Given That Use the Curl Test to Find the Values of the y

Essay

Given that $\operatorname { grad } f = 4 x y z \vec { i } + \left( a x ^ { 2 } z + 10 y z \right) \vec { j } + \left( b x ^ { 2 } y + c y ^ { 2 } \right) \vec { k }$ use the curl test to find the values of the constants a, b and c.