Question 211
If \( A = \{1, 3, 5, 7\} \) and \( B = \{3, 5, 9\} \), what is \( A \cap B \)?Sets and logicSets and logiceasy
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Question 212
Solve the quadratic equation \( 2x^2 - 4x - 6 = 0 \). What are the roots?Quadratic equations and functionsQuadratic equations and functionsmedium
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Question 213
Given the inequality \( 3x - 7 < 2x + 5 \), which of the following represents the solution set?Inequalities and graphsInequalities and graphseasy
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Question 214
If \( \vec{a} = 3\hat{i} - 2\hat{j} + \hat{k} \) and \( \vec{b} = -\hat{i} + 4\hat{j} + 2\hat{k} \), what is the dot product \( \vec{a} \cdot \vec{b} \)?VectorsVectorsmedium
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Question 215
Find the roots of the quadratic equation \( 2x^2 - 7x + 3 = 0 \).Quadratic equations and functionsQuadratic equations and functionsmedium
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Question 216
Evaluate the integral \( \int_0^1 (4x^3 - 2x) \, dx \).Integration (calculus)Integration (calculus)hard
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Question 217
A die is rolled twice. What is the probability that the sum of the two rolls is 7?Probability and statisticsProbability and statisticshard
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Question 218
Find the sum of the first 10 terms of the arithmetic sequence where the first term a_1 = 5 and the common difference d = 3.Sequences and seriesSequences and Seriesmedium
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Question 219
Differentiate the function \( f(x) = 3x^3 - 5x^2 + 4x - 7 \). What is \( f'(x) \)?Differentiation (calculus)Differentiationeasy
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Question 220
Evaluate the sum of the infinite geometric series \( 5 + 3 + \frac{9}{5} + \ldots \) if it converges.Sequences and seriesSequences and serieshard
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