fareha

4. Given the function f defined by f(x) = cos2x for -π≤ x ≤π a. Find the x-intercepts of the graph of f. b. Find the x and y coordinates of all relative maximum points of f. Justify your answer. c. Find the intervals on which the graph of f is increasing.

5. A particle moves along the x-axis in such a way that its position at time t is given by x=3t^4-16t^3+24t^2 for -5 ≤ t ≤ 5. a. Determine the velocity and acceleration of the particle at time t. b. At what values of t is the particle at rest? c. At what...

if a farmer has 100 feet of fence and wants to make a rectangular pigpen, one side of which is along existing straight fence.What dimensions should be used in order to maximize the area of the pen?

You are standing at the edge of a slow moving river which is one mile wide and wish to return to your campground on the opposite side of the river. You can swim at 2 mph and walk 3 mph. You must first swim across the river to any point on the opposite ban...

Construct a window in the shape of a semi-circle over a rectangle.If the distance around the outside of the window is 12 feet.What dimensions will result in the rectangle having the largest possible area? We need to find Amax I know the circmfrence is 12...

so I know you will use T=dr/rr +dL/rL

thanks!!