Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, y (x) is the velocity of the fluid (in cm/sec) and x represents the distance (in cm) from the center of the pipe toward the edge. x 0 1 2 3 4 5 6 7 8 9 v (x) 195.9 195.2 194.2 192.7 190.8 188.4 185.6 182.3 178.6 174.5 Part: 0/4 Part 1 of 4 (a) The pipe is 10 m long (1000 cm). Determine how long it will take fluid to run the length of the pipe through the center of the pipe. Round to 1 decimal place. It will take fluid approximately 5.104 sec to run the length of the pipe through the center of the pipe. Part: 1/4 Part 2 of 4 (b) Determine how long it will take fluid at a point 9 cm from the center of the pipe to run the length of the pipe. Round to 1 decimal place. It will take fluid approximately sec to run the length of the pipe at a point 9 cm from the center of the pipe.

Find the equation of the tangent and the equation of the normal to the curve y = x + at the point where z = 2. O a. Equation of Tangent: y=3x + 1, Equation of Normal: 3y + 8x = 31 O b. Equation of Tangent: 4y = 3x + 4, Equation of Normal: 6y + 8x = 31 %3D O c. Equation of Tangent: 4y = x + 4, Equation of Normal: 6y + x = 35 O d. Equation of Tangent: 4y = 3x – 4, Equation of Normal: 6y – 8x = 31

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