csat-suneung 2009 Q28

csat-suneung · South-Korea · csat__math-science 3 marks Differentiating Transcendental Functions Full function study with transcendental functions

(Calculus) For the function $f(x) = 4\ln x + \ln(10 - x)$, which of the following statements in are correct? [3 points]
ㄱ. The maximum value of function $f(x)$ is $13\ln 2$. ㄴ. The equation $f(x) = 0$ has two distinct real roots. ㄷ. The graph of function $y = e^{f(x)}$ is concave downward on the interval $(4, 8)$.
(1) ㄱ
(2) ㄷ
(3) ㄱ, ㄴ
(4) ㄴ, ㄷ
(5) ㄱ, ㄴ, ㄷ

(Calculus) For the function $f(x) = 4\ln x + \ln(10 - x)$, which of the following statements in <Remarks> are correct? [3 points]

<Remarks>\\
ㄱ. The maximum value of function $f(x)$ is $13\ln 2$.\\
ㄴ. The equation $f(x) = 0$ has two distinct real roots.\\
ㄷ. The graph of function $y = e^{f(x)}$ is concave downward on the interval $(4, 8)$.\\
(1) ㄱ\\
(2) ㄷ\\
(3) ㄱ, ㄴ\\
(4) ㄴ, ㄷ\\
(5) ㄱ, ㄴ, ㄷ

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q26 Q26b Q27 Q27b Q28 Q28b Q29 Q29b Q30