微積分
極限、導関数、最適化、関数挙動。
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Question was provided via image upload.
First? : 5; Second? : 2; Third? : 3
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5,2 - 3,1 × 0,5 - 0,2 =
\( 3,45 \)
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the volume of the stones in the inner circle can be represented by the …
5340
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there was a sample of 450 milligrams of a radioactive substance to star…
\( y = 450(0.904)^t \)
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2\\frac{6}{7} + 2\\frac{1}{2} = 2\\frac{12}{14} + 2\\frac{7}{14} = 4\\f…
First '?': 5, Second '?': 5
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graph ( f(x) = 2^x ) and ( g(x) = log_2 x ) in the same rectangular coo…
The Middle Graph (assuming the second graph in the vertical arrangement of the four graphs, with the exponential and logarithmic curves having the correct properties of passing th…
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add the mixed numbers. enter your answers. $2\\frac{8}{7} + 2\\frac{1}{…
First box: 10, Second box: 7, Third box: 17
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solve the logarithmic equation. be sure to reject any value of x that i…
$\frac{x + 21}{x - 5}=27$
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1\\frac{4}{5} + 4\\frac{4}{7} = 1\\frac{28}{35} + 4\\frac{20}{35} = 5\\…
First blank: 13, Second blank: 13 (In the order of the blanks in the problem, the first "?" is 13 and the second "?" is 13)
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evaluate the expression without using a calculator. \\log _{10}\\frac{1…
\(-1\)
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add the mixed numbers. enter your answers. $1\\frac{4}{5} + 4\\frac{4}{…
First? : 28, Second? : 20, Third? : 48
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solve the logarithmic equation. be sure to reject any value of x that i…
-4
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solve the following exponential equation. express the solution set in t…
The solution set in terms of natural logarithms is \( \{0, \ln(11)\} \), and the decimal approximations are \( 0, 2.3979 \) (rounded to four decimal places).
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complete the sentences about resizing the number 6. 4×6 > 6 the product…
4 times as big as
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complete the sentences about resizing the number 6. 4 × 6 = 6 the pl < …
\(4\times6\ >\ 6\)
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solve the following exponential equation. express the solution set in t…
The solution set is \( \{0, \ln(5)\} \) (or in decimal approximation, \( \{0, 1.6094\} \))
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complete the sentences about resizing the number 6. 4×6 ? 6 the product…
First blank: 24 (since 4×6 = 24) Second blank: 24 (the product of 4 and 6 is 24)
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solve the following exponential equation. express the solution in terms…
The solution in terms of natural logarithms is \(x = \frac{-3\ln(3)-4\ln(2)}{5\ln(2)-\ln(3)}\) (or equivalent form \(x=\frac{3\ln(3) + 4\ln(2)}{\ln(3)-5\ln(2)}\))
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complete the sentences about resizing the number 4. 3 × 4 ? 4 the produ…
First dropdown: \(>\) (or "greater than") Second dropdown: "greater than" (and the product is 12, which is greater than 4)
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solve the following exponential equation. express the solution in terms…
In terms of logarithms: \(x = \frac{\ln(3^{3}\times2^{4})}{\ln(3)-\ln(2^{5})}=\frac{\ln(27\times16)}{\ln(3)-\ln(32)}=\frac{\ln(432)}{\ln(\frac{3}{32})}\) (or \(x=\frac{3\ln(3)+4\l…
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which statement best describes city life during the han dynasty? ○ citi…
A. Citizens held many different jobs
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which best describes a central bank’s primary goals? ○ limiting inflati…
A. limiting inflation and reducing unemployment
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which number is 0.1 less than 6.88? 6.87 6.98 6.78 6.881
6.78 (corresponding to the option with 6.78)
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what does the picture show about one of the main points of legalism? ○ …
A. The number of ships suggests that production and transportation were major focuses.
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determine the slope of the line through the given points. (2, 1) and (-…
A. The slope is \(-\frac{2}{3}\).
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consider the graph to the right. a. in words, describe the function sho…
C. It is a good model if speed is constant for 9 hours.
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when a government decides to limit the number of goods that can be sold…
B. trade policy
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which statement explains a way how the securities and exchange commissi…
D. The SEC generally oversees financial advisers.
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now use the number line to find the missing factor. 0.7 times what numb…
4
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during the period of isolationism, why were the chinese successful in i…
D. Chinese goods were in high demand.
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now use the number line to find the missing factor. 0.4 times what numb…
\( 5 \)
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limiting contact with foreigners was the main goal of chinese ○ corrupt…
B. isolationism (assuming the options are labeled as A. corruption, B. isolationism, C. kowtowing, D. missionaries; if labels differ, adjust to the correct identifier with "isolat…
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solve the following exponential equation. express the solution set in t…
\(x=\frac{\ln(434)}{\ln(5)}-2\) (or if using common logarithms, \(x = \frac{\log(434)}{\log(5)}-2\))
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use common logarithms or natural logarithms and a calculator to evaluat…
3.3634
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which equation of a line has a slope of -3 and passes through point (2,…
B. $y = - 3x+10$
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1924 immigration act before the 1924 immigration act, u.s. immigration …
until 1965
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1924 immigration act before the 1924 immigration act, u.s. immigration …
It strained relations by barring Japanese immigration.
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español ann is saving to buy a new gaming system. the function graphed …
(a) \( s(7)=\boxed{190} \) (b) The answer to part (a) means that after Ann has been saving for \(\boxed{7}\) weeks, she has \(\boxed{190}\) left to save.
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1924 immigration act before the 1924 immigration act, u.s. immigration …
to exclude individuals from Asian countries from immigrating
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1924 immigration act the history of u.s. immigration reflects recurring…
the Johnson - Reed Act
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the slope of the line through the points (4, -2) and (8, 5) is \\(\frac…
True
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find the slope of the line graphed below.
\(\frac{3}{2}\)
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evaluate the expression without using a calculator.\\(\\log_{2}(\\log_{…
\( 0 \)
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begin by graphing f(x)= ln x. use transformations of this graph to grap…
- **Vertical Asymptote**: \( x = 0 \) - **Domain**: \( (0, \infty) \) - **Range**: \( (-\infty, \infty) \) - **Graph**: A horizontally compressed (by factor \( \frac{1}{4} \)) ver…
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any line perpendicular to the line $y = 2x + 4$ has a slope of -2. true…
False
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pumpkin paths this bear robot is also launching pumpkins. the function …
### Part b Explanation: To determine how changing the graph affects the equation \( b(x) = -0.15(x - 4)^2 + 6.5 \), we analyze the vertex form of a quadratic function, \( y = a(x …
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evaluate the expression without using a calculator. \\(\\log_{8}1\\) \\…
\( 0 \)
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rewrite the following expressions as a formula that can be typed into e…
D. \( = 2*4^(6 - 1) \)
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rewrite the following expressions as a formula that can be typed into e…
A. \(=(3 - 4)/6 + 8\)
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use the order of operations to find the value of the following expressi…
13
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23. allie has studied and prepared all week for the calculus exam her i…
A. take time to relax, as she is already well prepared
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use the order of operations to find the value of the following expressi…
\(9\)
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graph the given function by making a table of coordinates.\\( f(x) = 2^…
When \( x=-2 \), \( y = \frac{1}{4} \); when \( x = -1 \), \( y=\frac{1}{2} \); when \( x = 0 \), \( y = 1 \); when \( x = 1 \), \( y = 2 \); when \( x = 2 \), \( y = 4 \). So the…
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the domain of the piecewise function is (- ∞, ∞) a. graph the function.…
The range is \(\{-8, 0\}\) (using set notation as the range has at least one isolated value, so option B applies and the range is the set of these two values).
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document limited the powers of the king of england, and granted a trial…
A. Magna Carta
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question find the zeros of the function ( f(x) = 2x^2 + 10x + 6 ). roun…
The zeros of the function are \( x\approx - 0.697 \) and \( x\approx - 4.303 \). (If we need to fill one at a time, we can present them separately. For example, if filling the fir…
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read the excerpt from hemingway’s a farewell to arms. “it could not be …
A. are still loaded with meaning
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which statement is true regarding the functions on the graph? \\(\\bigc…
# Explanation: ## Step1: Find equation of \( f(x) \) The blue line \( f(x) \) has y - intercept \( b = 2 \) and slope \( m = 2 \) (from \( (0,2) \) to \( (1,4) \), \( m=\frac{4 - …
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find (a) the leading term of the polynomial, (b) the limit as x approac…
(A) \(-2x^{8}\) (B) \(-\infty\) (C) \(-\infty\)
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find each function value and limit. use $-\\infty$ or $\\infty$ where a…
(A) \( f(-6)\approx - 0.111 \) (B) \( f(-12)\approx - 0.049 \) (C) A. \( \lim_{x ightarrow-\infty}\frac{3x^{3}-6x^{2}}{6x^{4}+3}=0 \)
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a. who does what? read each statement and decide if it is about the hou…
1. A. Fund addiction treatment programs. B. Require training for providers registered to prescribe opioids. 2. Combina elementos comunes de las dos propuestas originales. 3. Permi…
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the graph of f is translated a whole number of units horizontally and v…
\( k(x)=\sqrt{x + 1}+3 \)
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the formula ( a = pe^{rt} ) describes the accumulated value, ( a ), of …
\( t \approx 5.3 \) years
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given the following exponential function, identify whether the change r…
This is an exponential growth function with a percentage rate of increase of \( 24\% \).
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given the function defined in the table below, find the average rate of…
-2
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given the function defined in the table below, find the average rate of…
6
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read the excerpt from \mother tongue.\ those tests were constructed aro…
C. Tan gives an example of her experience with achievement tests to support the idea that they are not always accurate measures of language ability
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given the function defined in the table below, find the average rate of…
\( -\frac{5}{3} \)
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convert \\(\\frac{4\\pi}{5}\\) to degrees. ?°
\(144\)
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this appears to be a polynomial of degree 1. yes no this function appea…
## First Graph: - "This appears to be a polynomial of degree 1": No - "This function appears to have a positive leading coefficient": No (assuming it's a non - polynomial, but if …
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sketches of graphs of polynomial functions are shown. decide whether ea…
### First Graph (Left): - Polynomial of degree 1: Yes - Positive leading coefficient: No - \( g(x) \): Yes ### Second Graph (Middle): - Polynomial of degree 1: No - Positive leadi…
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question: consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\l…
Plot the points \((0,3)\), \((1,0)\), \((2,-1)\), \((3,0)\), \((5,8)\) on a coordinate plane. Connect these points with a smooth curve (a parabola opening upward) to graph the fun…
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$$\\frac{2}{4} - \\frac{1}{4} = \\frac{1}{4}$$ $$\\frac{1}{2} - \\frac{…
4
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draw a picture and solve on paper. check your work on zearn. 5÷4= \\fra…
\(\frac{5}{4}\); \(1\frac{1}{4}\) (The first two boxes for the fraction are 5 and 4, the next box is 1, and the last two boxes for the mixed number are 1 and 4)
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graph f(x) = 2^x and g(x) = \\log_{2} x in the same rectangular coordin…
(Assuming the correct graph is the one with the exponential curve passing through (0,1) and logarithmic through (1,0), symmetric about y=x. If the options are labeled as top, seco…
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the domain of the piecewise function is $(-infty, infty)$. $f(x) = \\be…
C (assuming the graph in option C has a closed dot at \( (5,6) \) and an open dot at \( (5,-6) \) with horizontal lines \( y = 6 \) for \( x \leq 5 \) and \( y=-6 \) for \( x>5 \))
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governments working together help people in all of the following ways e…
A. It gives each level of government limits on its power.
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which amendment limits the authority of the federal government? tenth a…
Tenth Amendment
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why was the bill of rights created? to promote equality and social just…
B. To protect individual rights and limit the power of the government.
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graph the given function by making a table of coordinates. f(x)=2^x com…
For \( x = -2 \), \( y=\frac{1}{4} \); for \( x = -1 \), \( y=\frac{1}{2} \); for \( x = 0 \), \( y = 1 \); for \( x = 1 \), \( y = 2 \); for \( x = 2 \), \( y = 4 \). So the comp…
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y = -x y = -3x - 16 nswer attempt 1 out of 2 submit answer
(-8, 8)
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4. under the leadership of chief justice john marshall, the supreme cou…
B. strengthened the role of the judiciary, making it equal to the other two branches
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y = 9x y = 8x + 4 answer attempt 1 out of 2 (□,□) submit answer
\((4,36)\)
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suppose you start saving today for a $70,000 down payment that you plan…
$\$39987.43$ (The answer may vary slightly depending on the precision of the calculator used for the exponentiation. If we use a calculator to compute $(1+\frac{0.08}{365})^{365\t…
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what is the equation for this function? y = -cos x y = cos x y = sin x …
D. \( y = -\sin x \)
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if y = -cos x, what x-value corresponds to a y-value of 1 between 0 and…
1
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if $y = \\cos x$, how many periods will there be between $-4\\pi$ and $…
\( 3 \)
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an item is regularly priced at $20. it is now priced at a discount of 3…
The new price is $14.
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d) 9.6 ÷ 3
\(3.2\)
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find the average rate of change of the function c(x) = x² - 3x + 6 over…
4
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5/15 what is the average rate of change of the function q(x) = 2x² - 4x…
12
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4/15 determine the average rate of change of the function h(x) = 3x² + …
2
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evaluate. \\frac{(8 - 2^2 + 1)^2}{1 \\div 5 \\cdot \\frac{1}{2}} option…
250
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no additional details were added for this assignment. evaluate. $0.3^3 …
$32.6$
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evaluate. $160 \\div (1 + 3^2) + 5^3 - 10^2$ \\bigcirc 11 \\bigcirc 35 …
41
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evaluate. $80 \\div 2^3 + 2 \\cdot 6^2 - 3$ \\(\\circ\\) 28 \\(\\circ\\…
79
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the function f(x) is shown in the graph. if g(x) = f(x - 2), determine …
The x - intercept of \(g(x)\) is \(x=4\)
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which statement primarily appeals to ethos, or character, to support th…
The second statement: "Although it may come as a surprise, I would prefer a year - round school schedule to our current system. As an academically competitive high school junior, …
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given the function f(x) = x + 1, describe the type of transformation re…
Vertical translation 3 units upward
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given the function f(x) = 2x + 1, describe the transformation from f(x)…
The function \(f(x)\) is compressed vertically.