Overview (Leaving Cert Applied Maths): Quizzes

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What do differential equations ask us to find as solutions?

Entire functions

What two things do differential equations involve?

Functions and their derivatives

What question does a differential equation ask?

What function has this rate of change?

What does the derivative of f(x)f(x) represent?

Slope of tangent line at a point

In dydx=2x1−y2\frac{dy}{dx} = 2x\sqrt{1 - y^2}, what does the right side equal?

The slope at point (x,y)(x, y)

What type of solution do differential equations produce?

Complete functions

What is the relationship between differentiation and integration?

They are inverse operations

What does the Fundamental Theorem of Calculus connect?

Differentiation and integration

Why is integration essential for solving differential equations?

It undoes differentiation

What type of real-world situations do differential equations help model?

Situations involving rates of change

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