微積分
極限、導數、最優化與函數性質。
-
what is the slope of the line that passes through the points (2, 2) and…
\( 0 \)
-
which value is the best estimate for \\(\\sqrt{640}\\)? \\(\\bigcirc\\)…
B. 25
-
given the function f(x) = 2x + 3, describe the transformation represent…
Horizontal translation 5 units to the right.
-
given the graph identify the interval of decrease. 0 ≤ x < 3; 0 ≤ x < 6…
3. \( 3 < x \leq 6 \)
-
what is the slope of the line that passes through the points (1,1) and …
1
-
which of the following will be accomplished by efficient allocations of…
C. fulfilling many needs and wants of society (assuming the options are labeled A - D with this as the third option, but based on the text, the correct option is the one stating "…
-
lding your weekly streak! 0 streak what is the slope of the line? 2 of 4
2
-
which of the following best illustrates the importance of addressing th…
B. Businesses need to use limited resources wisely.
-
signed fraction addition or subtraction: try again your answer is incor…
$\frac{1}{10}$
-
1. which best describes social darwinism? a. belief that european races…
1. A. Belief that European races were superior to all others and justified imperialism 2. D. Spheres of Influence 3. C. Open Door Policy
-
you might need: calculator what is the slope of the line? show calculat…
$-\frac{3}{4}$
-
Question was provided via image upload.
Part 1: First blank: B. 3; Second blank: B. 3 Part 2: Slope: A. bracelets Alexander makes each day; y-intercept: B. bracelets Alexander bought at the craft fair (Note: Assuming th…
-
eksandar decides to make his own bracelets. he makes the graph below to…
y = C. 6 x + B. 3
-
lines m and n are parallel. line m is described by the equation $y = 4x…
C. \(y + 3=4(x - 1)\)
-
given the graph identify the interval of decrease. 0≤y<3 0≤x<3 0≤x<6 3<…
D. \( 3 < x \leq 6 \) (assuming the last option is D; if options are labeled as per the order: the fourth option \( 3 < x \leq 6 \))
-
graph the parabola represented by the following equation: $f(x) = 2x^2 …
The vertex of the parabola \( f(x)=2x^{2}-4x - 6 \) is \( (1,-8) \), and a second point on the parabola (for example) is \( (0,-6) \). When graphing, plot \( (1,-8) \) first and t…
-
1. drag and drop the terms with the definitions. defining guidelines; b…
1. parameter - defining guidelines; boundaries or limits 2. consensus - the opinion of an overwhelming majority 3. compromise - to settle a disagreement by adjusting claims, ideas…
-
a bucket is being filled with water. the height (in mm) y varies direct…
\( y = 15x \)
-
path of cannon ball height(feet) time (seconds) sven shoots a cannon ba…
C. about 2 feet
-
y = -3x + 7 y = x + 1 (\\boxed{ }, \\boxed{ }) submit
\((1.5, 2.5)\) (or as fractions \((\frac{3}{2}, \frac{5}{2})\))
-
find the slope of the graph and describe the meaning. (4, 3) (-2, -1) o…
La pendiente de la gráfica es \(\frac{2}{3}\).
-
a unit circle is shown below $90^{\\circ}=\\frac{\\pi}{2}$ radians. if …
B. 1.57 units
-
in 2010, mexico imposed a limit of 250,000 tons of sugar that could be …
Quota (the option labeled "Quota" among the three options)
-
given the functions f (x) = 2x − 5 and g(x), represented in the table, …
\( g(x) \) has a greater rate of change.
-
a store sells two candles. one is 14 cm tall and burns at a constant ra…
The first candle has a domain of \(0\leq t\leq14\) and the second candle has a domain of \(0\leq t\leq24\). The second candle has a larger domain.
-
the sarbanes-oxley act of 2002 was intended to meet which major objecti…
C. protect the assets of an organization for business use
-
describe and correct the error a student made in multiplying \\(\\sqrt3…
A. The error occurs in the third line of the student's work because the student pulled out two factors of 2 and two factors of 3 from the radicand. The correct final answer is \(6…
-
f(x) = \\frac{x^2 - 3x - 10}{x + 2} step 1: find all vertical asymptote…
- **Step 1**: Hole at \((-2, - 7)\), no vertical asymptote. - **Step 2**: \(\lim_{x ightarrow\infty}f(x)=\infty\), \(\lim_{x ightarrow-\infty}f(x)=-\infty\), slant asymptote \(y =…
-
use technology to evaluate the expression. $left(\\frac{3}{8}\ ight)^{\…
\(0.640\)
-
graph the following features: - slope = 1/3 - y-intercept = -1
To graph the line with slope \(\frac{1}{3}\) and y - intercept \(- 1\): ## Step 1: Plot the y - intercept The y - intercept is the point where the line crosses the y - axis. For a…
-
use technology to evaluate the expression. $6^{3.6}$ $6^{3.6} \\approx …
\(6^{3.6}\approx 420.787\)
-
rational function relay #4 $f(x) = \\frac{x}{x^2 + 1}$ step 1: find all…
- Step 1: No vertical asymptotes, no holes. - Step 2: \(\lim_{x \to \infty} f(x) = 0\), \(\lim_{x \to -\infty} f(x) = 0\); horizontal asymptote \(y = 0\). - Step 3: x - intercept …
-
use technology to evaluate the expression. $6^{3.6}$ $6^{3.6} \\approx …
\(404.822\)
-
practice: piecewise functions 1 evaluate: $f(-4) =$ $f(-3) =$ $f(-1) =$…
f(-4)=3 f(-3)=4 f(-1)=1 f(2)=-3 Zeros: x≈-0.5, x=1 y-intercept: 0.5 Domain: [-4, ∞) Range: [-3, ∞) Extrema: Minimum at (2, -3) Inc/Dec/Constant: Dec on [-4,2), Inc on (2,∞) Contin…
-
25 multiple choice 1 point solve the problem. the rate of expenditure o…
\( M(x) = 3(x^2 + 5)^{\frac{3}{2}} - 5 \) (the last option)
-
30 mark for review in the following expression, the variable truckweigh…
C. True
-
24 multiple choice 1 point evaluate. \\(\\int \\frac{7e^{3x}}{e^{3x} + …
\(\frac{7}{3} \ln (e^{3x} + 1) + C\) (the second option)
-
evaluate. \\( \\int \\frac{5x^4}{(6 + x^5)^4} \\, dx \\) \\( -\\frac{5x…
\( -\frac{1}{3(6 + x^5)^3} + C \) (the fourth option: \( -\frac{1}{3(6 + x^5)^3} + C \))
-
22 multiple choice 1 point evaluate. \\( \\int_{1}^{e} \\left( 20x - \\…
\(10e^{2}-19\) (the first option among the given choices)
-
answer original slope: undefined perpendicular slope: undefined submit …
Original Slope: undefined Perpendicular Slope: 0
-
complete the following code segment: code block with display x + y and …
B. 8
-
walking the dog through the park 1) what interval(s) did the person sto…
1. Interval \(5\) 2. In interval \(1\), velocity increases at a slower rate than in interval \(2\) 3. The person first speeds up (interval \(3\)) and then slows down (interval \(4…
-
20 multiple choice 1 point use geometry to evaluate the definite integr…
4.5 (corresponding to the option with 4.5)
-
graph the function $g(x) = \\frac{1}{2}x - 6$.
A straight line passing through (0, -6) and (2, -5) with slope 1/2.
-
19 multiple choice 1 point find f such that the given conditions are sa…
\( f(x)=\frac{1}{3}x^{3}-\frac{7}{2}x^{2}+11x + 6 \) (the fourth option)
-
graph the function $g(x) = \\frac{4}{3}x + 1$.
A straight line passing through (0,1) and (3,5) on the coordinate plane.
-
determine whether the statement below is true or false. the graph of a …
False
-
solve the problem. a business estimates that the salvage value v of a p…
\( V'(t) = -1,512,000e^{-42t} \) (the third option)
-
if x has a value of 9 and y has a value of 10, what is displayed as a r…
B. True
-
multiply: $28 \\times 5\\frac{11}{14}$ a $145\\frac{11}{14}$ b 164 c 16…
C. 162
-
graph the function $g(x) = -\frac{1}{5}x - 1$.
A straight line passing through (0, -1) and (5, -2) on the given coordinate plane.
-
determine the vertex form and the maximum or minimum value of the funct…
D. \(f(x)=2(x + 2)^{2}-5\), the minimum value of \(f\) is \(-5\)
-
17 multiple choice 1 point find the derivative. y = e^{x^4} ln x \\bigc…
The first option: \(\frac{e^{x^4} + 4x^4 e^{x^4} \ln x}{x}\) (the first circle option)
-
below is the table of values of a function. write the output when the i…
5n
-
16 multiple choice 1 point differentiate implicitly to find the slope o…
\(0\) (corresponding to the option with value \(0\))
-
graph the function $f(x) = -dfrac{3}{4}x + 2$.
A straight line passing through (0,2) and (4,-1) on the given coordinate plane.
-
graph the parabola, $y = 3x^2$ plot five points on the parabola; the ve…
The five points are $(-2,12), (-1,3), (0,0), (1,3), (2,12)$; plot these to graph the parabola.
-
15 multiple choice 1 point find dy/dx by implicit differentiation. 8y² …
\(\frac{3x}{8y}\) (corresponding to the option with this expression)
-
what is an equation of the line that passes through the points (-4, -6)…
\( y=-6 \)
-
solve the problem. find the number of units that must be produced and s…
33 units
-
use point - slope form to write the equation of a line that passes thro…
The equation of the line in point - slope form is $y + 11=-\frac{1}{5}(x + 13)$
-
$\\frac{4}{5}+\\frac{2}{8}=$ a $\\frac{16}{5}$ b $\\frac{5}{16}$ c $\\f…
A. \(\frac{16}{5}\)
-
graph the parabola. \\( y = -2x^2 \\) plot five points on the parabola:…
Plot points: $(0,0)$, $(-1,-2)$, $(-2,-8)$, $(1,-2)$, $(2,-8)$ then draw the parabola.
-
12 multiple choice 1 point find the relative extrema of the function, i…
Relative maximum at (0, -8); relative minima at (1, -9), (-1, -9) (the first option)
-
11 multiple choice 1 point find the equation of the line tangent to the…
\(y=\frac{8}{5}x+\frac{64}{5}\) (the first option)
-
divide: 63÷6 a 10.05 b 9.15 c 10.5 d 9.25
C. 10.5
-
first score: first attempt due: final corrections due: final score: 2 e…
f(-4)=-2 f(-3)=0 f(-1)=-1 f(3)=-4 Zeros: x=-3 y-intercept: -1 Domain: [-4,4] Range: [-4,2] Extrema: Max=2 at x=-1.5, Min=-4 at x=4 Inc/Dec/Constant: Increasing on [-4,-1.5], Decre…
-
opes of parallel/perpendicular lines score: 0/2 penalty: 1 off question…
$\frac{4}{3}$
-
9 multiple choice 1 point find f(x) for the following function. f(x) = …
\( 2(4x + 4)^4(24x + 4) \) (the third option)
-
17/68 specialization products a country makes best that are demand on t…
The first option (Products a country makes best that are demand on the world market)
-
differentiate. $f(x) = \\frac{5}{(2x - 3)^4}$ $\\bigcirc$ $f(x) = \\fra…
\( f'(x)=\frac{-40}{(2x - 3)^5} \) (the fourth option)
-
5 multiple choice 1 point is f(x) continuous at x = 4? f(x) = \\begin{c…
No
-
for the following function, \\( f(x) = \\frac{6}{x + 9} \\) (options: \…
No (the option "No")
-
for the following function, determine \\( \\lim_{h \\to 0} \\frac{f(a +…
\(-\dfrac{6}{(a + 9)^2}\) (corresponding to the option: \(-\dfrac{6}{(a + 9)^2}\))
-
3 multiple choice 1 point evaluate the limit, if it exists. \\(\\lim\\l…
\(\frac{6}{5}\) (corresponding to the option with \(\boldsymbol{\frac{6}{5}}\))
-
in 2010, mexico imposed a limit of 250,000 tons of sugar that could be …
A. Quota
-
4. the calculbus and the yammobile are both lined up 10 miles apart at …
180 mph
-
1 multiple choice 1 point for the following limit, if it exists. \\(\\l…
5 ### Question 2
-
question 11 which statement best describes the difference between the g…
The United States has a limited government where leaders must follow laws and citizens have rights, while Venezuela has an unlimited government where leaders hold most power and c…
-
2. consider the function $f(x) = \\sin x$.\ a. is this a periodic funct…
Yes, \(y = \sin x\) is a periodic function and its period is \(2\pi\).
-
3. while playing his latest video game, mr. henderson notices that he i…
$34.02\pi$ feeds per second (or $\frac{1701}{50}\pi$)
-
the graph shows g(x), which is a translation of f(x) = x². write the fu…
\( g(x)=(x - 4)^{2}-4 \)
-
12) $6 \\div 3$ 14) $-45 \\div 9$ 16) $-2\\frac{1}{5} \\div \\frac{-6}{…
12) \(2\) 14) \(-5\) 16) \(1\frac{5}{6}\)
-
find the intercepts of the function. $f(x) = x^3 - 3x^2 - 4x + 12$ answ…
The x - intercepts of the function \(f(x)=x^{3}-3x^{2}-4x + 12\) are \(x=-2\), \(x = 2\) and \(x = 3\)
-
the graph shows g(x), which is a translation of f(x) = x². write the fu…
\( g(x) = (x - 5)^2 \)
-
how many x-intercepts would the function shown below have? $f(x) = 2(x …
4
-
the graph shows g(x), which is a translation of f(x) = x². write the fu…
\( g(x) = (x - 4)^2 - 2 \)
-
look at the following diagram, which shows agreements that occurred dur…
B. avoid disputes that could escalate into war
-
find the zeros of the function \\( f(x) = 0.1x^2 - 0.4x - 2.2 \\). roun…
The zeros of the function are \( x \approx -3.099 \) and \( x \approx 7.099 \) (rounded to the nearest thousandth). If we consider one of them (as the interface allows adding a ze…
-
which statement is true regarding the graphed functions? options: - ( f…
# Explanation: ## Step1: Analyze \( f(4) \) To find \( f(4) \), look at the blue line \( f(x) \). At \( x = 4 \), the \( y \)-value (from the graph) is \( -8 \) (since moving 4 un…
-
question find the zeros of the function $f(x) = 1.8x^2 - 16x + 30.5$. r…
\( x \approx 2.769 \) and \( x \approx 6.120 \)
-
8) $f(x) = 4x - 4$; find $f(2)$
\( 4 \)
-
7) $f(x) = -x^2 + 4x - 3$; find $f(1)$
\( 0 \)
-
6) f(x) = x² + 10x + 20; find f(-3)
\( f(-3)=-1 \)
-
5) $f(x) = 2x + 4$; find $f(-5)$
\( -6 \)
-
find all x-intercepts of the following function. write your answer or a…
\( (9,0) \)
-
8. describe the end behavior of ( f(x) = 0.25x^3 - x^2 - 1 ).
As \(x\to+\infty\), \(f(x)\to+\infty\); as \(x\to-\infty\), \(f(x)\to-\infty\).
-
10) f(x)=3x - 8; find f(4) - f(-3)
21
-
f(x) = -4x - 8 first image (left): this appears to be a polynomial of d…
### First Graph: - "This appears to be a polynomial of degree 3": No - "This function appears to have a negative leading coefficient": No - "This function appears to be \( f(x) \)…
-
question 33 (1 point) _____ are the inexpensive goods and services that…
B. Convenience products ### Question 34