Quiz on Integral area and volume equations

#1 Which of the following definitions matches the term?

Differentiable graph

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

π∫ (axis - top)² - (axis - bottom)² No corner, cusp, vertical line "Left" and "right" functions are equal at point ∫ [multiplier] (top-bottom)^[something]

#3 Which of the following terms matches the definition?

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

Continuous function Continuous graph Integral area function formula semicircle Continuous function

#4 Which of the following definitions matches the term?

Revolve 2 equations over arbitrary line

π∫ (axis - top)² - (axis - bottom)² Top-bottom π∫ (axis - top)² - (axis - bottom)² No holes, jumps, asymptotes

#5 Which of the following terms matches the definition?

Take deriv, plug in value

Integral area function formula semicircle Integral area function formula equilateral triangle Revolve 2 equations over arbitrary line Differentiable function

#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

**(√3 )/4 * base²**

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

1/2 base²

True

False

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

Continuous graph

No holes, jumps, asymptotes

True

False

Section 1: Multiple Choice questions

Differentiable graph

Volume of solid with base _______

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

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

**(√3 )/4 * base²**

Integral area function formula isosceles triangle

1/2 base²

Integral area function formula rectangle

1/2 base²

Continuous graph

No holes, jumps, asymptotes

Triple-checked your answers?

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