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Solve the Problem a,ba , b And cc That Make Gradient Field

Question 130

Short Answer

Solve the problem.
-Find the values of a,ba , b and cc that make F=9y4z10(ax7+bx8)i36y3z10(7x87x9)j+cy4z9(7x87x9)kaF = - 9 y ^ { 4 } z ^ { 10 } \left( a x ^ { 7 } + b x ^ { 8 } \right) i - 36 y ^ { 3 } z ^ { 10 } \left( 7 x ^ { 8 } - 7 x ^ { 9 } \right) j + c y ^ { 4 } z ^ { 9 } \left( 7 x ^ { 8 } - 7 x ^ { 9 } \right) \mathbf { k } a gradient field.

Correct Answer:

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a = 56, b ...

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