Quiz on Integral area and volume equations

#1 Which of the following definitions matches the term?

Differentiable graph

Top-bottom π∫ top² - bottom² No corner, cusp, vertical line Base²

#2 Which of the following terms matches the definition?

∫ [multiplier] (top-bottom)^[something]

Continuous graph Revolve 2 equations over arbitrary line Volume of solid with base _______ Integral area function formula "base"

#3 Which of the following definitions matches the term?

Continuous function

(√3 )/4 * base² 1/2 base² "Left" and "right" functions are equal at point π/8 * base²

#4 Which of the following definitions matches the term?

Revolve 2 equations over arbitrary line

π∫ (axis - top)² - (axis - bottom)² π∫ (axis - top)² - (axis - bottom)² ∫ [multiplier] (top-bottom)^[something] π/8 * base²

#5 Which of the following terms matches the definition?

Take deriv, plug in value

Differentiable function Differentiable graph Revolve 2 equations over arbitrary line Continuous graph

#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

π∫ top² - bottom²

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

"Left" and "right" functions are equal at point

True

False

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

Continuous graph

**(√3 )/4 * base²**

True

False

Section 1: Multiple Choice questions

Differentiable graph

∫ [multiplier] (top-bottom)^[something]

Continuous function

Revolve 2 equations over arbitrary line

Take deriv, plug in value

Section 2: True/false questions

Integral area function formula equilateral triangle

**(√3 )/4 * base²**

Revolve 2 equations over axis

π∫ top² - bottom²

Integral area function formula isosceles triangle

1/2 base²

Integral area function formula rectangle

"Left" and "right" functions are equal at point

Continuous graph

**(√3 )/4 * base²**

Triple-checked your answers?

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