* L
Fig. la
A projectile is launched with velocity u at an angle a to the horizontal. After time t the particle
reaches point P(x, y) and has velocity v. Let ß be the inclination of the line segment OP to the
horizontal and O be the direction of motion of the particle at P (Fig. 1a).
Write down the expressions for the acceleration, velocity and position of the particle at
any instant of time.
i. Show that tan pheta = tan a -
gt/u cos a
(ii)
Prove that tan beta =0.5 (tan a + tan pheta).

To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy

Which graph corresponds to the function f(x) = x2 + 4x – 1?

Ray ce is the angle bisector of zacd, which statement about the figure must be true? mzecd-mzecb mzace « 4mzacd zace - zdcb zecd zacd save and exit