That's about all you need.2. A closed can in the shape of a right circular cylinder is designed to hold 12 oz. soda. If the height of the cylinder is x in., write an equation in terms of x to represent the amount of material needed to construct the closed can. (1 fl. oz. = 1.805 in^3) Find the minimum amount of material needed.
This is a trig problem. Put that in there and use your best quadratic equation skills.3. Solve over the given interval: sin(x) - cos(2x)=0, -pi/2 ≤ x ≤ pi
First, do they EVER cross paths? Can you draw those parametric definition as given or would it be easier now to get rid of the "t"? After determining that they are at least in the same neighborhood, do they get there at the same time? You'll have to put the "t" back in to tell that. In any case, if they run into each other, the "x"s and "y"s will have to do it at the same time.4. Two particles move in the x-y plane. For t≥0 the position of a particle A is x=(t-2)^2 and y=t-2 and the position of particle B is x=(3/2)t - 2 and y= (3/2)t - 4. At what time do the particles collide?
Solve these and see if you get the same solution
Good Luck in AP Calc!