Quiz on Integral area and volume equations

#1 Which of the following definitions matches the term?

Differentiable graph

Top-bottom Base * height ∫ [multiplier] (top-bottom)^[something] No corner, cusp, vertical line

#2 Which of the following definitions matches the term?

Volume of solid with base _______

(√3 )/4 * base² 1/2 base² π∫ top² - bottom² ∫ [multiplier] (top-bottom)^[something]

#3 Which of the following definitions matches the term?

Continuous function

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

#4 Which of the following terms matches the definition?

π∫ (axis - top)² - (axis - bottom)²

Volume of solid with base _______ Revolve 2 equations over arbitrary line Revolve 2 equations over arbitrary line Continuous function

#5 Which of the following definitions matches the term?

Differentiable function

π∫ (axis - top)² - (axis - bottom)² No holes, jumps, asymptotes Top-bottom Take deriv, plug in value

#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

No corner, cusp, vertical line

True

False

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

Integral area function formula isosceles triangle

π∫ (axis - top)² - (axis - bottom)²

True

False

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

Integral area function formula rectangle

Base²

True

False

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

Continuous graph

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

True

False

Section 1: Multiple Choice questions

Differentiable graph

Volume of solid with base _______

Continuous function

π∫ (axis - top)² - (axis - bottom)²

Differentiable function

Section 2: True/false questions

Integral area function formula equilateral triangle

**(√3 )/4 * base²**

Revolve 2 equations over axis

No corner, cusp, vertical line

Integral area function formula isosceles triangle

π∫ (axis - top)² - (axis - bottom)²

Integral area function formula rectangle

Base²

Continuous graph

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

Triple-checked your answers?

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