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  1. AP Calculus
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What is the formula for distance given constant velocity and time?

d=v⋅td = v \cdot td=v⋅t

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What is the formula for distance given constant velocity and time?

d=v⋅td = v \cdot td=v⋅t

What is the formula for the area of a rectangle?

A=b⋅hA = b \cdot hA=b⋅h

What is the formula for the area of a triangle?

A=b⋅h2A = \frac{b \cdot h}{2}A=2b⋅h​

What is the formula for the area of a trapezoid?

A=a+b2⋅hA = \frac{a+b}{2} \cdot hA=2a+b​⋅h

What does the area under a velocity vs. time graph represent?

The area represents the displacement (total distance traveled) of the object.

On a distance vs. time graph, what does a negative area indicate?

A negative area indicates movement in the opposite direction or a decrease in distance from the starting point.

Define accumulation of change.

The sum, over time, of how much something has changed.

What is a Riemann Sum?

A method of approximating the area under a curve by dividing it into rectangles or other simple shapes.

Define definite integral.

An integral with upper and lower limits, representing the area under a curve between those limits.

What are integrals also called?

Anti-derivatives.

What is the meaning of 'signed area'?

Area below the x-axis is considered negative, representing a decrease or movement in the opposite direction.