Let f(x, y, z) = (5ex sin(y))i + (5ex cos(y))j + 7z2k. evaluate the integral c f · ds, where c(t) = 8 t , t3, exp( t ) , 0 ≤ t ≤ 1. (note that exp(u) = eu.)

Aclothing store has the sign shown in the shop window. pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. the cost of each shirt before the discount is $12, and the cost of each pair of jeans is $19 before the discount. write and simplify an expression to find the amount pani pays if a $3 discount is applied to her total