Use stoke's theorem to evaluate ∫cf⋅dr where f(x, y,z)=xi+yj+2(x2+y2)k and c is the boundary of the part of the paraboloid where z=81−x2−y2 which lies above the xy-plane and c is oriented counterclockwise when viewed from above.

Parameterize the surface (call it ) that has as its boundary by

with and .

Take the normal vector to to be

Compute the curl of . We have

Then by Stoke's theorem, the line integral is

We can verify this result by computing the line integral directly. Parameterize by

with . Then

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: