Quiz on Integral area and volume equations

#1 Which of the following terms matches the definition?

No corner, cusp, vertical line

Integral area function formula "base" Volume of solid with base _______ Differentiable graph Continuous graph

#2 Which of the following definitions matches the term?

Volume of solid with base _______

π∫ (axis - top)² - (axis - bottom)² "Left" and "right" functions are equal at point ∫ [multiplier] (top-bottom)^[something] Base * height

#3 Which of the following definitions matches the term?

Continuous function

"Left" and "right" functions are equal at point Base² Base * height Top-bottom

#4 Which of the following definitions matches the term?

Revolve 2 equations over arbitrary line

(√3 )/4 * base² π∫ top² - bottom² "Left" and "right" functions are equal at point π∫ (axis - top)² - (axis - bottom)²

#5 Which of the following definitions matches the term?

Differentiable function

Take deriv, plug in value Take deriv, plug in value (√3 )/4 * base² ∫ [multiplier] (top-bottom)^[something]

#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

**Base * height**

True

False

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

Integral area function formula rectangle

**π/8 * 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

No corner, cusp, vertical line

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

π∫ top² - bottom²

Integral area function formula isosceles triangle

**Base * height**

Integral area function formula rectangle

**π/8 * base²**

Continuous graph

No holes, jumps, asymptotes

Triple-checked your answers?

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