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Evaluate the integral using the indicated trigonometric substitution {image}

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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Evaluate the integral using the indicated trigonometric substitution {image}

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

  2. 1. 2. 3. 4. Evaluate the integral {image} • {image} • {image} • {image} • {image}

  3. 1. 2. 3. 4. Evaluate the integral {image} • {image} • {image} • {image} • {image}

  4. 1. 2. 3. 4. Find the average value of f ( x ) = ( 16 - x 2 ) 3 / 2 on the interval [ 0 , 4 ]. • {image} • {image} • {image} • {image}

  5. 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 %

  6. 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

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