A particle is moving along the curve y = 2\\/3z + 1. As the particle passes through the point (1, 4), its :n-ooordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this instant. Consider the function x) = z 2. {A} Find f1(2) = {E} Use Theorem T, page 156 of the Stewart Essential Calculus textbook to nd (fl)'(2) (FIVE!) = {C} Calculate f1(z) and state domain and range of fl. Use interval notation. If needed enter inf for 00 or -inl' for oo. Calculate (f'1)'(2) from the formula for 3\"](3) and check that it agrees with the result of part (B) Consider the function HI) = for :1: :> 6. I {A} Find fl') = E {B} Use Theorem 7", page 156 of the Stewart Essential Calculus textbook to nd (fl)'(7) (em a {C} Calculate f1(:1:) and state domain and range of fl. Use interval notation. If needed enter inf for oo or -ini' for oo. Calculate (f1}'(7) from the formula for f4 (3:) and check that it agrees with the result of part {B}