F=(2xy +z³)i + x³j + 3xz²k find a scalar potential and work done in moving an object in the field from (1,-2,1) to (3,1,4)​

Step-by-step explanation:

Given:

This field will have a scalar potential if it satisfies the condition . While the first x- and y- components of are satisfied, the z-component doesn't.

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector as

and its differential is

The work done then is given by

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.