Physics equations/07-Work and Energy/Q:lineIntegral

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Only version A of this testbank has been tested.

pe07lineIntegral-A

1. Integrate the line integral of, \vec F = 9xy\hat x + 9.5y^3\hat y , along the y axis from y = 5 to y = 14

a) 8.98E+04
b) 1.13E+05
c) 1.42E+05
d) 1.79E+05
e) 2.25E+05

2. Integrate the function, \vec F = r^7\theta^9\hat r + r^7\theta^5\hat \theta , along the first quadrant of a circle of radius 8

a) 1.95E+07
b) 2.36E+07
c) 2.86E+07
d) 3.47E+07
e) 4.20E+07

3. Integrate the line integral of \vec F = 4xy\hat x + 7.7x\hat y from the origin to the point at x = 2.5 and y = 3.3

a) 2.97E+01
b) 3.74E+01
c) 4.71E+01
d) 5.93E+01
e) 7.46E+01

4. Integrate the function, \vec F = -x^2y^2\hat x + x^2y^3\hat y, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1)}. Orient the path so its direction is out of the paper by the right hand rule

a) 5.83E-01
b) 7.07E-01
c) 8.56E-01
d) 1.04E+00
e) 1.26E+00

Your score is 0 / 0

pe07lineIntegral B

1. Integrate the line integral of, \vec F = 7.8xy\hat x + 9.6y^3\hat y , along the y axis from y = 6 to y = 16

a) 9.73E+04
b) 1.22E+05
c) 1.54E+05
d) 1.94E+05
e) 2.44E+05

2. Integrate the function, \vec F = r^8\theta^9\hat r + r^9\theta^3\hat \theta , along the first quadrant of a circle of radius 9

a) 2.46E+09
b) 2.98E+09
c) 3.62E+09
d) 4.38E+09
e) 5.31E+09

3. Integrate the line integral of \vec F = 2.9xy\hat x + 9.9x\hat y from the origin to the point at x = 2.5 and y = 3.5

a) 3.23E+01
b) 4.07E+01
c) 5.12E+01
d) 6.45E+01
e) 8.11E+01

4. Integrate the function, \vec F = -x^5y^2\hat x + x^3y^5\hat y, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1)}. Orient the path so its direction is out of the paper by the right hand rule

a) 2.27E-01
b) 2.75E-01
c) 3.33E-01
d) 4.04E-01
e) 4.89E-01

Your score is 0 / 0

pe07lineIntegral C

1. Integrate the line integral of, \vec F = 6.3xy\hat x + 8.3y^3\hat y , along the y axis from y = 3 to y = 16

a) 1.08E+05
b) 1.36E+05
c) 1.71E+05
d) 2.15E+05
e) 2.71E+05

2. Integrate the function, \vec F = r^7\theta^8\hat r + r^9\theta^9\hat \theta , along the first quadrant of a circle of radius 8

a) 6.69E+09
b) 8.11E+09
c) 9.82E+09
d) 1.19E+10
e) 1.44E+10

3. Integrate the line integral of \vec F = 2.9xy\hat x + 9.6x\hat y from the origin to the point at x = 2.6 and y = 3.1

a) 2.95E+01
b) 3.72E+01
c) 4.68E+01
d) 5.89E+01
e) 7.42E+01

4. Integrate the function, \vec F = -x^2y^5\hat x + x^3y^5\hat y, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1)}. Orient the path so its direction is out of the paper by the right hand rule

a) 5.00E-01
b) 6.06E-01
c) 7.34E-01
d) 8.89E-01
e) 1.08E+00

Your score is 0 / 0
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