Unit 4 Calculator Section

Unit 4 Calculator Section

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

Created by

Wayground Content

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for finding the area between a curve and the x-axis?

Back

The area A between a curve f(x) and the x-axis from x=a to x=b is given by A = ∫[a,b] f(x) dx.

2.

FLASHCARD QUESTION

Front

How do you determine the area between two curves f(x) and g(x)?

Back

The area A between two curves f(x) and g(x) from x=a to x=b is given by A = ∫[a,b] (f(x) - g(x)) dx, where f(x) is the upper curve and g(x) is the lower curve.

3.

FLASHCARD QUESTION

Front

What is the significance of the definite integral in calculating area?

Back

The definite integral calculates the net area under a curve, accounting for areas above the x-axis as positive and below as negative.

4.

FLASHCARD QUESTION

Front

How do you find the points of intersection between two curves?

Back

To find the points of intersection between two curves f(x) and g(x), set f(x) = g(x) and solve for x.

5.

FLASHCARD QUESTION

Front

What is the displacement of a particle in motion?

Back

Displacement is the net change in position of a particle, calculated as the definite integral of the velocity function over a given interval.

6.

FLASHCARD QUESTION

Front

What is the difference between displacement and distance traveled?

Back

Displacement is the net change in position, while distance traveled is the total length of the path taken, regardless of direction.

7.

FLASHCARD QUESTION

Front

Back

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