QUESTION 01 Calculate: The total number of positive divisors of 2019 is: The whole sum of those divisors is:...

QUESTION 02 For the three points O(0, 0), A(3, 0), and B(3, 4) on the xy-plane, the equation of...

QUESTION 03 For parabola \(y = x^2\) and two points \((-1,1)\) and \((3,9)\) on it, its tangent line parallel...

QUESTION 04 When the line \(y = m(x - 5) + 3\) intersects the circle \(x^2 + y^2 =...

QUESTION 05 When \(| x | \leq \dfrac {\pi}{2}\) the maximum of \(\sin x + \cos x\) is \(A\)...

QUESTION 06 By \(\log_{10} 2 \approx 0.3010\) and \(\log_{10} 3 \approx 0.4771\), the number of digits of \(6^{100}\) is...

QUESTION 07 Let \(I (m, n)\) be a function of a pair \((m, n)\) of natural numbers that is...

QUESTION 08 Let \(f(x) = e^x\), \(g(x) = 1 + x\), and \(h(x) = 1 + x + 2x^2\)....