Electric Potential The electric potential V at any point (x. y) is V ( x , y ) = 5 25 + x 2 + y 2 Sketch the equipotential curves for V = 1 2 , V = 1 3 , and V = 1 4 .
Electric Potential The electric potential V at any point (x. y) is V ( x , y ) = 5 25 + x 2 + y 2 Sketch the equipotential curves for V = 1 2 , V = 1 3 , and V = 1 4 .
Solution Summary: The author explains the Equipotential curve, where the potential function V at any point is V(x,y)=5sqrt25+x2+y2
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
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