Physics equations/07-Work and Energy/lineIntegral/Testbank

pe07lineIntegral-C

<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) 2.36E+07 -b) 2.86E+07 -c) 3.47E+07 +d) 4.20E+07 -e) 5.09E+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) 4.71E+01 +b) 5.93E+01 -c) 7.46E+01 -d) 9.39E+01 -e) 1.18E+02

{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) 3.28E-01 -b) 3.97E-01 -c) 4.81E-01 +d) 5.83E-01 -e) 7.07E-01

</quiz>

pe07lineIntegral-D

<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) 5.66E+04 -b) 7.13E+04 +c) 8.98E+04 -d) 1.13E+05 -e) 1.42E+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) 2.86E+07 -b) 3.47E+07 +c) 4.20E+07 -d) 5.09E+07 -e) 6.17E+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) 5.93E+01 -b) 7.46E+01 -c) 9.39E+01 -d) 1.18E+02 -e) 1.49E+02

{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-E

<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) 2.86E+07 -b) 3.47E+07 +c) 4.20E+07 -d) 5.09E+07 -e) 6.17E+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) 4.71E+01 +b) 5.93E+01 -c) 7.46E+01 -d) 9.39E+01 -e) 1.18E+02

{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) 2.71E-01 -b) 3.28E-01 -c) 3.97E-01 -d) 4.81E-01 +e) 5.83E-01

</quiz>

pe07lineIntegral-F

<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) 3.57E+04 -b) 4.50E+04 -c) 5.66E+04 -d) 7.13E+04 +e) 8.98E+04

{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) 3.74E+01 -b) 4.71E+01 +c) 5.93E+01 -d) 7.46E+01 -e) 9.39E+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) 4.81E-01 +b) 5.83E-01 -c) 7.07E-01 -d) 8.56E-01 -e) 1.04E+00

</quiz>

pe07lineIntegral-G

<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) 7.13E+04 +b) 8.98E+04 -c) 1.13E+05 -d) 1.42E+05 -e) 1.79E+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) 2.86E+07 -b) 3.47E+07 +c) 4.20E+07 -d) 5.09E+07 -e) 6.17E+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) 4.81E-01 +b) 5.83E-01 -c) 7.07E-01 -d) 8.56E-01 -e) 1.04E+00

</quiz>

pe07lineIntegral-H

<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) 5.66E+04 -b) 7.13E+04 +c) 8.98E+04 -d) 1.13E+05 -e) 1.42E+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) 2.36E+07 -b) 2.86E+07 -c) 3.47E+07 +d) 4.20E+07 -e) 5.09E+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) 2.36E+01 -b) 2.97E+01 -c) 3.74E+01 -d) 4.71E+01 +e) 5.93E+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-I

<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) 4.50E+04 -b) 5.66E+04 -c) 7.13E+04 +d) 8.98E+04 -e) 1.13E+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) 2.86E+07 -b) 3.47E+07 +c) 4.20E+07 -d) 5.09E+07 -e) 6.17E+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) 3.74E+01 -b) 4.71E+01 +c) 5.93E+01 -d) 7.46E+01 -e) 9.39E+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) 2.71E-01 -b) 3.28E-01 -c) 3.97E-01 -d) 4.81E-01 +e) 5.83E-01

</quiz>

pe07lineIntegral-J

<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) 7.13E+04 +b) 8.98E+04 -c) 1.13E+05 -d) 1.42E+05 -e) 1.79E+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) 4.20E+07 -b) 5.09E+07 -c) 6.17E+07 -d) 7.47E+07 -e) 9.05E+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) 3.28E-01 -b) 3.97E-01 -c) 4.81E-01 +d) 5.83E-01 -e) 7.07E-01

</quiz>

pe07lineIntegral-K

<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) 7.13E+04 +b) 8.98E+04 -c) 1.13E+05 -d) 1.42E+05 -e) 1.79E+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) 2.36E+01 -b) 2.97E+01 -c) 3.74E+01 -d) 4.71E+01 +e) 5.93E+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) 2.71E-01 -b) 3.28E-01 -c) 3.97E-01 -d) 4.81E-01 +e) 5.83E-01

</quiz>

pe07lineIntegral-L

<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) 3.47E+07 +b) 4.20E+07 -c) 5.09E+07 -d) 6.17E+07 -e) 7.47E+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) 5.93E+01 -b) 7.46E+01 -c) 9.39E+01 -d) 1.18E+02 -e) 1.49E+02

{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) 3.28E-01 -b) 3.97E-01 -c) 4.81E-01 +d) 5.83E-01 -e) 7.07E-01

</quiz>

pe07lineIntegral-M

<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) 2.86E+07 -b) 3.47E+07 +c) 4.20E+07 -d) 5.09E+07 -e) 6.17E+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) 2.36E+01 -b) 2.97E+01 -c) 3.74E+01 -d) 4.71E+01 +e) 5.93E+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) 3.97E-01 -b) 4.81E-01 +c) 5.83E-01 -d) 7.07E-01 -e) 8.56E-01

</quiz>

pe07lineIntegral-N

<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) 7.13E+04 +b) 8.98E+04 -c) 1.13E+05 -d) 1.42E+05 -e) 1.79E+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) 3.47E+07 +b) 4.20E+07 -c) 5.09E+07 -d) 6.17E+07 -e) 7.47E+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) 3.74E+01 -b) 4.71E+01 +c) 5.93E+01 -d) 7.46E+01 -e) 9.39E+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) 2.71E-01 -b) 3.28E-01 -c) 3.97E-01 -d) 4.81E-01 +e) 5.83E-01

</quiz>

pe07lineIntegral-O

<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) 2.86E+07 -b) 3.47E+07 +c) 4.20E+07 -d) 5.09E+07 -e) 6.17E+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) 2.36E+01 -b) 2.97E+01 -c) 3.74E+01 -d) 4.71E+01 +e) 5.93E+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-P

<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) 4.50E+04 -b) 5.66E+04 -c) 7.13E+04 +d) 8.98E+04 -e) 1.13E+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) 4.71E+01 +b) 5.93E+01 -c) 7.46E+01 -d) 9.39E+01 -e) 1.18E+02

{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-Q

<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) 4.50E+04 -b) 5.66E+04 -c) 7.13E+04 +d) 8.98E+04 -e) 1.13E+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) 2.71E-01 -b) 3.28E-01 -c) 3.97E-01 -d) 4.81E-01 +e) 5.83E-01

</quiz>

pe07lineIntegral-R

<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) 2.36E+07 -b) 2.86E+07 -c) 3.47E+07 +d) 4.20E+07 -e) 5.09E+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) 4.71E+01 +b) 5.93E+01 -c) 7.46E+01 -d) 9.39E+01 -e) 1.18E+02

{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) 3.97E-01 -b) 4.81E-01 +c) 5.83E-01 -d) 7.07E-01 -e) 8.56E-01

</quiz>

pe07lineIntegral-S

<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) 3.28E-01 -b) 3.97E-01 -c) 4.81E-01 +d) 5.83E-01 -e) 7.07E-01

</quiz>

pe07lineIntegral-T

<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) 3.57E+04 -b) 4.50E+04 -c) 5.66E+04 -d) 7.13E+04 +e) 8.98E+04

{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) 4.20E+07 -b) 5.09E+07 -c) 6.17E+07 -d) 7.47E+07 -e) 9.05E+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) 2.36E+01 -b) 2.97E+01 -c) 3.74E+01 -d) 4.71E+01 +e) 5.93E+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) 3.97E-01 -b) 4.81E-01 +c) 5.83E-01 -d) 7.07E-01 -e) 8.56E-01

</quiz>

pe07lineIntegral-U

<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) 4.50E+04 -b) 5.66E+04 -c) 7.13E+04 +d) 8.98E+04 -e) 1.13E+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) 2.36E+07 -b) 2.86E+07 -c) 3.47E+07 +d) 4.20E+07 -e) 5.09E+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) 2.36E+01 -b) 2.97E+01 -c) 3.74E+01 -d) 4.71E+01 +e) 5.93E+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-V

<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) 5.66E+04 -b) 7.13E+04 +c) 8.98E+04 -d) 1.13E+05 -e) 1.42E+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) 2.36E+07 -b) 2.86E+07 -c) 3.47E+07 +d) 4.20E+07 -e) 5.09E+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) 2.36E+01 -b) 2.97E+01 -c) 3.74E+01 -d) 4.71E+01 +e) 5.93E+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) 2.71E-01 -b) 3.28E-01 -c) 3.97E-01 -d) 4.81E-01 +e) 5.83E-01

</quiz>

pe07lineIntegral-W

<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) 3.57E+04 -b) 4.50E+04 -c) 5.66E+04 -d) 7.13E+04 +e) 8.98E+04

{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) 2.86E+07 -b) 3.47E+07 +c) 4.20E+07 -d) 5.09E+07 -e) 6.17E+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) 3.74E+01 -b) 4.71E+01 +c) 5.93E+01 -d) 7.46E+01 -e) 9.39E+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) 2.71E-01 -b) 3.28E-01 -c) 3.97E-01 -d) 4.81E-01 +e) 5.83E-01

</quiz>

pe07lineIntegral-X

<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) 3.74E+01 -b) 4.71E+01 +c) 5.93E+01 -d) 7.46E+01 -e) 9.39E+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-Y

<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) 4.50E+04 -b) 5.66E+04 -c) 7.13E+04 +d) 8.98E+04 -e) 1.13E+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) 4.20E+07 -b) 5.09E+07 -c) 6.17E+07 -d) 7.47E+07 -e) 9.05E+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) 5.93E+01 -b) 7.46E+01 -c) 9.39E+01 -d) 1.18E+02 -e) 1.49E+02

{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) 3.28E-01 -b) 3.97E-01 -c) 4.81E-01 +d) 5.83E-01 -e) 7.07E-01

</quiz>

pe07lineIntegral-Z

<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) 7.13E+04 +b) 8.98E+04 -c) 1.13E+05 -d) 1.42E+05 -e) 1.79E+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) 3.47E+07 +b) 4.20E+07 -c) 5.09E+07 -d) 6.17E+07 -e) 7.47E+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) 3.74E+01 -b) 4.71E+01 +c) 5.93E+01 -d) 7.46E+01 -e) 9.39E+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) 3.97E-01 -b) 4.81E-01 +c) 5.83E-01 -d) 7.07E-01 -e) 8.56E-01

</quiz>