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

pe07lineIntegral-C
{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  {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) 2.36E+07 -b) 2.86E+07  -c) 3.47E+07 +d) 4.20E+07  -e) 5.09E+07 {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) 4.71E+01  +b) 5.93E+01 -c) 7.46E+01  -d) 9.39E+01 -e) 1.18E+02  {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) 3.28E-01 -b) 3.97E-01  -c) 4.81E-01 +d) 5.83E-01  -e) 7.07E-01

pe07lineIntegral-D
{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) 5.66E+04  -b) 7.13E+04 +c) 8.98E+04  -d) 1.13E+05 -e) 1.42E+05  {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) 2.86E+07 -b) 3.47E+07  +c) 4.20E+07 -d) 5.09E+07  -e) 6.17E+07 {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) 5.93E+01  -b) 7.46E+01 -c) 9.39E+01  -d) 1.18E+02 -e) 1.49E+02  {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

pe07lineIntegral-E
{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  {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) 2.86E+07 -b) 3.47E+07  +c) 4.20E+07 -d) 5.09E+07  -e) 6.17E+07 {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) 4.71E+01  +b) 5.93E+01 -c) 7.46E+01  -d) 9.39E+01 -e) 1.18E+02  {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) 2.71E-01 -b) 3.28E-01  -c) 3.97E-01 -d) 4.81E-01  +e) 5.83E-01

pe07lineIntegral-F
{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) 3.57E+04  -b) 4.50E+04 -c) 5.66E+04  -d) 7.13E+04 +e) 8.98E+04  {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 {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) 3.74E+01  -b) 4.71E+01 +c) 5.93E+01  -d) 7.46E+01 -e) 9.39E+01  {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) 4.81E-01 +b) 5.83E-01  -c) 7.07E-01 -d) 8.56E-01  -e) 1.04E+00

pe07lineIntegral-G
{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) 7.13E+04  +b) 8.98E+04 -c) 1.13E+05  -d) 1.42E+05 -e) 1.79E+05  {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) 2.86E+07 -b) 3.47E+07  +c) 4.20E+07 -d) 5.09E+07  -e) 6.17E+07 {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  {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) 4.81E-01 +b) 5.83E-01  -c) 7.07E-01 -d) 8.56E-01  -e) 1.04E+00

pe07lineIntegral-H
{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) 5.66E+04  -b) 7.13E+04 +c) 8.98E+04  -d) 1.13E+05 -e) 1.42E+05  {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) 2.36E+07 -b) 2.86E+07  -c) 3.47E+07 +d) 4.20E+07  -e) 5.09E+07 {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) 2.36E+01  -b) 2.97E+01 -c) 3.74E+01  -d) 4.71E+01 +e) 5.93E+01  {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

pe07lineIntegral-I
{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) 4.50E+04  -b) 5.66E+04 -c) 7.13E+04  +d) 8.98E+04 -e) 1.13E+05  {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) 2.86E+07 -b) 3.47E+07  +c) 4.20E+07 -d) 5.09E+07  -e) 6.17E+07 {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) 3.74E+01  -b) 4.71E+01 +c) 5.93E+01  -d) 7.46E+01 -e) 9.39E+01  {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) 2.71E-01 -b) 3.28E-01  -c) 3.97E-01 -d) 4.81E-01  +e) 5.83E-01

pe07lineIntegral-J
{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) 7.13E+04  +b) 8.98E+04 -c) 1.13E+05  -d) 1.42E+05 -e) 1.79E+05  {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) 4.20E+07 -b) 5.09E+07  -c) 6.17E+07 -d) 7.47E+07  -e) 9.05E+07 {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  {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) 3.28E-01 -b) 3.97E-01  -c) 4.81E-01 +d) 5.83E-01  -e) 7.07E-01

pe07lineIntegral-K
{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) 7.13E+04  +b) 8.98E+04 -c) 1.13E+05  -d) 1.42E+05 -e) 1.79E+05  {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 {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) 2.36E+01  -b) 2.97E+01 -c) 3.74E+01  -d) 4.71E+01 +e) 5.93E+01  {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) 2.71E-01 -b) 3.28E-01  -c) 3.97E-01 -d) 4.81E-01  +e) 5.83E-01

pe07lineIntegral-L
{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  {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) 3.47E+07 +b) 4.20E+07  -c) 5.09E+07 -d) 6.17E+07  -e) 7.47E+07 {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) 5.93E+01  -b) 7.46E+01 -c) 9.39E+01  -d) 1.18E+02 -e) 1.49E+02  {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) 3.28E-01 -b) 3.97E-01  -c) 4.81E-01 +d) 5.83E-01  -e) 7.07E-01

pe07lineIntegral-M
{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  {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) 2.86E+07 -b) 3.47E+07  +c) 4.20E+07 -d) 5.09E+07  -e) 6.17E+07 {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) 2.36E+01  -b) 2.97E+01 -c) 3.74E+01  -d) 4.71E+01 +e) 5.93E+01  {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) 3.97E-01 -b) 4.81E-01  +c) 5.83E-01 -d) 7.07E-01  -e) 8.56E-01

pe07lineIntegral-N
{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) 7.13E+04  +b) 8.98E+04 -c) 1.13E+05  -d) 1.42E+05 -e) 1.79E+05  {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) 3.47E+07 +b) 4.20E+07  -c) 5.09E+07 -d) 6.17E+07  -e) 7.47E+07 {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) 3.74E+01  -b) 4.71E+01 +c) 5.93E+01  -d) 7.46E+01 -e) 9.39E+01  {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) 2.71E-01 -b) 3.28E-01  -c) 3.97E-01 -d) 4.81E-01  +e) 5.83E-01

pe07lineIntegral-O
{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  {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) 2.86E+07 -b) 3.47E+07  +c) 4.20E+07 -d) 5.09E+07  -e) 6.17E+07 {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) 2.36E+01  -b) 2.97E+01 -c) 3.74E+01  -d) 4.71E+01 +e) 5.93E+01  {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

pe07lineIntegral-P
{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) 4.50E+04  -b) 5.66E+04 -c) 7.13E+04  +d) 8.98E+04 -e) 1.13E+05  {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 {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) 4.71E+01  +b) 5.93E+01 -c) 7.46E+01  -d) 9.39E+01 -e) 1.18E+02  {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

pe07lineIntegral-Q
{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) 4.50E+04  -b) 5.66E+04 -c) 7.13E+04  +d) 8.98E+04 -e) 1.13E+05  {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 {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  {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) 2.71E-01 -b) 3.28E-01  -c) 3.97E-01 -d) 4.81E-01  +e) 5.83E-01

pe07lineIntegral-R
{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  {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) 2.36E+07 -b) 2.86E+07  -c) 3.47E+07 +d) 4.20E+07  -e) 5.09E+07 {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) 4.71E+01  +b) 5.93E+01 -c) 7.46E+01  -d) 9.39E+01 -e) 1.18E+02  {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) 3.97E-01 -b) 4.81E-01  +c) 5.83E-01 -d) 7.07E-01  -e) 8.56E-01

pe07lineIntegral-S
{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  {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 {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  {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) 3.28E-01 -b) 3.97E-01  -c) 4.81E-01 +d) 5.83E-01  -e) 7.07E-01

pe07lineIntegral-T
{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) 3.57E+04  -b) 4.50E+04 -c) 5.66E+04  -d) 7.13E+04 +e) 8.98E+04  {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) 4.20E+07 -b) 5.09E+07  -c) 6.17E+07 -d) 7.47E+07  -e) 9.05E+07 {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) 2.36E+01  -b) 2.97E+01 -c) 3.74E+01  -d) 4.71E+01 +e) 5.93E+01  {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) 3.97E-01 -b) 4.81E-01  +c) 5.83E-01 -d) 7.07E-01  -e) 8.56E-01

pe07lineIntegral-U
{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) 4.50E+04  -b) 5.66E+04 -c) 7.13E+04  +d) 8.98E+04 -e) 1.13E+05  {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) 2.36E+07 -b) 2.86E+07  -c) 3.47E+07 +d) 4.20E+07  -e) 5.09E+07 {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) 2.36E+01  -b) 2.97E+01 -c) 3.74E+01  -d) 4.71E+01 +e) 5.93E+01  {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

pe07lineIntegral-V
{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) 5.66E+04  -b) 7.13E+04 +c) 8.98E+04  -d) 1.13E+05 -e) 1.42E+05  {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) 2.36E+07 -b) 2.86E+07  -c) 3.47E+07 +d) 4.20E+07  -e) 5.09E+07 {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) 2.36E+01  -b) 2.97E+01 -c) 3.74E+01  -d) 4.71E+01 +e) 5.93E+01  {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) 2.71E-01 -b) 3.28E-01  -c) 3.97E-01 -d) 4.81E-01  +e) 5.83E-01

pe07lineIntegral-W
{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) 3.57E+04  -b) 4.50E+04 -c) 5.66E+04  -d) 7.13E+04 +e) 8.98E+04  {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) 2.86E+07 -b) 3.47E+07  +c) 4.20E+07 -d) 5.09E+07  -e) 6.17E+07 {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) 3.74E+01  -b) 4.71E+01 +c) 5.93E+01  -d) 7.46E+01 -e) 9.39E+01  {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) 2.71E-01 -b) 3.28E-01  -c) 3.97E-01 -d) 4.81E-01  +e) 5.83E-01

pe07lineIntegral-X
{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  {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 {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) 3.74E+01  -b) 4.71E+01 +c) 5.93E+01  -d) 7.46E+01 -e) 9.39E+01  {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

pe07lineIntegral-Y
{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) 4.50E+04  -b) 5.66E+04 -c) 7.13E+04  +d) 8.98E+04 -e) 1.13E+05  {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) 4.20E+07 -b) 5.09E+07  -c) 6.17E+07 -d) 7.47E+07  -e) 9.05E+07 {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) 5.93E+01  -b) 7.46E+01 -c) 9.39E+01  -d) 1.18E+02 -e) 1.49E+02  {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) 3.28E-01 -b) 3.97E-01  -c) 4.81E-01 +d) 5.83E-01  -e) 7.07E-01

pe07lineIntegral-Z
{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) 7.13E+04  +b) 8.98E+04 -c) 1.13E+05  -d) 1.42E+05 -e) 1.79E+05  {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) 3.47E+07 +b) 4.20E+07  -c) 5.09E+07 -d) 6.17E+07  -e) 7.47E+07 {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) 3.74E+01  -b) 4.71E+01 +c) 5.93E+01  -d) 7.46E+01 -e) 9.39E+01  {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) 3.97E-01 -b) 4.81E-01  +c) 5.83E-01 -d) 7.07E-01  -e) 8.56E-01