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Questions and Answers
What is the equation of the line passing through the points $(2, 3)$ and $(4, 7)$?
What is the equation of the line passing through the points $(2, 3)$ and $(4, 7)$?
- $y = x - 2$
- $y = 2x + 1$
- $y = x + 2$
- $y = 2x - 1$ (correct)
What is the scalar product of vectors $\vec{a} = 2\hat{i} + 3\hat{j}$ and $\vec{b} = -\hat{i} + 4\hat{j}$?
What is the scalar product of vectors $\vec{a} = 2\hat{i} + 3\hat{j}$ and $\vec{b} = -\hat{i} + 4\hat{j}$?
- 5
- 10 (correct)
- 11
- 12
What is the derivative of $f(x) = \frac{1}{x^2}$?
What is the derivative of $f(x) = \frac{1}{x^2}$?
- $f'(x) = -\frac{2}{x^3}$ (correct)
- $f'(x) = \frac{1}{x^3}$
- $f'(x) = -\frac{1}{x^3}$
- $f'(x) = \frac{2}{x^3}$
What is the integral of $e^x \sin x$ with respect to $x$?
What is the integral of $e^x \sin x$ with respect to $x$?
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What is the probability of getting a sum of 7 when rolling two fair six-sided dice?
What is the probability of getting a sum of 7 when rolling two fair six-sided dice?
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