Question 171
Find the derivative of \( f(x) = x^3 - 5x^2 + 6x \).Differentiation (calculus)Differentiationmedium
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Question 172
A bag contains 5 red balls and 3 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?Probability and statisticsProbability and Statisticseasy
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Question 173
Solve for $x$ if $2x^2 - 3x - 2 = 0$.Quadratic equations and functionsQuadratic equations and functionsmedium
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Question 174
Given the matrix $M = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$, what is $\det(M)$?MatricesMatriceseasy
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Question 175
Evaluate $\int_0^1 (4x^3 - 2x + 1) dx$.Integration (calculus)Integration (calculus)hard
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Question 176
Simplify the expression: (3x^2 - 2x + 4) - (x^2 + 5x - 7)Algebraic expressions and equationsAlgebraic expressionsmedium
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Question 177
Given the vectors \( \vec{A} = 3\hat{i} + 4\hat{j} \) and \( \vec{B} = 2\hat{i} - \hat{j} \), find the dot product \( \vec{A} \cdot \vec{B} \).VectorsVectorsmedium
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Question 178
Evaluate the integral \( \int (2x^3 - 5x + 4) \, dx \).Integration (calculus)Integrationhard
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Question 179
Given the function f(x) = 2^x, find the value of log_2 (8).Logarithms and exponentialsLogarithms and exponentialseasy
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Question 180
Find the derivative of f(x) = x^3 - 5x^2 + 6x at x = 2.Differentiation (calculus)Differentiationmedium
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