cmi-entrance 2022 QA5

cmi-entrance · India · ugmath_22may 4 marks Laws of Logarithms Verify Truth of Logarithmic Statements
Statements
(17) Let $a = \frac{1}{\ln 3}$. Then $3^a = e$. (18) $\sin(0.02) < 2\sin(0.01)$. (19) $\arctan(0.01) > 0.01$. (20) $4\int_0^1 \arctan(x)\, dx = \pi - \ln 4$. 
Statements

(17) Let $a = \frac{1}{\ln 3}$. Then $3^a = e$.\\
(18) $\sin(0.02) < 2\sin(0.01)$.\\
(19) $\arctan(0.01) > 0.01$.\\
(20) $4\int_0^1 \arctan(x)\, dx = \pi - \ln 4$.
Paper Questions
QA1 QA10 QA2 QA3 QA4 QA5 QA6 QA7 QA8 QA9 QB1 QB2 QB3 QB4 QB5 QB6