addition: \(667+295 = 962\) (shown by place - value addition) b. Using compensation: \(667 + 295=962\) (by rounding 295 to 300, adding and then adjusting) c. Prefe…
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graph the exponential function. $g(x)=4e^{x + 3}+3$ plot two points on …
Horizontal asymptote: \( y = 3 \) (dashed line). Two points: \( (-3,7) \) and \( (-2, 4e + 3)\approx(-2,13.87) \) (or other valid points from substituting \( x \)-values into \( g…
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the image shows a coordinate grid with a graph of a function. there is …
$-3$
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what is the slope of the line that goes through points a and b? solve o…
$-\frac{1}{3}$
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what is the slope of the line that goes through points a and b? subtrac…
The equivalent fraction is $\frac{-2}{8}$ (matches the second option provided)
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what is divergent thinking? being able to see different solutions. limi…
A. Being able to see different solutions
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add. $-6\frac{3}{5} + 8 = square$
\(1\frac{2}{5}\) (or \(\frac{7}{5}\))
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line m goes through points a and b. what is the slope of line m? now, u…
The expression for slope is $\frac{5-2}{8-3}$, and the slope of line $m$ is $\frac{3}{5}$.
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graph the following function by translating ( y = |x| ). ( y = |x + 5| …
B. <Graph with vertex at (-5, 0), opening upwards in a V-shape>
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graph the following function by translating ( y = |x| ). ( y = |x + 4| …
A. (Graph with vertex at (-4, 0))
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subtract in the numerator and denominator to find the slope of line d. …
$\frac{-5}{4}$
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evaluate quadratic functions score: 2/2 penalty: 0.25 off question give…
16
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subtract. 4 - -3.1 =
\(7.1\)
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add. $-3\\frac{1}{5} + 7.8 = \\square$
\(4.6\)
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question given $f(x) = -3x^2 - x - 15$, find $f(-8)$
$-199$
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subtract. \\(\frac{1}{10} - -5\frac{1}{2} = \\) submit
$5\frac{3}{5}$ (or $\frac{28}{5}$)
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question given $f(x) = -4x^2 + 10x + 13$, find $f(7)$
$-113$