a How are the constants a, b, and c related if the following differential form is exact (ay 2 2czx) dx y(bx cz) dy (ay 2 cx 2 ) dz b For what values of b and c will F (y 2 2czx)i y(bx cz)j ( y 2 cx 2 )k be a gradient field

Question: a. How are the constants a, b, and c related if the following differential form is exact? (ay 2 + 2czx) dx + y(bx +

a. How are the constants a, b, and c related if the following differential form is exact? (ay² + 2czx) dx + y(bx + cz) dy + (ay² + cx²) dz

b. For what values of b and c will F = (y² + 2czx)i + y(bx + cz)j + ( y² + cx²)k be a gradient field?

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a To determine if the given differential form is exact we need to check if it satisfies the condition for exactness which is that the partial derivati... View full answer

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