(1 point) consider the vector field f=⟨x2+y2,9xy⟩. compute the line integrals ∫c1f⋅dr and ∫c2f⋅dr, where c1(t)=⟨t, t2⟩ and c2(t)=⟨t, t⟩ for 0≤t≤1. can you decide from your answers whether or not f is a gradient vector field? why or why not?

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv

Acomputer store buys a computer system at a cost of $370.80. the selling price was first at $ 618, but then the store advertised a 20 % markdown on the system. answer parts a and b. a. find the current sale price.