## Questions and Answers

What is the equation of the line passing through the points $(2, 3)$ and $(4, 7)$?

$y = 2x - 1$

What is the scalar product of vectors $\vec{a} = 2\hat{i} + 3\hat{j}$ and $\vec{b} = -\hat{i} + 4\hat{j}$?

10

What is the derivative of $f(x) = \frac{1}{x^2}$?

$f'(x) = -\frac{2}{x^3}$

What is the integral of $e^x \sin x$ with respect to $x$?

Signup and view all the answers

What is the probability of getting a sum of 7 when rolling two fair six-sided dice?

Signup and view all the answers