1 over the interval [1,2]. Ans: 458,999 16,128. Find the arc length of the graph of the function
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1 Exercise Group: -6 Sectio: 7.4. Fid the arc legth of the graph of the fuctio y 9 x over the iterval [,]. As: 458,999 6,8 8 4x 7 Exercise Group: -6 Sectio: 7.4. Fid the arc legth of the graph of the fuctio y x 5 over the iterval [,64]. As: 7 7 Exercise Group: -6 Sectio: 7.4. Fid the arc legth of the graph of the fuctio 0 y 5. As: 40 x y over the iterval Exercise Group: -6 Sectio: Fid the arc legth of the graph of the fuctio x ( y ) y over the iterval y 6. As: 0 Exercise Group: -4 Sectio: Determie the work doe by liftig a 50 poud bag of sugar 9 feet. As:,50 ft-lb Exercise Group: 5- Sectio: A force of 50 Newtos stretches a sprig 40 cetimeters. How much work is doe i Page
2 stretchig the sprig from 5 cetimeters to 55 cetimeters? As: 75 joules Exercise Group: 5- Sectio: A overhead garage door has two sprigs, oe o each side of the door. A force of 6 pouds is required to stretch each sprig foot. Because of the pulley system, the sprigs stretch oly oe-half the distace the door travels. The door moves a total of 4 feet ad sprigs are at their atural legth whe the door is ope. Fid the work doe by pair of strigs. As: 784 ft-lb Exercise Group: 5- Sectio: A force of 5 pouds stretches a sprig iches i a exercise machie. Fid the work doe i stretchig the sprig feet from its atural positio. As: 60 ft-lb Exercise Group: -4 Sectio: The area of the top side of a piece of sheet metal is 9 square feet. The sheet metal is submerged horizotally i 7 feet of water. Fid the fluid force o the top side. Roud your aswer to oe decimal place. As: 9. lb Exercise Group: 5-6 Sectio: Fid the buoyat force of a rectagular solid of the give dimesios submerged i water so that the top side is parallel to the surface of the water. The buoyat force is the differece betwee the fluid forces o the top ad bottom sides of the solid. Roud your aswer to two decimal places. Page
3 As: lb Exercise Group: -0 Sectio: 9.. Write the first five terms of the sequece. a = ( ) As:,,,, 4 5 Exercise Group: 45-7 Sectio: 9.. Determie the covergece or divergece of the sequece with the give th term. If the sequece coverges, fid its limit. a = 9 As: The sequece coverges to 0. Exercise Group: 45-7 Sectio: 9.. Determie the covergece or divergece of the sequece with the give th term. If the sequece coverges, fid its limit. a = l 5 7 Page
4 As: The sequece coverges to 0. Exercise Group: 45-7 Sectio: Determie the covergece or divergece of the sequece with the give th term. If the sequece coverges, fid its limit. 0 l a = 6 As: The sequece coverges to 0. Exercise Group: 7-86 Sectio: Write a expressio for the th term of the sequece 6,4,,0,. As: 8 Exercise Group: 7-86 Sectio: Write a expressio for the th term of the sequece,,,, As: 4 4. Exercise Group: 9-8 Sectio: True or false. The ifiite series diverges. 9 As: true Exercise Group: 7-5 Sectio: Fid the sum of the coverget series As: 8 5 Page 4
5 Exercise Group: 7-5 Sectio: Fid the sum of the coverget series. ( 7)( 9) As: 7 48 Exercise Group: Sectio: True or false. The series is diverget. 0 As: false 8 Exercise Group: Sectio: 9.. Determie the covergece or divergece of the series As: Coverges Exercise Group: -4 Sectio: 9.. Use the Itegral Test to determie the covergece or divergece of the series. As: diverges Exercise Group: -4 Sectio: 9.. Use the Itegral Test to determie the covergece or divergece of the series. e 4 As: coverges Page 5
6 Exercise Group: -4 Sectio: True or false: The series As: false diverges. Exercise Group: 5-4 Sectio: Use Theorem 9. to determie the covergece or divergece of the series. 0 As: diverges Exercise Group: 5-4 Sectio: Use Theorem 9. to determie the covergece or divergece of the series As: coverges Exercise Group: 5-4 Sectio: Use Theorem 9. to determie the covergece or divergece of the series..6 As: coverges Exercise Group: -6 Sectio: ( ) True or false: The series coverges. 5 As: true Exercise Group: -6 Sectio: 9.5 Page 6
7 9. Use the Alteratig Series Test (if possible) to determie whether the series coverges or diverges? 6 As: diverges Exercise Group: -6 Sectio: True or false: The series sec As: true diverges.. Exercise Group: -6 Sectio: 9.5 True or false: The series As: true coverges. 7! Exercise Group: -4 Sectio: 9.7. Fid the Maclauri polyomial of degree 4 for the fuctio. 5x f ( x) e As: x x x x 6 4 Exercise Group: -4 Sectio: 9.7. Fid the Maclauri polyomial of degree 5 for the fuctio. f ( x) si( x) As: 5 x x x 6 0 Exercise Group: -4 Sectio: Fid the Maclauri polyomial of degree 4 for the fuctio. f ( x) cos( x) Page 7
8 As: 4 x x 4 Exercise Group: -4 Sectio: Fid the fourth degree Maclauri polyomial for the fuctio. f( x) x 6 As: 4 x x x x Exercise Group: 5-0 Sectio: Fid the third Taylor polyomial for f x, expaded about c. x As: P x x x x Exercise Group: 5-0 Sectio: Fid the third degree Taylor polyomial cetered at c = for the fuctio. f ( x) x As: ( x ) ( x ) ( x ) 8 6 Exercise Group: 5-0 Sectio: Fid the fourth degree Taylor polyomial cetered at c = 9 for the fuctio. f ( x) l x As: 4 l9 ( x 9) ( x 9) ( x 9) ( x 9) ,44 Exercise Group: -6 Sectio: Fid the arc legth of the graph of the fuctio y 4x over the iterval [0,5]. Page 8
9 As: ,944 Page 9
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