The vector field f=(2xz3−e−xyysin(z),−xe−xysin(z),3x 2z2+e−xycos(z))f=(2xz3−e−xyysin⁡(z) ,−xe−xysin⁡(z),3x2z2+e−xycos⁡(z)) is conservative. find a scalar potential ff and evaluate the line integral over any smooth path cc connecting a(1,0,−1)a(1,0,−1) to b(0,−1,1)b(0,−1,1).

In triangle opq right angled at p op=7cm,oq-pq=1 determine the values of sinq and cosq

On saturday a souvenir shop had 125 customers.sixty four percent of the costumers paid with a credit card. how many costumers paid with cash?

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.