Let r = (x^2 + y^2)^1/2 and consider the vector field F = r^A(−yi + xj ), where r =/ 0 and A is a constant. F has no z-component and is independent of z.
(a) Find curl (r^A(−yi + xj )), and show that it can be written in the form curl F = r^ak , where a = , for any constant A.

F(x)=x^3+4 question 6 options: the parent function is shifted up 4 units the parent function is shifted down 4 units the parent function is shifted left 4 units the parent function is shifted right 4 units

Let hh represent the number of hummingbirds and ss represent the number of sunbirds that must pollinate the colony so it can survive until next year. 6h+4s > 746h+4s> 74 this year, 88 hummingbirds pollinated the colony. what is the least number of sunbirds that must pollinate the colony to ensure that it will survive until next year?

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible