Question 11
Solve for x in the equation 2sin x = 1 where 0° ≤ x ≤ 360°.Trigonometric equations and identitiesTrigonometric equations and identitiesmedium
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Question 12
Determine the range of the function f(x) = 2x + 3 where x ∈ [1,4].Functions and graphsFunctions and graphsmedium
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Question 13
Differentiate y = 3x² + 5x - 7 with respect to x.Differentiation (calculus)Differentiationmedium
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Question 14
Integrate ∫ (2x + 3) dx.Integration (calculus)Integrationmedium
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Question 15
Calculate the variance of the data set: 2, 4, 6, 8, 10.Statistics: measures of central tendency, dispersionStatisticshard
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Question 16
Find the probability of getting exactly 2 heads in 3 tosses of a fair coin.Probability and combinatoricsProbability and combinatoricsmedium
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Question 17
If A = {2, 4, 6, 8} and B = {4, 8, 10, 12}, what is A ∩ B?Sets and logicSets and logiceasy
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Question 18
What is the union of sets A = {1, 2, 3} and B = {3, 4, 5}?Sets and logicSets and logiceasy
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Question 19
Using mathematical induction, prove that the sum of the first n natural numbers is given by S = n(n+1)/2. What is the base case for this proof?Mathematical inductionMathematical inductioneasy
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Question 20
If 3^x = 81, what is the value of x?IndicesIndiceseasy
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