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

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Only version A of this testbank has been tested.

pe07lineIntegral-A

<quiz display=simple> {Integrate the line integral of, $\overrightarrow{F}=9xy\hat{x}+9.5y^3\hat{y}$, 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

{Integrate the function, $\overrightarrow{F}=r^7{\theta }^9\hat{r}+r^7{\theta }^5\hat{\theta }$ , 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

{Integrate the line integral of $\overrightarrow{F}=4xy\hat{x}+7.7x\hat{y}$ 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

{Integrate the function, $\overrightarrow{F}=-x^2{y}^2\hat{x}+x^2{y}^3\hat{y}$, 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

</quiz>

pe07lineIntegral B

<quiz display=simple> {Integrate the line integral of, $\overrightarrow{F}=7.8xy\hat{x}+9.6y^3\hat{y}$, 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

{Integrate the function, $\overrightarrow{F}=r^8{\theta }^9\hat{r}+r^9{\theta }^3\hat{\theta }$ , 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

{Integrate the line integral of $\overrightarrow{F}=2.9xy\hat{x}+9.9x\hat{y}$ 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

{Integrate the function, $\overrightarrow{F}=-x^5{y}^2\hat{x}+x^3{y}^5\hat{y}$, 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

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pe07lineIntegral C

<quiz display=simple> {Integrate the line integral of, $\overrightarrow{F}=6.3xy\hat{x}+8.3y^3\hat{y}$, 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

{Integrate the function, $\overrightarrow{F}=r^7{\theta }^8\hat{r}+r^9{\theta }^9\hat{\theta }$ , 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

{Integrate the line integral of $\overrightarrow{F}=2.9xy\hat{x}+9.6x\hat{y}$ 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

{Integrate the function, $\overrightarrow{F}=-x^2{y}^5\hat{x}+x^3{y}^5\hat{y}$, 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

</quiz>