Question 51
Solve for x: \( 2x^2 - 3x - 5 = 0 \).Quadratic equations and functionsQuadratic equations and functionsmedium
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Question 52
Find the derivative of \( f(x) = 3x^4 - 5x + 2 \).Differentiation (calculus)Differentiation (calculus)medium
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Question 53
Given vectors \( \mathbf{a} = 3\mathbf{i} + 2\mathbf{j} \) and \( \mathbf{b} = \mathbf{i} - 4\mathbf{j} \), find \( \mathbf{a} \cdot \mathbf{b} \).VectorsVectorsmedium
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Question 54
If set A = {1, 2, 3, 4} and set B = {3, 4, 5, 6}, what is A ∩ B?Sets and logicSets and logiceasy
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Question 55
Solve for x: 3x - 7 = 2x + 5.Algebraic expressions and equationsAlgebraic equationseasy
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Question 56
If f(x) = ln(x), what is the derivative f'(x)?Differentiation (calculus)Differentiationmedium
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Question 57
A fair die is rolled twice. What is the probability that the sum of the two rolls is 7?Probability and statisticsProbabilitymedium
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Question 58
If \( f(x) = e^{2x} \), what is \( \frac{d}{dx} f(x) \)?Differentiation (calculus)Differentiation (calculus)medium
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Question 59
Find the sum of the first 10 terms of the arithmetic sequence where \( a_1 = 3 \) and common difference \( d = 5 \).Sequences and seriesSequences and serieseasy
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Question 60
Given matrix \( A = \begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix} \), find \( \det(A) \).MatricesMatriceseasy
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