微積分
極限、導數、最優化與函數性質。
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graph the system of equations and determine the points of intersection.…
$(-2, 9)$, $(5, 2)$
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question 3 of 10 which factor is related to seat belt use in teens? a. …
D. Peer use of a seat belt
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use the graph of the function to complete the table.
| input | output | |-------|--------| | 3 | 8 | | 5 | 5 | | 9 | 9 |
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use the graph of the function to complete the table. input output 3 6 -…
| input | output | |-------|--------| | 3 | -3 | | 6 | -7 | | 9 | 0 |
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part 1 of 2 use the graph of $y = ca^x$ to determine $c$ and $a$. $c = …
$C=1$, $a=2$
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a laptop computer is purchased for $4300. each year, its value is 80% o…
7 years
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consider the following equation. \\log_{3} 4^{x}+3 = 4 find the value o…
$x \approx 0.170$
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write the slope-intercept equation of the function f whose graph satisf…
\( f(x)=-2 \)
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use the properties of logarithms to evaluate each of the following expr…
(a) $1$ (b) $-4$
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6. if the function $f(x)=x$ is the parent function, describe the transf…
C. vertical stretch by a factor of 3, vertical translation up 1
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1. the parent linear function is $f(x)=x$ the transformation of the par…
C. \( g(x)=\frac{2}{3}x \)
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use the given conditions to write an equation for the line in point - s…
\( y + 3=-2(x - 5) \)
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use the given conditions to write an equation for the line in point - s…
\( y = -3x - 18 \)
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use the given conditions to write an equation for the line in point - s…
\( y + 6=-3(x + 4) \)
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what do mountains breathe through? do each exercise below. find your an…
1. $5\frac{1}{4}$ 2. $9\frac{4}{15}$ 3. $3\frac{13}{18}$ 4. $17\frac{9}{16}$ 5. $7\frac{1}{2}$ 6. $43\frac{3}{10}$ 7. $13\frac{11}{24}$ 8. $9\frac{8}{15}$ 9. $50\frac{4}{7}$ 10. $…
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there is no defence or security for any of us except in the highest int…
D. Limitations to advancement should be seen as inspiration to continue pushing forward.
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question 17 of 20 why did whites in the south feel as if they had won t…
D. The Democrats were able to control the southern states.
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graph the equation shown below by transforming the given graph of the p…
To graph \( y = -x^2 - 4 \): 1. **Reflect** the parent function \( y = x^2 \) (upward - opening parabola) over the \( x \)-axis (now opens downward). 2. **Shift** the reflected gr…
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which of these classifies governments to the extent to which power is o…
A. constitutional, authoritarian, and totalitarian
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graph the equation shown below by transforming the given graph of the p…
To graph \( y = 2x^2 \) from the parent function \( y = x^2 \): 1. **Vertex**: Remains at \((0,0)\) (since there is no horizontal/vertical shift). 2. **Vertical Stretch**: The gra…
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use the given graph of f to state the value of each quantity, if it exi…
\(3\) ### Part (b)
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question 5 of 10 what was the idea behind the black codes that limited …
D. Blacks under whites was the natural order.
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find each of the following functions and state their domains. (enter th…
\( f + g = \boldsymbol{x^3 + 12x^2 - 1} \) domain: \( \boldsymbol{(-\infty, \infty)} \) ### Part (b): \( f - g \)
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complete the statement using <, >, or = 3π √28
\(3\pi > \sqrt{28}\)
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question 8 of 10 what does the fifteenth amendment to the constitution …
D. That states cannot limit the voting rights of individuals on the basis of race.
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question 2 of 10 what happened under president johnsons plan for recons…
C. African Americans' rights were limited by black codes.
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question 19 of 20 why did inflation occur in both the north and the sou…
C. The limited supply of goods caused prices to rise.
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describe the y-intercept and end behavior of the following graph: (-2, …
(0, -5). The graph approaches y = -6 to the right.
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( x = 4 \), \( y = 3 \) (the intersection point of the two lines is \( (4,3) \))
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a boats value over time, x, is given as the function f(x) = 100(b)^x. w…
The provided graph is the correct one that represents the boat's value increasing at 25% per year.
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations (the point of intersection of the two lines) is \( (6,4) \)
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question 5 of 10 a problem for the confederacy in starting a draft of s…
D. It went against a belief in limited government power.
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solve the system of equations graphed on the coordinate axes below. $y …
The solution to the system is \( x = -2 \), \( y = 4 \) or the ordered pair \( (-2, 4) \)
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question 7 of 10 what was an argument of northern whigs? a. slavery sho…
D. Economic development would get rid of the need for slavery.
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graph f. start by plotting a few points and then sketch the graph of f.…
To graph \( f(x)=x + 5 \): 1. Calculate function values for chosen \( x \)-values: - For \( x=-3 \), \( f(-3)=-3 + 5 = 2 \) (point: \( (-3, 2) \)) - For \( x = 0 \), \( f(0)=0 + 5…
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graph the function. $f(x)=\\frac{1}{4}x + 6$ use the graphing tool on t…
The graph of \( f(x)=\frac{1}{4}x + 6 \) is a straight line with y - intercept at \( (0,6) \) and a slope of \( \frac{1}{4} \). When using the graphing tool, input the function \(…
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derivative of integrally defined functions this is the only question in…
\(\frac{\sin(5\sqrt{x})}{2\sqrt{x}}\)
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let f be the function defined by $f(x) = \\int_{2}^{3x^5} \\frac{1}{(t^…
\( \boldsymbol{\frac{15x^{4}}{(9x^{10}+6x^{5})^{6}}} \) (or the factored form \( \boldsymbol{\frac{5}{243x^{26}(3x^{5}+2)^{6}}} \))
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let f be a continuous function such that \\(\\int_{8}^{3} f(x) dx = -2\…
\(12\)
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let $f$ be a continuous function such that $\\int_{7}^{9} f(x) \\, dx =…
\(-5\)
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compute the value of the following sum. 6.5 + (-3.5) + (-4.4) answer ho…
\(-1.4\)
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the system of equations $y = -\frac{1}{5}x - 6$ and $y = -2x + 3$ is sh…
The solution to the system is \( (5,-7) \) (If we follow the given equations. If there is a typo in the first equation, the answer may vary).
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the system of equations $y = -\frac{3}{4}x - 1$ and $y = 2x - 4$ is sho…
The solution (intersection point) is approximately \( \boldsymbol{(1.1, - 1.8)} \) (or exactly \( \boldsymbol{(\frac{12}{11},-\frac{20}{11})} \))
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and the y-intercept of each equation. then g 2. y = 3x - 4 slope: y-int:
Slope: \(3\) y - int: \(-4\)
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which system of equations has a solution of approximately (-0.4, 1.1)? …
A. \(x + 3y = 3\) and \(2x - y = -2\)
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evaluate: $18 + 4(2 + 3)^2$
118
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solving a logarithmic equation solve: \\(\\log_{x} 343 = 3\\) \\(x = \\…
$7$
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in order to write the equation for a piecewise linear function shown on…
the equation of each linear segment and the interval for which it is applied
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graph the piecewise function $f(x)=\\begin{cases}x + 5\\text{ if }x\\le…
Yes, at $(-2, -1)$.
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evaluate: \\(\\log_{12} 12\\)\ \\(-1\\) \\(12\\) \\(1\\)\ \\(0\\)
1
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graph the function. ( h(x) = -3x^2 + 4 ) plot five points on the graph …
Plot the following points and connect them to form the parabola: $(0, 4)$, $(-1, 1)$, $(-2, -8)$, $(1, 1)$, $(2, -8)$
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the average cost per hour in dollars of producing x riding lawn mowers …
(a) 9 (b) $\$198.64$
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g(x)=2x² - 2 plot five points on the graph of the function: one point w…
The five points are: $(0, -2)$, $(-1, 0)$, $(-2, 6)$, $(1, 0)$, $(2, 6)$ (plot these points on the coordinate grid and use the graph-a-function tool to connect them into a parabol…
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(a) use a graphing utility to graph ( f(x) = 0.4x^4 + 0.2x^3 - 0.9x^2 +…
[-1.26,0] and [0.89,2]
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a table of values of a linear function is shown below. find the output …
$3n + 1$
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solving a logarithmic equation solve: \\(\\log_{4}(7t + 2) = 2\\) \\(t …
$t=2$
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8. the watson family is planting a garden. the cost of getting sod inst…
(for part a): \( C(S(12))=\boxed{206.16} \) ### Part b
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6. solve by graphing \\(\\begin{cases} y = -4x + 7 \\\\ y = x - 3 \\end…
The solution is $(2, -1)$
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6. the complete graphs of ( y = f(x) ) and ( y = g(x) ) are shown. a. f…
### Part (a): Find \( g(f(1)) \) #### Step 1: Find \( f(1) \) To find \( f(1) \), we look at the graph of \( y = f(x) \). The graph of \( f(x) \) is the dashed line. When \( x = 1…
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7. solve by graphing \\(\\begin{cases} y = \\frac{3}{7}x + 4 \\\\ y = \…
There is no solution (the lines are parallel and never intersect).
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4. find the inverse of $f(x) = \\frac{1}{3}x - 2$ rewrite as y = switch…
$f^{-1}(x) = 3x + 6$
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(int_{0}^{8} \frac{dx}{sqrt{1 + x}})
\( 4 \)
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5. find the inverse of $f(x) = -\frac{2x + 1}{3}$ rewrite as y = switch…
$f^{-1}(x) = \frac{-3x -1}{2}$
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(int_{0}^{8} \frac{dx}{sqrt{1 + x}})
\(4\)
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the average cost per hour in dollars of producing x riding lawn mowers …
(a) 9 (b) $\$198.64$
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heres an exponential function. \\( y = -1.6^x \\) (a) choose the graph …
### Part (a) To determine the graph of \( y = -1.6^x \), we analyze the parent function \( y = 1.6^x \) (which is an exponential growth function, increasing as \( x \) increases a…
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heres an exponential function. ( y = -1.6^x ) (a) choose the graph that…
s: (a) Graph 2 (the graph provided in the problem with the curve that is a reflection of the increasing exponential curve over the x - axis, decreasing and below the x - axis) (b)…
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the functions s and t are defined as follows. s(x) = -5x - 5, t(x) = 4x…
$-50$
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the functions u and w are defined as follows. u(x) = -2x + 1 w(x) = -x²…
$5$
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the functions r and s are defined as follows.\\( r(x) = 2x - 2 \\)\\( s…
$-71$
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match the statements with the clauses and powers. 9) ______ the nationa…
## Matching Section: 9) D. concurrent 10) F. Spending Clause 11) B. reserved 12) C. Necessary and Proper Clause 13) E. preemption 14) A. Supremacy Clause ## Underline Section: 15)…
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\she did all that she was told, she was always truthful, she kept her c…
It indicates that the aunt's portrayal of right and wrong is inauthentic and unconvincing.
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1) ____ ____ uses monetary policy to control the flow of money in the e…
1. D. The Federal Reserve 2. B. initiative 3. A. Gibbons v. Ogden 4. D. increase the discount rate 5. C. stimulate the national economy with government spending 6. A. Israel 7. C.…
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sistema de castas the term “peninsulare” directly refers to the ___ pen…
B. Iberian ### Second Question:
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what is a benefit a student gains by using an lms? multiple choice they…
B. Student performance is more easily tracked through the gradebook, giving a student a constantly updated view of what their grade will be
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divide. 19.2 ÷ 4
\(4.8\)
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try again one of the digits in your answer is wro divide. 2.82 ÷ 3
\(0.94\)
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consider the function graphed below. the domain of the function is the …
The domain of the function is $(-\infty, 10)$ The range of the function is $(-\infty, 3)$ The function is increasing on the interval(s) $(4, 6)$ The function is decreasing on the …
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good (tenth amendment). during the 1950s and the 1960s, the major educa…
7.1) B. to maintain and improve quality of life 7.2) D. children, because more children live in poverty than any other group 7.3) C. Replace it with a system that provides governm…
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2.022) ______ why did the federal government begin involving itself in …
2.022: D. to break up monopolies and regulate corporations that were fixing prices 2.023: A. have the government stimulate the economy with spending, even if it incurs deficit spe…
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which is the only solution to the equation \\(\\log_{3}(x^{2}+6x)=\\log…
$x = 2$ (corresponding to the option "x = 2")
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1231c2_25-26 - c - rusd math 3 semester b_90-38578-9344-1231c2 solving …
$x = 7$
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solving logarithmic equations using the definition of a logar solve the…
$x = 44$
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25-26 precalculus ic sem b trigonometric double angle identities solvin…
$\frac{\pi}{2}$, $\frac{3\pi}{2}$
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6.5) select two facts about gross domestic product (gdp). □ it is a mea…
6.5) - It is a measure of the overall production within the country. - It is a measure that correlates with the overall standard of living. 6.6) D. selling federal securities, suc…
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6.2 quiz started: jan 25 at 8:36pm quiz instructions you have 15 minute…
-26
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started: jan 25 at 8:36pm quiz instructions you have 15 minutes to comp…
$-3$
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of 5 points eoc q5.15 3 tries left how do the nation’s civil rights law…
D. by prohibiting de jure segregation
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graph the following features: - slope = $-\frac{3}{2}$ - y-intercept = 5
To graph the line with slope $-\frac{3}{2}$ and y - intercept 5: 1. Plot the y - intercept at $(0,5)$. 2. Use the slope $-\frac{3}{2}$ (down 3, right 2 or up 3, left 2 from the y …
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5. graph the following function by answer the questions and graphing on…
There is no point of discontinuity because the numerator \(x + 2\) and the factored denominator \((x + 7)(x - 1)\) have no common factors. ### Part (b)
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find the quotient. 3 ÷ 5 = \\frac{\\square}{?}
$\frac{3}{5}$ or $0.6$
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5. graph the following function by answer the questions and graphing on…
No point of discontinuity (hole) exists because the numerator \(x + 2\) and denominator \((x - 7)(x + 1)\) have no common factors. Discontinuities at \(x=-1\) and \(x = 7\) are ve…
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find the absolute maximum of f on -8,9. select the correct choice below…
A. The absolute maximum of $f$ is $f(-5)=6$
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1. (15 points) a. estimate the area under the graph of $f(x) = x^2 + x$…
The estimated area under the graph is \( 8 \).
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the graph of two functions, f and g, is illustrated below. use the grap…
$-14$
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chapter 1 quiz (1.1,1.2, 1.4, 1.5, 1.7) 14 points possible answered: 13…
\( f^{-1}(x)=\frac{x + 3}{3 - 2x} \)
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chapter 1 quiz (1.1,1.2, 1.4, 1.5, 1.7) 14 points possible answered: 11…
The graph of \( y = 4\sqrt{x + 2}-1 \) is a transformation of the parent square - root function \( y=\sqrt{x} \). It is shifted 2 units left, stretched vertically by a factor of 4…
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chapter 1 quiz (1.1,1.2, 1.4, 1.5, 1.7) 14 points possible answered: 10…
To graph \(y = 3(x + 1)^{3}-3\): 1. Start with the parent cubic function \(y=x^{3}\), shift its graph 1 unit to the left, then stretch it vertically by a factor of 3, and then shi…
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chapter 1 quiz (1.1,1.2, 1.4, 1.5, 1.7) 14 points possible answered: 9/…
\( f(g(4)) = 0 \) ### For \( g(f(2)) \):
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exercises 1.2 the definite integral score: 150/170 answered: 15/17 ques…
$63$