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NSC Mathematics AI Practice

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Question 61

Find the integral of f(x) = 4x^3.
CalculusCalculus - Integrationmedium

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Question 62

If sin θ = 3/5 and θ is in the first quadrant, find cos θ.
TrigonometryTrigonometry - Pythagorean identitieseasy

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Question 63

The function f(x) = 2x^3 - 9x^2 + 12x - 5 has how many turning points?
CalculusCalculus - Turning points and stationary pointshard

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Question 64

What is the solution to the equation 2x + 5 = 13?
AlgebraAlgebra - Linear Equationseasy

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Question 65

If the derivative of y = x^3 is dy/dx, what is dy/dx?
CalculusDifferentiation - Basic ruleseasy

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Question 66

In a right triangle, if one angle is 30°, what is the length of the side opposite this angle if the hypotenuse is 10 units?
TrigonometryTrigonometry - Right triangleseasy

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Question 67

The sum of the interior angles of a pentagon is:
GeometryGeometry - Polygonseasy

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Question 68

What is the probability of rolling an even number on a fair six-sided die?
ProbabilityProbability - Basic Probabilityeasy

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Question 69

If the function f(x) = 2x^2 - 4x + 1, what are the coordinates of its vertex?
AlgebraAlgebra - Quadratic Functionsmedium

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Question 70

Evaluate the integral ∫(3x^2 - 2) dx.
CalculusIntegration - Basic Integralsmedium

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