Question 41
Find the magnitude of the vector \( \mathbf{v} = 3\mathbf{i} + 4\mathbf{j} \).Vectors in 2D and 3DVectorseasy
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Question 42
Find the midpoint of the line segment joining points (2,3) and (4,7).Coordinate geometryCoordinate geometryeasy
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Question 43
Find \( \sin 60^\circ \).TrigonometryTrigonometryeasy
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Question 44
Solve the trigonometric equation \( \sin x = 0 \) for \( 0 \leq x < 2\pi \).Trigonometric equations and identitiesTrigonometric equations and identitiesmedium
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Question 45
Find the derivative of \( f(x) = 3x^2 + 5x - 4 \).Differentiation (calculus)Differentiationeasy
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Question 46
Evaluate \( \int (2x + 3) dx \).Integration (calculus)Integrationmedium
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Question 47
Calculate the mean of the data set: 3, 7, 7, 10, 13.Statistics: measures of central tendencyStatisticseasy
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Question 48
Find the variance of the data set: 2, 4, 4, 4, 5, 5, 7, 9.Statistics: measures of dispersionStatisticsmedium
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Question 49
What is the probability of getting exactly 2 heads in 3 tosses of a fair coin?Probability and combinatoricsProbability and combinatoricsmedium
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Question 50
Find the sum of the first 4 terms of the geometric progression: 2, 6, 18, ...Progressions: arithmetic and geometricProgressionsmedium
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