Question 191
Given vectors A = 2i + 3j and B = -i + 4j, what is the scalar product A · B?VectorsVectorsmedium
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Question 192
Solve for \( x \) in the quadratic equation \( 2x^2 - 5x + 2 = 0 \).Quadratic equations and functionsQuadratic equations and functionsmedium
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Question 193
Given the vector \( \mathbf{u} = 3\mathbf{i} - 2\mathbf{j} + \mathbf{k} \) and \( \mathbf{v} = -\mathbf{i} + 4\mathbf{j} + 2\mathbf{k} \), find \( \mathbf{u} \cdot \mathbf{v} \) (the dot product).VectorsVectorshard
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Question 194
If \( f(x) = x^3 - 3x^2 + 4 \), find \( \frac{dy}{dx} \) at \( x = 2 \).Differentiation (calculus)Differentiationmedium
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Question 195
If log_b 81 = 4, find b.Logarithms and exponentialsLogarithms and exponentialsmedium
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Question 196
Given vectors u = (3, -2) and v = (1, 4), find the scalar product u · v.VectorsVectorsmedium
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Question 197
If A = {2, 4, 6, 8} and B = {4, 8, 12, 16}, what is A ∩ B?Sets and logicSets and logiceasy
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Question 198
Solve for x: 3x + 2 = 14.Algebraic expressions and equationsAlgebraic expressions and equationseasy
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Question 199
What are the roots of the quadratic equation x² - 5x + 6 = 0?Quadratic equations and functionsQuadratic equations and functionsmedium
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Question 200
Given the sequence defined by a₁ = 3 and aₙ = aₙ₋₁ + 4 for n > 1, what is the 5th term?Sequences and seriesSequences and seriesmedium
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