Question 81
In how many ways can you arrange the letters of the word "MATH"?Probability and combinatoricsCombinatoricshard
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Question 82
If \(A = \{1, 2, 3, 4\}\) and \(B = \{3, 4, 5, 6\}\), what is \(A \cap B\)?Sets and logicSets and Logiceasy
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Question 83
Using mathematical induction, prove that for all positive integers \(n\), \(1 + 2 + 3 + \cdots + n = \frac{n(n+1)}{2}\). What is the base case?Mathematical inductionMathematical Inductionmedium
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Question 84
Simplify \(\sqrt{50} + 2\sqrt{8} - \sqrt{18}\).SurdsIndices and Surdsmedium
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Question 85
Find the derivative of \(f(x) = 3x^3 - 5x^2 + 6x - 2\).Differentiation (calculus)Differentiationeasy
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