Mathematics - 2013 E.C (2020/2021) Ethiopian University Entrance Exam (EUEE)

If the radius r of a sphere is increasing at the rate of 2 cm/min, then the rate of change of the volume when r = 1 cm is

Suppose $\int_{1}^{3} f(x) \, dx = 6$ and $\int_{1}^{2} f(x) \, dx = 10$, what is the value of $\int_{2}^{3} f(x) \, dx$ ?

Which of the following statements has a truth value T?

Which of the following is equal to $\int(\cos x-2x)dx$ where c is a constant?

What is the area of the region bounded by y = 0 and the graph of $f(x)=4-x^2$ on the interval $[-1, 1]$?

The inverse of the function $y = 3x - 5$ is equal to

Which of the following is the universal set of the expression $\frac{1}{x^2} ÷ \frac{x + 1}{x^2+x}$?

The graph of rational function is give as below

Which of the following is NOT true about the graph?

The equation of a line is given by $3x - 2y + 6 = 0$. Then which of the following is true about the line?

Which one of the following is the standard form of the equation of the parabola with vertex $(4, 6)$ and focus $(-8, 6)$?