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Practice+Test+5

# Practice+Test+5 - 0.8 m to a length of 0.75 m Find the work...

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1 Practice Test 5 Evaluate the integral 1. - dy y y 2 ) 2 ( 2. dx x x x - 7 9 5 8 3. dx x x ) (sin sec cos 2 4. - - - dx x x x x 4 3 2 2 3 2 5. dx e x x x - - + + 1 1 6 5 2 ) 5 2 ( 6. - 21 14 5 dx x x 7. 3 0 4 tan sec π dx x x 8. Make a sketch of the region bounded by y = x 2 and y = 4x (or x = y 2 and x – y -2 = 0) and find the area of that region. 9. Calculate the volume of the solid generated by revolving the region bounded by y = x 2 and y = 4 – x 2 about the x-axis (or x = y 2 and x – y -2 = 0 about the y-axis) 10. Calculate the volume of the solid generated by revolving the region bounded by y = x 2 -5x and y = 0 about the y-axis (or x 2 = 4y and y = 0 about x –axis) . 11. Set up the integral to solve: A force of 25N is required to compress a spring of natural length
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Unformatted text preview: 0.8 m to a length of 0.75 m. Find the work done in compressing the spring from its natural length to a length of 0.7 m. (or A fish tank has a rectangular base measuring 1 ft wide and 4 ft long and is 2 ft high. If it is filled with water, what work is required to pump all of the water over the top? – You should be able to do this type of problem with various shaped containers) 12. Find the average value of f(x) = x 3 – x 2 over [1, 4]....
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