Question 291
In the triangle with sides \( a = 7 \), \( b = 24 \), and \( c = 25 \), what is the measure of angle \( C \) opposite side \( c \)?TrigonometryTrigonometryeasy
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Question 292
Find the derivative of \( f(x) = x^3 - 5x^2 + 7x - 2 \).Differentiation (calculus)Differentiationmedium
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Question 293
Given the vector \(\vec{a} = 3\hat{i} - 2\hat{j} + \hat{k}\) and \(\vec{b} = -\hat{i} + 4\hat{j} + 2\hat{k}\), find \(\vec{a} \cdot \vec{b}\).VectorsVectorshard
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Question 294
Which of the following inequalities represents the solution set for y when y - 3 > 5?Inequalities and graphsInequalitieseasy
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Question 295
If log base 2 of x equals 5, what is the value of x?Logarithms and exponentialsLogarithms and Exponentialsmedium
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Question 296
A curve is given by y = x^3 - 3x^2 + 4. What is the stationary point(s) of the curve?Differentiation (calculus)Differentiationhard
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Question 297
If \(A = \{1, 3, 5\}\) and \(B = \{3, 4, 5\}\), what is \(A \cup B\)?Sets and logicSets and logiceasy
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Question 298
Evaluate the integral \(\int x e^{x} dx\).Integration (calculus)Integration (calculus)hard
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Question 299
If the quadratic equation \(3x^2 - 5x + 2 = 0\) has roots \(\alpha\) and \(\beta\), what is the value of \(\alpha + \beta\)?Quadratic equations and functionsQuadratic equations and functionseasy
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Question 300
Given the vectors \(\mathbf{a} = 3\mathbf{i} - 2\mathbf{j} + \mathbf{k}\) and \(\mathbf{b} = -\mathbf{i} + 4\mathbf{j} + 2\mathbf{k}\), what is the scalar product \(\mathbf{a} \cdot \mathbf{b}\)?VectorsVectorsmedium
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