Assignment 8Due Monday October 11

12.2 18,19,20

12.3 1,3,4,6

1) a parameterized curve in R

^{2}given byx = t ^{3}y = t^{6}is not differentiable at t = 0.

Sketch the curve. Is it possible to give another parametrization for the same curve which is differential everywhere? If so give such parametrization.

2)a canon fire at angle of 30

^{ƒ}. The ball hit the ground 100 ft. from the cannon. assume that the only force is the gravitation (32 ft/sc^{2}) find the initial speed and time of the flight.

3) Find the tangential and normal component of the acceleration vector.

a) r(t) = (t

^{2}+4)i+(2t-3)j

b) r(t) = t

i+4sin(t)j+4cos(t)k

4) Drew a couture map of the function showing several level curves.

a) f(x,y) = xy

b ) f(x,y) = e

^{xy}

c) f(x,y) =

x+y

x-y

File translated from T_{E}X by T_{T}H, version 2.25.

On 7 Oct 1999, 17:28.