Exploring Volume with the Washer Method in Calculus

What does the washer method calculate?

• The volume of a solid of revolution

• The length of a curve

• The circumference of a circle

• The area of a rectangle

What is the formula used in the washer method?

• πr^2

• 2πr

• π(R + r)^2

• π(R^2 - r^2)

How do you determine the big radius (R) in the example around y=2?

• 2 - x^2

• x^2

• 2 + x^2

• √x

What is the new equation for y after shifting the axis down by 2 units?

• y = √x - 2

• y = √x + 2

• y = x^2 - 2

• y = x^2 + 2

What does shifting the axis help with in the washer method?

• Simplifying the equations

• Changing the shape of the solid

• Increasing the volume

• Decreasing the volume

What is the correct setup for revolving around the line x = -1?

• 1 + √(y - 1)

• 1 + (y - 1)/2

• 1 - √(y + 1)

• 1 - (y + 1)/2

How many students scored 100% on the AP Calculus exam last year?

• None

• One hundred

• Ten

• Two

What is a key procedural skill mentioned for the AP exam?

• Taking the derivative of a function

• Graphing parabolas

• Solving linear equations

• Calculating the area of a triangle

What is the recommended way to prepare for the AP exam?

• Focusing only on easy topics

• Skipping difficult questions

• Practicing with exams under timed conditions

• Memorizing formulas

What should you do if you encounter a very hard question on the practice exam?

• Guess the answer immediately

• Stop the exam

• Spend extra time on it

• Skip it and move on