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# Evaluate the integral using the indicated trigonometric substitution {image} - PowerPoint PPT Presentation

1. 2. 3. 4. Evaluate the integral using the indicated trigonometric substitution {image}. {image} {image} {image} {image}. 1. 2. 3. 4. Evaluate the integral {image}. {image} {image} {image} {image}. 1. 2. 3. 4. Evaluate the integral {image}. {image} {image} {image}

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2.

3.

4.

Evaluate the integral using the indicated trigonometric substitution {image}

• {image}

• {image}

• {image}

• {image}

2.

3.

4.

Evaluate the integral {image}

• {image}

• {image}

• {image}

• {image}

2.

3.

4.

Evaluate the integral {image}

• {image}

• {image}

• {image}

• {image}

2.

3.

4.

Find the average value of f ( x ) = ( 16 - x 2 ) 3 / 2 on the interval [ 0 , 4 ].

• {image}

• {image}

• {image}

• {image}

A water storage tank has the shape of a cylinder with diameter 10 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 6 ft, what percentage of the total capacity is being used?

• 48.4 %

• 52.2 %

• 67.8 %

• 62.7 %

A torus is generated by rotating the circle x 2 + ( y - 7 ) 2 = 16 about the x-axis. Find the volume enclosed by the torus.

• 2,196.49

• 2,215.89

• 2,210.79

• 2,221.29