MATH

MATH
(01)

(a) A stone projected vertically upwards has risen to a height of h cm, in time of t seconds, where = – ,
Find,
(i).the starting velocity of the stone
(ii).the velocity and the acceleration of the stone when t=3 and t=4
(iii).the maximum height reached by the stone and the time taken to reach that height.
(b) Find the slope of the tangent to the curve,
– + –1=0 at the point (1,2).
(c) Determine the surface area of the solid obtained by rotating = , 1= 2 about the -axis.
(02)

(a) Integrate each of the following function with respect to the given variable.
(i).
(ii).
(iii).

(b) Evaluate the following integral
(i). Using Integration by Parts.
(ii). Using a standard Calculus substitution.
(c) Find the area between the curve = + – , the y axis and the lines y=-1 and y=2.

FOR YOUR ASSIGNMENTS TO BE DONE AT A CHEAPER PRICE PLACE THIS ORDER OR A SIMILAR ORDER WITH US NOW