3. [010.17 Points] DETAILS PREVIOUS ANSWERS SCALCET9 6.4.003. 1/100 Submissions Used MY NOTES ASK YOUR TEACHER A variable force of 8)('2 pounds moves an object along a straight line when it is X feet from the origin. Calculate the work done (in ft-Ib) in moving the object from x = 1 ft to x = 14 ft. (Round your answer to two decimal places.) X Your answer cannot be understood or graded. More Information ft-lb Need Help? 12. [010.17 Points] DETAILS PREVIOUS ANSWERS SCALCET9 6.4.024. 1/100 Submissions Used MY NOTES ASK YOUR TEACHER A tank is full of water. Find the work (in J) required to pump the water out of the spout. (Use 9.3 m/s2 for 9. Use 1,000 kg/m3 as the density of water. Round your answer to the nearest whole number.) ']2m -x J Need Help? i 9. [0/0.17 Points] DETAILS PREVIOUS ANSWERS SCALCET9 6.XP.4.007. 1/100 Submissions Used MY NOTES ASK YOUR TEACHER A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 38 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 Ib/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter x.* as x;.) lim 36 - 0.1 . x; x Ax i=1 Express the work as an integral. 90 X 36x90 - 0.1 8100 2 x dx Evaluate the integral. 2835 X ft-lb Enhanced Feedback Please try again. Let f(x) be the force (weight) of the bucket at distance x. Then the formula that approximates work using a :Riemann Sum is W = > ((x.)Ax, where the total distance of the bucket is divided into n subintervals, each of length Ax, And x; i = 1 ;is a point in the ith subinterval