Quiz on Integral area and volume equations

#1 Which of the following definitions matches the term?

Differentiable graph

1/2 base² No corner, cusp, vertical line π∫ top² - bottom² π/8 * base²

#2 Which of the following definitions matches the term?

Volume of solid with base _______

Take deriv, plug in value ∫ [multiplier] (top-bottom)^[something] ∫ [multiplier] (top-bottom)^[something] π/8 * base²

#3 Which of the following definitions matches the term?

Continuous function

π/8 * base² "Left" and "right" functions are equal at point Base * height Base²

#4 Which of the following definitions matches the term?

Revolve 2 equations over arbitrary line

Top-bottom π∫ (axis - top)² - (axis - bottom)² (√3 )/4 * base² π/8 * base²

#5 Which of the following definitions matches the term?

Differentiable function

Take deriv, plug in value ∫ [multiplier] (top-bottom)^[something] π/8 * base² No corner, cusp, vertical line

#6 Determine if the following combination is true or false.

Integral area function formula equilateral triangle

**(√3 )/4 * base²**

True

False

#7 Determine if the following combination is true or false.

Revolve 2 equations over axis

Top-bottom

True

False

#8 Determine if the following combination is true or false.

Integral area function formula isosceles triangle

1/2 base²

True

False

#9 Determine if the following combination is true or false.

Integral area function formula rectangle

**Base * height**

True

False

#10 Determine if the following combination is true or false.

Continuous graph

Base²

True

False

Section 1: Multiple Choice questions

Differentiable graph

Volume of solid with base _______

Continuous function

Revolve 2 equations over arbitrary line

Differentiable function

Section 2: True/false questions

Integral area function formula equilateral triangle

**(√3 )/4 * base²**

Revolve 2 equations over axis

Top-bottom

Integral area function formula isosceles triangle

1/2 base²

Integral area function formula rectangle

**Base * height**

Continuous graph

Base²

Triple-checked your answers?

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