Possible answers 32.8 758.8 0.3 108.4 Find parametric equations for each path de
ID: 2866757 • Letter: P
Question
Possible answers
32.8
758.8
0.3
108.4
Find parametric equations for each path described below. a. The path is circular of radius 5 centered at the origin and starts at (-5,0) and makes one complete revolution clockwise n 5 seconds. . b. The path is linear from (5,4) at t = 0 and goes to the point (-3,-2) at t =1. Approximate the worst possible percentage error in the volume of the tank. Assume that the sides and ends of the tank are of negligible thickness. Possible answers 32.8 758.8 0.3 108.4 T and the perimeter of a cross-section lying in the plane containing the axis of symmetry was measured at The storage tank has the form of a cylinder with one hemisphere end (see figure). The perimeter of a circular cross-section perpendicular to the axis of symmetry of the tank was measured atExplanation / Answer
V = pi*r^2*h + (2/3)*pi*r^3
C = 2pi*r ---> the crosssection perpendicular to the axis
dC = 2pi * dr
1.5 = 2pi * dr
dr = 0.2387 feet
44 = 2pi * r
22/pi = r
r = 7.0028 +/- 0.2387 feet
V = pi*r^2*h + (2/3)*pi*r^3
dV = 2pi*r*h*dr + pi*r^2*dh + (2/3)*pi*3r^2*dr
dV = 2pi*7.0028*h*0.2387 + pi*7.0028^2*dh + (2/3)*pi*3*7.0028^2*0.2387
dV = 10.5027737594982775927*h + 154.0612150880069927*dh + 73.5488240830145383262
From the below expression, it is clear that options 32.8 and 0.3 are rejected.....
It seems likely that our answer will be 108.4 ---> option D