Calculus
Limits, derivatives, optimization, and behavior of functions.
-
use the models to complete the multiplication equations. 2. $2 \\times …
$2 \times 5 = 10$ $2 \times 500 = 1000$
-
multiply. $56.9 \\times 7$
398.3
-
1. use place value and properties to multiply. $900 \\times 3 = \\under…
$900 \times 3 = \boldsymbol{9} \times 100 \times 3$ $= 9 \times \boldsymbol{3} \times 100$ $= \boldsymbol{27} \times 100$ $= \boldsymbol{2700}$
-
evaluate the expression. $(-0.18 div -0.6)^2 - 0.46$ write your answer …
-0.37
-
what are the domain and range of the function $f(x)=5^{x-3}+1$?○ domain…
domain: all real numbers range: all real numbers greater than 1
-
answer attempt 1 out of 5 the graph above is a ✓ . its domain can best …
The graph above is a **exponential growth curve**. Its domain can best be described as a subset of the **real numbers**. For every unit that \(x\) increases, the \(y\)-value grows…
-
b. $\frac{1}{2} cdot 4^{x} - 2 = 6x - 6$
$x=1$ and $x=2$
-
question find the equation of the linear function represented by the ta…
$y = -2x - 1$
-
2. show or explain how you know that $2(x) + 2(x - 2)$ and $4(x - 1)$ a…
Both expressions simplify to $4x - 4$, so they are equivalent.
-
ey equal? 5.9 cut out the equations and glue below. make the number sen…
1. $9+2 = 12-1$ 2. $10-5 = 2+3$ 3. $6+3 = 9+0$ 4. $2+1 = 8-5$ 5. $10-0 = 5+5$ 6. $7+0 = 4+3$
-
write the following number in standard form. do not round.$1.49 \\cdot …
14900 0.0351
-
a stock trader uses the equation below to model the price of a stock. i…
(a) Plot points: $(0,50)$, $(-1,60)$, $(-2,90)$, $(1,60)$, $(2,90)$; draw the upward-opening parabola. (b) Inequality: $\boldsymbol{50\le y\le300}$; Select: *The range of $y=10x^2…
-
d. the function is even. the graph has no x-intercept. the graph has a …
The function that satisfies all the given conditions is $f(x) = |x| + \frac{1}{x^2 - 1}$. To graph this function: 1. **Symmetry**: Since it's even, graph the right half ($x \geq 0…
-
(a) graph the relationship \\( y = 15x^2 \\). to do so, plot five point…
### Part (a) Plot the vertex $(0,0)$, left points $(-1,15), (-2,60)$, and right points $(1,15), (2,60)$ then draw the parabola. ### Part (b) Inequality: $-4 \leq x \leq 4$ Descrip…
-
complete the parts below. (a) graph the parabola $y=-16x^{2}+32x$. to d…
Five points to plot: 1. Vertex: $(1, 16)$ 2. Left of vertex: $(0, 0)$, $(-1, -48)$ 3. Right of vertex: $(2, 0)$, $(3, -48)$ Plot these points and connect them to graph the parabol…
-
select the correct answer from each drop-down menu. if $f(x) = 0.5x^2 -…
The missing coefficient is $\boldsymbol{1}$
-
a warehouse safety technician uses the equation below to model the heig…
## Part (a) Points to plot: Vertex: $(0, 256)$; Left points: $(-4, 0)$, $(-2, 192)$; Right points: $(2, 192)$, $(4, 0)$ ## Part (b) Positive x-intercept: $4$ Description: The time…
-
find the exact location of all the relative and absolute extrema of the…
$f$ has an absolute minimum at $(x,y) = (2, -36)$ (smallest $x$-value for the global minimum; the left endpoint $(0, -20)$ is a relative maximum) $f$ has an absolute maximum at $(…
-
a stockbroker uses the quadratic function to model the price of a stock…
### (a) Plotted points: Vertex: $(0, 25)$ Left points: $(-1, 30)$, $(-2, 45)$ Right points: $(1, 30)$, $(2, 45)$ ### (b) Inequality: $25 \leq y \leq 150$ Description: *The range o…
-
the function $f(x) = 6x^3 + 36x^2 - 576x + 6$ is decreasing on the inte…
Decreasing interval: $(-8, 4)$ Increasing interval upper bound: $-8$ Increasing interval lower bound: $4$ Local maximum at: $x=-8$
-
find the exact location of the relative and absolute extrema of the fun…
$g(x)$ has an absolute minimum at $(x,y) = (3, -48)$. $g(x)$ has an absolute maximum at $(x,y) = (-3, 60)$. $g(x)$ has a relative minimum at $(x,y) = (-1, 0)$. $g(x)$ has a relati…
-
which of the following equations does the graph below represent? answer…
$3x - 3y = 12$
-
you are running a business selling homemade bread. your weekly revenue …
a. $P(q) = -0.1q^2 + 44q - 30$ b. $P'(q) = -0.2q + 44$ c. $q = 220$ loaves of bread
-
9 fill in the blank 1 point find the value of y when x is 4. 10 fill in…
For question 9: $-5$ For question 10: $0$
-
compare the parts below. (a) graph the equation, $y=3x^2 + 23$. to do s…
1. Plot points: $(0,25)$, $(-2,37)$, $(-1,28)$, $(1,28)$, $(2,37)$ then graph the parabola. 2. Inequality: $\boldsymbol{25 \leq y \leq 100}$ Description: The range of $y=3x^2+25$ …
-
complete the parts below. (a) graph the parabola $y = 3x^2 + 25$. to do…
(a) Plot the points: $(0,25)$, $(-1,20)$, $(-2,5)$, $(1,20)$, $(2,5)$ then draw the downward-opening parabola through them. (b) Inequality: $\boldsymbol{-100\leq y\leq25}$ Descrip…
-
question what is the equation of the line that passes through the point…
$y = -\frac{1}{2}x + 4$ (or in standard form: $x + 2y = 8$)
-
draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $\frac{1}{3}$
-
find the exact location of all the relative and absolute extrema of the…
f has an absolute minimum (smallest x-value) at $(x,y)=(1, -12)$ f has an absolute maximum (largest x-value) at $(x,y)=(3, 0)$
-
the function $f(x) = -2x^3 - 3x^2 + 12x - 3$ is increasing on the inter…
Increasing interval: $(-2, 1)$ Decreasing intervals: $(-\infty, -2)$ and $(1, \infty)$ Relative maximum at $x=1$
-
hw problem 2 standard: $q(x) = 2x^3 + 6x^2 - 8$ factored: $q(x) = 2(x -…
- Degree: $3$ - Leading Coeff: $2$ - End Behavior: As $x\to+\infty$, $q(x)\to+\infty$; As $x\to-\infty$, $q(x)\to-\infty$ - Y-intercept: $(0, -8)$ - Real Zeros: $x=1$, $x=-2$ - Mu…
-
3. let $f(x) = x^3$. from the list below, select the three statements t…
A. $f(0)=0$ C. $f(-2)=-8$ D. $f(2)=8$
-
$f(x) = 4x^3 - 6x^2 - 240x - 6$ is decreasing on the interval ($\boldsy…
Decreasing interval: $(-4, 5)$ Increasing interval endpoint: $-4$; Increasing interval endpoint: $5$ Local maximum at: $x=-4$
-
which statement best explains why the tenth amendment reserves some rig…
The framers believed in the principle of federalism.
-
evaluate: $g(f(3))$ $y = f(x)$ $y = g(x)$
9
-
edwards v. south carolina is significant because it limited states abil…
B. restrict the freedom of assembly.
-
hw problem 1 standard: $p(x) = 2x^4 - 8x^3 + 12x^2 - 8x + 2$ factored: …
Degree: $4$ Leading Coeff: $2$ End Behavior: As $x\to+\infty$, $p(x)\to+\infty$; As $x\to-\infty$, $p(x)\to+\infty$ (or $ earrow/ earrow$) Y-intercept: $(0, 2)$ Real Zeros: $x=1…
-
2 - facilísimo unlimited attempts left due february 12th 8:00 am rewrit…
1. Miguel y Maru están cansadísimos. 2. Felipe es jovencísimo. 3. Jimena es inteligentísima. 4. La madre de Marissa está contentísima. 5. Estoy aburridísimo.
-
graph this line using the slope and y-intercept:$y = 8x + 2$click to se…
Plot the points $(0, 2)$ and $(1, 10)$, then draw a straight line passing through both points to represent the line $y=8x+2$.
-
read the passage.mary anning found and researched fossils in england in…
Mary Anning, who found numerous fossils of ancient animals, made significant scientific contributions in spite of obstacles.
-
find the range of the quadratic function. $y = -x^2 + 6x - 11$ write yo…
$y \leq -2$
-
though the outcomes of schenck and new york times differed, what did th…
The government can limit speech that causes harm.
-
repaso unlimited attempts left due february 12th 8:00 am completa el si…
1. Ésta es la escuela más pequeña del país. 2. La paella es el plato más típico de España. 3. Pancho es el estudiante más malo de la clase. 4. Anita es la más vieja de sus hermana…
-
$y = 96x - 18x^{2}$ complete the parts below. (a) graph the parabola $y…
(i) Plot the points $(3,144)$, $(1,80)$, $(2,128)$, $(4,128)$, $(5,80)$ and draw a smooth parabola through them. (ii) Inequality: $0 < x < 3$ Description: The function $y = 96x - …
-
1 match the polynomial with its end behavior. a $f(x)=-2x + 3$ 1 as $x$…
A → 3 B → 1 C → 2 D → 4 --- ### Problem 2:
-
eater than 1. $5\\frac{1}{4} \\div 7$ $= 5\\frac{1}{4} \\cdot \\frac{1}…
$\frac{21}{4}$
-
$=8\frac{1}{3} cdot \frac{1}{10}$ $= \frac{25}{3} cdot \frac{1}{10}$ $s…
The missing step is $\boldsymbol{=\frac{25 \cdot 1}{3 \cdot 10}}$ and the final simplified answer is $\boldsymbol{\frac{5}{6}}$
-
look at this graph: what is the y-intercept?
$0$
-
$8dfrac{1}{3}divdfrac{10}{1}$ $=8dfrac{1}{3}cdotdfrac{1}{10}$ $=dfrac{2…
First box (missing step label): $\boldsymbol{\text{Multiply fractions directly}}$ Second box (final simplified value): $\boldsymbol{\frac{5}{6}}$
-
an appliance company determines that in order to sell $x$ dishwashers i…
1600 dishwashers
-
6 - ¿más o menos?unlimited attempts left due february 12th 8:00 amwrite…
1. La biblioteca tiene más sillas que el laboratorio de lenguas. 2. Ramón compró tantas corbatas como Roberto. 3. Yo comí menos platos de pasta que mi hermano. 4. Anabel durmió ta…
-
first, find $f(x)$. then determine all critical values for the function…
$-1, 1$
-
$7\frac{1}{2}div\frac{9}{1}$ $=7\frac{1}{2}cdot\frac{1}{9}$ $=\frac{15}…
$\frac{5}{6}$
-
1 - ¿como se comparan? unlimited attempts left due february 12th 8:00 a…
1. más pequeño que 2. más rápido que 3. tan sabrosos como 4. más altos que 5. más trabajadora que 6. menos inteligente que 7. tan mala como 8. menos gordos que
-
find the equation of the quadratic function g whose graph is shown belo…
$g(x)=(x-3)^2+3$ or $g(x)=x^2-6x+12$
-
find the equation of the quadratic function g whose graph is shown belo…
$g(x)=3(x+2)^2-6$ or $g(x)=3x^2+12x+6$
-
which statements best describe how businesses can take advantage of glo…
- using lower labor costs in other countries - transporting resources quickly from distant locations - communicating more quickly with other countries
-
repaso unlimited attempts left due february 12th 8:00 am completa el si…
1. Yo tengo tantas clases este año como el año pasado. 2. Mi padre viaja menos que tu padre. 3. Margarita no habla francés tan bien como tú. 4. En mi clase hay más chicos que chic…
-
1. what is the sum? decompose both addends to solve. a. $149 + 362 = ?$…
a. $149 = 100 + 40 + 9$, $362 = 300 + 60 + 2$ b. Add hundreds: $100 + 300 = 400$; Add tens: $40 + 60 = 100$; Add ones: $9 + 2 = 11$ c. Add partial sums: $400 + 100 + 11 = 511$ Fin…
-
1. consider $\frac{3}{5} div \frac{2}{3}$.a. draw a tape diagram of $\f…
1. a. Quotient: $\frac{9}{10}$ b. Confirmed quotient: $\frac{9}{10}$ 2. $\boxed{1}$ 3. $\boxed{5}$ 4. $\boxed{6}$ 5. A. $\frac{2}{3}\div\frac{4}{7}=\frac{2}{3}\times7\div4$, C. $\…
-
fractions w5b prepare - evaluating expressions with fractions score: 2/…
$-5.82$
-
find and write the missing numbers to make the equations true. 11. $13 …
11. 15 12. 3 13. 12 14. 40 15. 63; Number story: Lila has 28 stickers, and her friend gives her 35 more. How many stickers does Lila have in total? The matching equation is $28 + …
-
2. what basic principle of mercantilism was disproved by adam smith in …
that there was a fixed and limited amount of wealth in the world
-
10. $y=\\frac{1}{2}\\cdot2^{x}-4$ growth / decay domain: ________ range…
Growth / Decay: Growth Domain: $(-\infty, \infty)$ Range: $(-4, \infty)$ y-intercept: $\boldsymbol{-\frac{7}{2}}$ (or $-3.5$) Asymptote: $\boldsymbol{y=-4}$
-
1. how did the reform act of 1832 change the organization of political …
The Reform Act of 1832 redrew the lines of parliament districts to reflect an industrialized England.
-
4. why did adam smith believe that factory workers should be paid highe…
A. Adam Smith knew that higher wages would grow the economy.
-
4. what role did adam smith play in moving europe away from mercantilis…
Adam Smith proved that capitalism, not mercantilism, let to the greatest increase in a nation's wealth.
-
¿en qué intervalo del dominio la función es creciente? a. $(-\\infty, 4…
DO. $(-\infty, -4)$
-
question 13. the table represents some points on the graph of quadratic…
B. All real numbers less than or equal to $\frac{19}{4}$
-
considere la función por partes dada.$f(x) = \\begin{cases}-(3x + 7); &…
Las secciones donde la función es decreciente son: 1. $x < -3$ (rama azul del gráfico) 2. $-3 \leq x \leq 0$ (parte izquierda de la rama roja del gráfico) 3. $x > 3$ (rama derecha…
-
1-5 lesson quizsolving equations and inequalities by graphing1. sketch …
1. (Graph: Plot $y=-2|x-1|+3$ (V-shaped, vertex at (1,3), slope $\pm2$) and $y=\frac{2}{5}x-\frac{11}{5}$ (line with slope $\frac{2}{5}$, y-intercept $-\frac{11}{5}$); their inter…
-
write a rule for $g$. let the graph of $g$ be a translation 2 units dow…
$\log(-x) - 2$
-
write a rule for $g$. let the graph of $g$ be a vertical stretch by a f…
$g(x)=3e^{x+6}+3$
-
country x- universal healthcare system- mixed level of government inter…
C. Country Z
-
explain the concept of marginal cost. how does it relate to cost? how i…
1. How does the marginal cost relate to cost? A. Marginal cost refers to the rate of change of cost. 2. How is the marginal cost found? B. Marginal cost is found by taking the der…
-
11 country x - universal healthcare system - mixed level of government …
B. Country Y
-
country x- universal healthcare system- mixed level of government inter…
C. Country Z
-
explain the concept of marginal cost. how does it relate to cost? how i…
1. How does the marginal cost relate to cost? A. Marginal cost refers to the rate of change of cost. 2. How is the marginal cost found? B. Marginal cost is found by taking the der…
-
7. $y=\\frac{1}{2}\\cdot4^{x}$ growth / decay domain: ________ range: _…
Growth / Decay: Growth Domain: $(-\infty, +\infty)$ Range: $(0, +\infty)$ y-intercept: $\frac{1}{2}$ Asymptote: $y=0$
-
at what point(s) on the graph of $f(x)=x^3 + 12x^2 + 54x + 14$ is the s…
$(-4, -74)$
-
find all the values of x where the tangent line is horizontal. $f(x)=2x…
$x = -7$ and $x = -5$
-
find the derivative of $f(x)=\\cot(2x^4 + 10x).$ $\\bigcirc$ $f(x)=-\\c…
$f'(x) = -(8x^3 + 10)\csc^2(2x^4 + 10x)$ (the fourth option)
-
52,455×5,555 291,387,525
291,387,525
-
find the slope of the tangent line to the graph of the given function a…
$\frac{41}{8}$
-
which of the relationships below represents a function with a greater s…
D. The function with the table: $x$: $-4, 0, 4, 8$; $y$: $-13, -5, 3, 11$
-
1. $\begin{array}{r} square \\ \times 5 \\ hline 10 end{array}$ $xright…
The value in the box is 2, and the result of $5 \enclose{longdiv}{10}$ is 2.
-
which of the relationships below represents a function with the same ra…
C
-
find the slope of the tangent line to the graph of the given function a…
$\frac{41}{8}$
-
$f(x)=x^{2}+8x+12$ $-7,-4$ $boc = \\underline{\\quad\\quad}$
$[-4, 5]$
-
1. $\begin{array}{r} square \\ × 5\\ hline 10 end{array}$ $\boldsymbol{…
2. $4$ 3. $4$ 4. $4$ 5. $2$ 6. $3$ 7. $9$ 8. $4$ 9. $5$ 10. $4$ 11. $3$ 12. $5$
-
name: jasean watts date: 02/10/24 bell: unit 4: linear equations homewo…
1. For $y=-\frac{2}{5}x-3$: Line passes through $(0,-3)$ and $(5,-5)$, extended. 2. For $y=\frac{1}{2}x+2$: Line passes through $(0,2)$ and $(2,3)$, extended. 3. For $y=6x-5$: Lin…
-
complete the table and then graph the function. $f(x)=2x + 20$ | $x$ | …
Completed table: | $x$ | $f(x)$ | |-----|--------| | $-9$ | $2$ | | $-8$ | $4$ | | $-6$ | $8$ | Graph points to plot: $(-9, 2)$, $(-8, 4)$, $(-6, 8)$; draw a straight line through…
-
move at least one of the 3 guide points below to complete the graph of …
1. Move the blue vertex point to $(-2, 0)$ 2. Move the first red point to $(-1, 1)$ 3. Move the second red point to $(2, 2)$ This will complete the correct graph of $y=\sqrt{x+2}$.
-
functions over the start box. use your solution to move t ished! box. s…
3
-
consider the following limit statement:$lim_{x \to -1} (5x + 11) = 6$fi…
$\boldsymbol{\delta=0.001}$ (Option: $\boldsymbol{\delta = 0.001}$)
-
final milestone | calculus i final milestone calculate $intleft(48sqrt3…
$\frac{144}{5}x^{\frac{5}{3}} + 23x - 21\ln|x| - \frac{5}{x^5} + c$ (matches the first option)
-
final milestone consider the function $f(x) = -x^2 - 4x + 5$. use it to…
A. $f(2) = - 7$, $f(-3) = 8$, $f(a - 4) = -a^2 + 4a + 5$
-
question 19 for $varepsilon > 0$, find $delta > 0$ necessary to prove $…
$\boldsymbol{\delta = \frac{\varepsilon}{9}}$ (corresponding to the first option)
-
find the global maximum and minimum points of the function $f(x)=3x^5 -…
The global minimum is -29 at x = -2. The global maximum is 621 at x = 3.
-
write newtons formula used to approximate $sqrt3{7.5}$, a solution of t…
$x_{n+1}=x_n-\frac{x_n^3 - 7.5}{3x_n^2}; x_3\approx 1.957433821$